PLEASE NOTE:
*
WORKSHOP ON SCIENTIFIC REQUIREMENTS FOR MITIGATION OF
HAZARDOUS COMETS AND
ASTEROIDS
http://www.noao.edu/meetings/mitigation/index2.html
(Workshop Sponsored by NASA; co-sponsored by Ball Aerospace and
Science
Applications International Corporation)
Dates: September 3 through 6, 2002
Venue: Hyatt in Arlington, Virginia
Background Rationale and Goals for the Workshop
One hundred years is approximately the time scale for a 10%
probability of
an Earth impact by a 100-meter sized near-Earth asteroid, one
capable of
causing substantial regional disruption or destruction of
societal
infrastructure.
This is also the estimated time (~ 70 years) necessary to assure
the
development of an appropriate mitigation technology and learn how
to apply
it to an Earth threatening object (Belton et al, 2001).
These timescales are similar to the typical lifetime of a family
from birth
through the death of grandchildren, and can be expected to be of
particular
interest to contemporary society.
This confluence of timescales gives present urgency and special
interest to
consideration of the scientific foundations on which near-Earth
object (NEO)
collision avoidance and impact mitigation technologies must be
based.
Programs for the detection of possible impactors are well in
hand, and ideas
abound on how to apply the energy required to either disrupt or
deflect an
incoming impactor (Hazards due to Comets & Asteroids, T.
Gehrels, Ed.,
1994). Yet little published work exists to address the detailed
scientific
and technical requirements for avoidance and mitigation
technologies, and
whether an adequate knowledge base exists.
The need for space exploration of NEOs is widely recognized (e.g.
in the
Spaceguard Survey report, Morrison, 1992; Space Surveillance,
Asteroids and
Comets, and Space Debris, USAF Science Advisory Board report,
1997). More
recently, a UK Task Force on NEOs (Atkinson, 2001) recommends
that an
international approach be considered that employs a coordinated
set of
rendezvous missions based on inexpensive micro-satellite
technology.
Even with the publication of such recommendations it is not
clear, from what
has been published, that they are offered on a secure scientific
and
technical basis. For example, micro-satellite spacecraft do have
an
important role to play in the future scientific exploration of
NEOs. Yet for
impact mitigation or collision avoidance technologies to succeed,
a high
priority must be placed on scientific investigations intimately
associated
with the deep interior structure and special material properties
of these
objects.
Beyond revealing fundamental clues to the origins of planets,
knowledge of
the deep interior structure of asteroids and comets is a
requirement if one
means to apply whole-body forces to them and achieve predictable
results.
To measure and characterize the needed properties encompassing
mass, mass
distribution, material strengths, internal structure, shape, and
spin state
(Huebner and Greenberg, 2002), novel kinds of spacecraft
investigations will
be required. Locally, drilling and digging from the surface can
provide some
of these data, but will probably be restricted to a limited
depth. Globally,
radio and seismic wave experiments with active sources analogous
to those
used in terrestrial exploration may be necessary. This will
require the
development of whole new encounter technologies, and may lead to
new
mitigation strategies as well.
This workshop will review what is known about the physics and
chemistry of
the interiors of small cometary nuclei and asteroids with the
purpose of
attaining a geophysical understanding of asteroids and comets in
near-Earth
space. In addition, the workshop will work towards the following
specific
goals:
Determination of the scientific requirements for those collision
avoidance
and impact mitigation technologies that are considered viable.
This includes
identification of measurements that are needed and the accuracy
that should
be attained.
Determination of what mission models and instrumentation
developments are
needed to make these measurements.
Construction of a mission and research roadmap for achieving an
adequate
level of knowledge on which to base the future development of
practical and
reliable collision avoidance and impact mitigation systems.
References:
Atkinson, H. 2001. UK Task Force on Near-Earth Objects. This
report is best
acquired through its web page:
http://www.nearearthobjects.co.uk/neo_report.cfm
Belton, M.J.S., E. Asphaug, W. Huebner, and D. Yeomans 2001.
Scientific
requirements for NEO Impact Mitigation. Presented at Asteroids
2001 meeting,
Palermo, Sicily.
Hazards due to Comets and Asteroids 1994. Edited by Tom Gehrels,
University
of Arizona Press.
Huebner, W.F., and J.M. Greenberg 2002. Erice Workshop Summary on
Physical
and Chemical Properties of Potential Earth Impactors, Meteoritics
and
Planetary Science, In Press.
The Spaceguard Survey: Report of the NASA International
Near-Earth-Object
Detection Workshop 1992. Edited by David Morrison. Pasadena, CA:
Jet
Propulsion Laboratory.
USAF Scientific Advisory Board 1997. Space Surveillance,
Asteroids, and
Comets, and Space Debris, Vol 1, Space Surveillance, SAB-TR-9604.
========
ABSTACTS
http://www.noao.edu/meetings/mitigation/media/invited_abs.pdf
SIZES AND STRUCTURES OF COMETS AND ASTEROIDS: WHAT IS WORTH
MITIGATING, AND
HOW?
Erik Asphaug, Earth Sciences Dept. University of California,
Santa Cruz
asphaug@es.ucsc.edu
Once every 20,000 years, a huge rock mass slams into an ocean
basin with
little or no warning, generating a tsunami with wave energy
equivalent to ~3 gigatons of TNT.
Hundred meter high waves propagate across the impacted ocean
basin, obliterating coastal
cities in their wake. Hundreds of millions of lives are lost, and
the cost in purely
economic damage is in the trillions of dollars. Yet we do almost
nothing
about it. I am talking about volcanic island landslides. Waves
spawned by
once-per-20,000 year collapses of volcanic mountain flanks
(Cumbre Vieja,
Kilauea, etc.) are about the same wave energy as would be spawned
by a 600 m
diameter asteroid (S. Day, pers. comm. 2002). Interestingly,
20,000 years is
also about the mean recurrence interval for 600 m NEO impacts.
Smaller
island collapses (e.g. Ritter Island, 1888) are certainly more
frequent than
Tunguska-type airbursts, and probably cause at least as much
potential harm.
And the largest volcanic events, such as the Siberian flood
basalts which
may have conspired to end the Permian, are about as rare and
evidently as
deadly as the largest impact events in the present solar system.
These
numbers are all quite rough, and the parallels not entirely
satisfactory
(for instance, asteroids can hit suddenly and anywhere). But it
helps
objectively constrain our concern with NEOs. They do represent
the one
potentially catastrophic natural disaster that we think we can
mitigate, yet
mitigation has its own costs and risks, and if those costs
overwhelm the
costs of the underlying fundamental research, and if those risks
outweigh
the hazard they are aiming to subdue, there is little point. At
some small
diameter, we all agree, mitigation is not worth the trouble. What
size is
that? In my talk I hope to address this with some precision, or
at least
with some geophysical motivation. Any proposed mitigation
scenario will be
enormously expensive to develop; $10G (~15% the cost of Space
Station) is
probably a fair estimate of the cost to deflect or disrupt a 300
m diameter
NEO with appropriate lead time. In comparison, ~3% of this amount
would
support a Discovery-class telescope interior to Earth (orbiting
at Venus L2,
say) capable of telling us with near certainty in two decades
that nothing
out there larger than 300 m is going to hit us before the next
century. Of
course, we face a ~1/500 chance of learning bad news instead of
good from
such a survey - i.e. that we need to prepare for a 300 m impact
before 2100
- but then we'll know. From a purely fiscal perspective, it makes
500/3% =
2.10^4 times more sense to pursue advanced reconnaissance of
NEAs, than to pursue
any engineered mitigation solution before its time.
Reconnaissance is such an enormous
bargain that any money spent elsewhere, if taken from the same
pool of
funds, is folly. This argues strongly for putting the NEO search
in a
protected budget, so that it does not compete with vastly more
expensive,
and in the end probably unnecessary, initiatives related to
hazardous NEOs.
Yet we do speculate "what if 2002 NT7 was headed our way in
2019".
Thermonuclear asteroid mitigation - perhaps our best hope in that
one-in-a-million dire circumstance with such little lead time -
can easily
be developed alongside existing weapons testing and development
programs.
Indeed, research in this area can be continued, and even
promoted, in a
manner that affirms Article IV of the Outer Space Treaty
(prohibiting
weapons in space) and which affirms the present Comprehensive
Test Ban
Treaty. Thermonuclear weapons design is done in the modern era by
computer
modeling, coupled with field- and lab-testing of individual
deployable
components in a manner that does not yield an explosion. Of
particular
relevance is the United States Department of Energy Accelerated
Strategic
Computing Initiative which oversees modeling efforts using the
world's
fastest supercomputers to perform high-fidelity simulations
running advanced
3D thermophysical and nuclear reaction codes. DoE-ASCI is a
well-established
and well-funded research program that is already perfectly suited
to oversee
model development and testing of any thermonuclear asteroid
mitigation
scenario, alongside the DoE's banner goal to "shift promptly
from nuclear
test-based methods to compute-based methods" (see
http://www.lanl.gov/asci/asci.html).
One need not be branded a blind optimist to presume that advanced
and
benign, perhaps even profitable technologies for NEO mitigation
shall be
developed in the coming centuries, so that thermonuclear asteroid
mitigation
never happens. In the year 25,000 - the average time between now
and the
next 300 m asteroid strike - we will presumably have better
tools. But in
the interim we can learn the detailed effects of high energy
explosions on
asteroids by combining existing models for asteroid impact
disruption with
national security computations related to weapons performance.
But a model
is only as good as its boundary conditions, and any mitigation
modeling
program would have to be complemented by extensive field
reconnaissance of
asteroids and comets. Which brings us back to the scientific
requirements
that are the subject of this conference: how do we adequately
characterize
an asteroid's geology. Rational NEO mitigation priorities are
therefore
approximately as follows: (1) Link NEO impact predictions to
existing
warning centers, as this can be done at almost zero cost
immediately (e.g.
(http://www.prh.noaa.gov/pr/ptwc/aboutptwc.htm).
(2) Complete the NEO
catalog down to about 300 m, for about $300M, within about 30
years. (3)
Determine detailed geological characteristics, for a wide range
of comets
and asteroids, down to sizes of a few 100 m. The latter folds in
superbly
with the goals of solar system exploration, especially since we
now know
that NEOs are objects from the main belt and beyond, delivered to
our
doorstep for free. These priorities alone are going to represent
an uphill
but worthy battle for tax dollars. Going another step - trying to
deploy
intervention mitigation at this time, beyond the conceptual stage
- will be
a dramatically unsound investment until these first three steps
are complete, and may in
fact hinder their timely completion by competing for funds.
Moreover, and
perhaps most seriously, it may elicit a suspicion regarding the
honest goals
of planetary science, if comparable plans are not also laid out
for
volcanologists to mitigate the impending collapse of Cumbre
Vieja.
==============
LANDER AND PENETRATOR SCIENCE AT NEOS
Andrew J Ball, Planetary and Space Sciences Research Institute,
The Open University, Walton Hall, Milton Keynes MK7 6AA, UK
a.j.ball@open.ac.uk
Some of the surface or sub-surface investigations needed to
support
Near-Earth Object risk assessment and mitigation demand contact
with the
surface. This talk will look at some of the conceivable
experiments for
which this is the case and will highlight existing technologies
and concepts
applicable to missions to the surfaces of comets and asteroids.
Current
capabilities will be described and recommendations made
concerning
technology development. Possibilities for surface missions
include
destructive impacts, passive projectiles, payload-delivery
penetrators, soft
landers, touch-and-go measurements, end-of-mission landings and
various
concepts for surface or sub-surface mobility. The low gravity
environment
means that a 'surface mission' may in some cases be achievable
with a
spacecraft hovering at very low altitude, rather than actually
landing.
=============
ADVANCES IN GROUNDBASED CHARACTERIZATION OF THE NEO POPULATION
Richard P. Binzel (MIT)
Over the past decade the growth in groundbased measurements of
NEO physical
properties has struggled to keep pace with the increase in their
interest and their
discovery rate. Physical parameters (such as their spectroscopic,
shape, and
rotation properties) were known for only a few dozen NEOs in
1990. By 1998
measurements were in hand for about 100 objects. Today the
current sample is
nearly 300 objects. These studies are revealing the population to
be diverse
and in some cases seemingly bizarre, as material strength and
gravity
compete to form and hold NEOs in stable shape and rotational
configurations.
Beyond the opportunity to study the structural nature of the
smallest
observable solar system bodies, the scientific rationale for
studying
near-Earth objects also focuses on understanding the
relationships between
asteroids, comets, and meteorites. Through the analysis of a
large sample
groundbased spectroscopic and albedo measurements, we are
beginning to
achieve good constraints on the actual compositional and size
distribution
of the NEO population. These are giving insights to the main-belt
and
extinct comet source regions for NEOs. We are also making
substantial
progress in directly relating NEOs in space to their hand samples
studied as
meteorites in the laboratory. It is the combined knowledge of
size, shape,
internal structure, and composition that are most critical to
addressing how
to effectively mitigate the possible impact threat posed by any
particular
object.
As our basic understanding of the NEO population and its origins
has
advanced, so to has the level of scientific questions we can ask.
Is there
evidence for groupings (or "families") of NEOs that
pinpoint common
collisional or dynamical origins? Are there "streams"
of NEOs that may favor
delivery of particular types of meteorites relative to others? Is
the subset
of "potentially hazardous objects" (PHAs)
representative of the total NEO
population? Which NEOs are the "best" for spacecraft
exploration in terms of
both accessibility and intrinsic scientific interest (taking into
account
such factors as unusual structure or composition)? While the
first level of
questions about the nature of NEOs can be (and is being)
addressed by
"random" statistical surveys of the population, the
more advanced questions
require directed studies of particular NEOs. Directed studies are
inherently more
difficult because almost any given NEO makes infrequent passages
near the Earth that
provide favorable opportunities for observation. In most cases
objects are discovered
BECAUSE they are making a particularly favorable apparition and
the best opportunity
for performing physical studies is immediate to the time of
discovery. The
groundbased telescope time and aperture requirements for such
directed
studies of specific NEOs is quite different from the statistical
studies
that have been carried out to date. Nearly dedicated access to a
modest
(4-m) aperture telescope is required for thorough
characterization of
discoveries and select opportunities with large (6-10m)
telescopes are
required for characterizing specific objects of high interest.
==============
UNDERSTANDING THE DISTRIBUTION OF NEAR-EARTH OBJECTS
William Bottke (SwRI), Alessandro Morbidelli (Obs. Nice) and
Robert Jedicke
(U. Arizona)
The orbital and absolute magnitude distribution of the Near-Earth
Objects
(NEOs) is difficult to compute, partly because known NEOs are
biased by
complicated observational selection effects but also because only
a modest
fraction of the entire NEO population has been discovered so far.
To
circumvent these problems, we have used numerical integration
results and
observational biases calculations to create a model of the NEO
population
that could be fit to known NEOs discovered or accidentally
rediscovered by
Spacewatch. This method not only yields the debiased orbital and
absolute
magnitude distributions for the NEO population with semimajor
axis a < 7.4
AU but also the relative importance of each NEO replenishment
source. We
list a few of our key findings here, with a full accounting given
in Bottke
et al. (2002a, Icarus 156, 399). Our best-fit model is consistent
with 960
+/- 120 NEOs having absolute magnitude H < 18 and a <7.4
AU, with
approximately 55% found so far. Our computed NEO orbital
distribution, which
is valid for bodies as faint as H < 22, indicates that the
Amor, Apollo, and
Aten populations contain 32%, 62%, and 6% of the NEO population,
respectively. We estimate that the population of objects
completely inside
Earth's orbit (IEOs) arising from our NEO source regions is 2%
the size of
the NEO population. Overall, our model predicts that 37 +/- 8%,
25 +/- 3%,
23 +/-9%, 8 +/- 1%, and 6 +/- 4% comes from the nu_6 resonance,
the
intermediate-source Mars Crossing (IMC) region (i.e., a
population of
Mars-crossing asteroids with perihelion q > 1.3 AU located
adjacent to the
main belt), the 3:1 resonance, the outer main belt, and the
Jupiter-family
comet region, respectively. The influx rates needed to replenish
the NEO
population and the identification of extinct comets in the
Jupiter-family
comet region will also be discussed. Applying the results of this
model, our
team has also developed a method for determining the debiased
albedo/orbital
distribution of the NEOs (Morbidelli et al., 2002, Icarus, in
press). Our
work shows that an observationally complete NEO population with
diameter D >
0.5 km should contain 53% bright objects (e.g., S-type asteroids
like 433
Eros) and 47% dark objects (e.g., C-type asteroids like 253
Mathilde). By
combining our orbital distribution model with our albedo
distribution model,
and assuming that the density of bright and dark NEOs is 2.7 and
1.3 g
cm^-3, respectively, we estimate that the Earth should undergo a
1000
megaton (MT) collision every 64,000 years. On average, the bodies
capable of
producing 1000 MT blasts are those with H < 20.5; only 18% of
them have been
found so far. We have also combined our debiased NEO population
results with
a survey simulator in order to investigate the time needed by
existing NEO
surveys to find 90% of the NEOs larger than 1 km diameter. In our
most
realistic survey simulations, we have modeled the performance of
the LINEAR
survey over the 1999 -2000 (inclusive) period (Jedicke et al.
2002, Icarus,
in press.). Tests indicate that our survey simulator does a
reasonable job
at reproducing LINEAR's NEO detections over this time frame. For
this
reason, we have some confidence that extending our simulator
results into
the future will also produce realistic results. Our results
indicate that
existing surveys (as of January 2001) will take another 33 +/- 5
years to
reach 90% completeness for D > 1 km asteroids. Our predicted
timescale to
reach the Spaceguard goal is longer than other recent estimates
because our
undiscovered NEOs have a very different orbital distribution than
our
discovered NEOs. Conversely, advances in survey technology over
the last
6-12 months have allowed LINEAR to improve their limiting
magnitude (J.
Evans, personal communication), such that they can now find
fainter objects
than they could as of January 2001. We are still investigating
the implications of their changes (and improvements made to other
NEO
surveys), but our test results suggest that the Spaceguard goal
could be
achieved as soon as 2014, better than the 2035 estimate given
above. We
believe this issue will need to be continually revisited over the
next
several years as surveys get better at finding NEOs. We have not
yet
attempted a cost-benefit analysis, but our results suggest that a
local-area
network of telescopes capable of covering much of the sky in a
month to
limiting magnitude V ~ 21.5 may be administratively, financially,
and
scientifically the best compromise for reaching 90% completion of
NEOs
larger than 1 km diameter by 2008. We find that distributing
survey
telescopes in longitude/latitude may produce a 25% savings in the
time
needed to reach the Spaceguard goal. This value can be used to
assess the
relative merits of a southern hemisphere NEO survey against
factors like
cost, time needed to reach operational status, etc. Our results
also
indicate that a space-based satellite survey on an orbit inside
Earth orbit
(e.g., perihelion near Mercury) would offer significant
advantages over
terrestrial surveys, such that a Discovery-class mission to
discover NEOs
might be warranted. For more information on these topics, please
go to:
http://www.obs-nice.fr/morby/ESA/esa.html
================
WHAT WE KNOW AND DON'T KNOW ABOUT ASTEROID SURFACES
Clark R. Chapman, Southwest Research Inst., Boulder CO
One of the most fundamental aspects of mitigating an impact
threat by moving
an asteroid involves physical interaction with the asteroid.
Whether one is bathing
the asteroid surface with neutrons, bolting an ion thruster or
mass driver onto the
surface, or trying to penetrate the surface in order to implant a
device
below the surface, we need to understand the physical attributes
of the
surface. Of course, we must understand the surface of the
particular body
that, most unluckily, is eventually found to be headed for Earth.
But, in
the meantime, it will advance our ability to design experiments
and
understand data concerning the particular body if we have
thought, in
advance, about the range of surface properties we might
encounter. We
already know, from meteorite falls, that asteroidal materials can
range from
strong nickel-iron alloy (of which most smaller crater-forming
meteorites,
like Canyon Diablo, are made) to mud-like materials
(like the remnants of the Tagish Lake fireball event). But the
diversity
could be even greater, especially on the softer/weaker end of the
spectrum,
because the Earth's atmosphere filters out such materials. That
is why many
meteoriticists doubt that we have any macroscopic meteorites from
a comet.
We could readily expect some icy, snowy, frothy, and dusty
materials on the
surfaces of asteroids and comets, and perhaps still stranger
materials (e.g.
with the structure of styrofoam). A common framework for thinking
about
asteroid surfaces is to extrapolate from our very extensive
knowledge of the
lunar regolith. Indeed, there is a considerable literature
concerning
asteroid regoliths (mostly published in the 1970s and 1980s)
based on
theoretical extrapolation from lunar regolith models and on
inferences from
what are termed "regolith breccia" meteorites. These
studies suggested that
we should expect both similarities and differences from our lunar
experience, for asteroids several km in diameter and larger. Less
thought
was given to smaller asteroids, except that at small sizes there
must
eventually be a transition to a "bare rock in space."
The Earth-approaching
asteroid Eros is large enough that it was expected to have a
roughly
lunar-like regolith, although perhaps somewhat coarser and less
well mixed.
A major surprise from the NEAR Shoemaker mission to Eros is that
its surface
is totally unlike the Moon's, particularly at spatial scales of
centimeters
to tens of meters - just the scales relevant for human
interaction with an
asteroid. The Moon is covered with a well-churned regolith
(basically a
sandy soil, with occasional larger rocks and boulders, especially
near
recent craters large enough to have penetrated the
several-meter-deep
regolith down to bedrock), and its surface is characterized by
innumerable small craters.
Eros, on the other hand and despite its lunar-like appearance at
spatial
scales larger than ~100 meters, has been found to have relatively
few
craters tens of meters in size, and almost no craters cm to
meters in size.
Instead, the surface of Eros is dominated by countless rocks and
boulders,
except in localized flat areas (nearly devoid of both craters and
rocks)
that have been called "ponds".
The lesson is that extrapolations from meteoritical and lunar
studies proved
wrong. Evidently, our generalized understanding of the processes
that shape
asteroid surfaces is wrong in one or more fundamental ways. The
way that we
can really tell what an asteroid surface is like is to measure it
directly
rather than to theorize about it. It is tempting to draw
inferences from the
NEAR Shoemaker data about what the surfaces of asteroids, or at
least of
S-type asteroids, are like. Indeed, it is the best evidence that
we have.
But, as indicated above, the NEAR Shoemaker surprises are not yet
understood, although some hypotheses have been offered. And there
is much
that we don't know. The ponds are thought by many to be deposits
of fine
particulates (e.g. electrostatically levitated dust), but our
best
resolution is only a couple of cm and we do not even know for
sure that
these surfaces aren't solid and hard. Although the NEAR Shoemaker
spacecraft
landed on Eros' surface, we never got to see the gouges it may
have made.
Even once the NEAR Shoemaker data are thoroughly analyzed, it is
not clear
how relevant the interpretations will be for asteroid mitigation,
which will certainly
involve much smaller bodies. In terms of self-gravity, the
multi-hundred-meter body we might want to deflect from Earth
impact is as
different from Eros as Eros is from the Moon. These bodies will
likely have
essentially no modern regolith on them at all. But there may be
legacy
regoliths, evolved on the larger bodies from which the small
bodies were
formed...or almost any kind of unexpected structure.
===========
IMPACT PROBABILITIES AND LEAD TIMES
Steve Chesley (JPL/Caltech) and Tim Spahr (CfA, Harvard Univ.)
The most important requirement, scientific or otherwise, for any
impact
mitigation is the recognition of the hazard, since, in the
absence of a
perceived impact risk, there is neither the incentive nor the
capability to
address the threat. Therefore, the success of any potential
mitigation
effort will rely heavily upon our ability to discover, track and
analyze
threatening objects. In this presentation we will consider the
effectiveness
of the present surveying and monitoring capabilities by
bombarding the Earth
with a large set of simulated asteroids that is statistically
similar to the
impacting population. Our aim is to see how many of these
impactors might be
recognized as threatening, and what is the reliability and
expected lead
time for such recognition. To begin, we form a large set of
"typical"
impactors. For this purpose we use the debiased NEA population
model
developed by Bottke et al. (2000, Science 288, 2190). Starting
with a very
large population of NEAs we derive a set of 1000 impactors by
first reducing
the population to those for which the minimum orbital separation,
or MOID,
is low enough to permit an impact. Impactors are sampled from
this low MOID
set according to the fraction of their orbital period that they
spend within
the Earth-capture cross-section of the Earth's orbit, a value
that can range
from as much as a few percent for Earth-like orbits down to 10^-9
for
low-MOID cometary orbits. This sampling approach allows for the
more
hazardous orbital classes, such as low inclination, Earth-like or
tangential
orbits, to have appropriately increased prominence among the
simulated
impactors. The orbital characteristics of the impacting
population are
important from a mitigation perspective in terms of both
discovery and
deflection efforts and these issues will be addressed. Given a
set of
impactors one can ask whether and when they would be discovered
by various
NEO surveys with differing sky coverages and brightness limits.
To approach
these questions we run survey simulations, recording detections
for various
object sizes. This allows us to infer the distribution of warning
times as a
function of size. If there is a warning before an impact, the
warning time
will generally be measured either in years or else in weeks. In
the former
case mitigation by disruption or deflection of the object may be
feasible,
while in the latter case mitigation will be limited to evacuation
of the
impact region, etc. Detectability at the final apparition is
often very
challenging since the objects will tend to have rather slow
sky-plane motion
and will generally be located far from the heavily-searched
opposition
region. This means that in many cases, especially for the smaller
objects,
if a last-minute detection does occur it is not likely to be
until the
object is close enough for the parallactic motion to be
detectable,
generally a few weeks before impact. The detection lead time is
important in
determining the time available for mitigation, but it is not the
only
factor. There is some delay between the discovery of the asteroid
and the
recognition that it poses a threat worthy of mitigation. The idea
of
continually monitoring the ever-evolving asteroid orbit catalog
for
possibilities of impact is fairly new, and the first automatic
collision
monitoring system was fielded less than three years ago. Today
there are two
independent and parallel systems, at JPL and the Univ. of Pisa,
that are
operating continuously to scan for potential impacts. These
efforts have
been very successful at detecting potentially hazardous future
encounters
for newly discovered asteroids and reporting the results to the
NEO
community. Follow-up observers have responded enthusiastically
with
observations that permit the hazard assessment to be refined and
usually
eliminated. We will consider a few impact case studies to
understand how
rapidly after discovery the probability of an impending impact
can be
expected to increase as time passes, and in particular to
understand how
this affects the lead time for mitigation.
============
THERMOPHYSICAL PROPERTIES OF COMETS AND ASTEROIDS INFERRED FROM
FIREBALL
OBSERVATIONS
Mario Di Martino, INAF - Osservatorio Astronomico di Torino
Fireballs are very important events to derive basic physical
information on
near-Earth objects in a size range for which detection using
conventional
astronomical techniques is particularly difficult. The observable
features
of these events give relevant information about the physical
properties of
their parent bodies, and their likely origin. This may be
important, for
instance, to better evaluate the relative abundance of bodies
having a
likely cometary origin. At the same time, a better estimate of
the frequency
of fireball events can put essential constraints on the general
trend of the
NEO size distribution, by providing data referring to an interval
of the
mass spectrum that is very poorly known at present. The major
problem in
fireball observations, however, is that currently only a minor
fraction of
the events are actually detected and recorded, and detections
occur mostly
in the form of serendipitous discoveries made by satellites
devotedto other
purposes. The situation can drastically improve if dedicated
observing
facilities will be developed. Due to the large areas of sky to be
monitored
for efficient fireball detection, the development of dedicated
space-based
facilities is strongly needed.
============
MISSION CONCEPTS FOR NEO CHARACTERIZATION
Richard Dissly and Rich Reinert, Ball Aerospace &
Technologies Corp.
The scientific characterization of potentially hazardous Near
Earth Objects
will require a series of spacecraft missions to fully address the
measurements required for the optimized implementation of any
mitigation
strategy. In addition, current surveys of the NEO population can
benefit
tremendously from space-based observational missions. This talk
will cover
both reconnaissance and survey mission concepts. Mission concepts
will be
discussed in reference to the scientific questions they are
designed to
address. Measurement implementation strategies drive mission
design some
examples:
* What measurements can be made remotely?
* What measurements require a part or all of the spacecraft to
contact the body?
* Is the contact on the surface or sub-surface?
* Is the contact long-term or an ephemeral event?
Future mission architectures so categorized will be compared to
previous and
current mission designs. The discussion will assess the technical
maturity
of future concepts and make preliminary estimates of the
associated costs.
This talk will also address technology developments that can
facilitate
suggested measurements.
==============
SCIENTIFIC REQUIREMENTS FOR ENABLING FUTURE TECHNOLOGIES
Alan W. Harris, JPL
I am, at present, an observational astronomer, specializing in
physical
observations of asteroids, especially of the Near-Earth variety.
It
therefore seems likely that I should advocate intensive physical
observations of NEAs in order to characterize the one that may
get you.
Instead, however, I will argue that we already know the range of
physical
properties of NEAs well enough that the problem with respect to
mitigation
is not a lack of knowledge of the range possible NEA properties.
Instead it
is our lack of knowledge of the specific properties of the one
with our name
on it: its size, mass, density, composition, material strength,
whether it
is one body or two, and so forth. We know that NEAs range from
meteoroids to
dinosaur-killers ten or twenty kilometers across, from near dust
balls to
solid iron, from spheres to long skinny pencils-in-the-sky and
even binary
objects. The only way we can know the specific properties of
the one with our name on it is to find it. Additional physical
studies will
not do much to narrow down the range of possibilities, so if one
insists on
being prepared, one must simply deal with the entire range of
possibilities
of sizes, orbits, and physical states of the entire population,
which we
actually know quite well enough. Thus surveys must remain the
most important
astronomical endeavor relating to the impact hazard. That being
said, I will
advocate continued, and hopefully increased, physical studies for
two
reasons. First, the survey discoveries currently being made
represent a
superb opportunity for scientific investigations apart from the
hazard
issue. It borders on criminal neglect to not take advantage of
these
opportunities for physical studies for their scientific return
alone.
Consider that NASA has spent, and continues to spend, hundreds of
millions of dollars
on missions to obtain high-resolution images of small bodies.
Ground-based radars are
capable of yielding comparable quality results (perhaps somewhat
inferior in resolution
but superior to flybys in time resolution), e.g. from the recent
(future as
I write this) close passage of the newly discovered 2002 NY40 in
mid-August.
Most of what we know about NEA binaries has been gleaned by
rapid-response
observations of recent discoveries. This is 100% true of the many
tiny
super-fast rotators found. We would not even know this population
exists if
it weren't for rapid follow-up observations (and some raving
speculations of
theorists). The second justification of physical observations
does have
indirect application to the hazard issue. In order to
characterize the NEA
population as it is discovered one must obtain at least a
statistical sample
of properties. The most fundamental physical parameter is size,
characterized most simply by absolute magnitude H. Even this is
not well
determined by the surveys and should be refined by
well-calibrated
photometric observations. Since absolute magnitude is the
fundamental metric
for tracking progress of the survey, this much should be done for
every
discovered object. In addition, at least a statistically
significant
sampling of other properties, spectra and radiometric albedo,
should be
undertaken so as to "calibrate" the transformation from
sky brightness to a reasonable
estimate of physical size of objects. Returning to the matter of
enabling mitigation
technology, I will not speculate on how to kill an asteroid,
other than to
posit that it will require rendezvous. In the distant past, I
naively
speculated that one might deflect an asteroid by a standoff
nuclear blast,
causing spallation of a surface layer leading to recoil of the
main body. It
now appears very likely that most NEAs larger than a couple
hundred meters
in diameter are not monolithic and indeed are almost certainly
disjoint
"rubble piles" of some sort or another. Spallation is
not likely to work.
Any other method of deflection I can imagine will require
rendezvous. Thus
we should consider the requirements of rendezvous missions, not
simply flyby
ones. In another life, I was (maybe still am) a celestial
mechanic, so I
will next speculate a bit on "getting there."
It has often been said that NEAs are the easiest targets in the
solar system
for space missions. This is especially true for flyby missions to
an
asteroid on a collision trajectory with the Earth. Given a few
orbits in
advance, all you have to do is barely escape the Earth and park
in an orbit
with a slightly different period to move ahead or behind the
Earth's
position in orbit as needed to effect the close flyby (or
impact). This has
led some folks to speculate that a cheap mitigation system could
be put
together out of a few spare ICBMs and standard nukes already on
hand. I
maintain this is so unlikely to be effective that it should not
be
contemplated or advocated. For rendezvous missions, NEAs are only
easy
targets if you get to choose the target; e.g. 4660 Nereus is
unquestionably
an easy rendezvous target. Unfortunately, if nature chooses the
target for
you (the one with your name on it), it is not likely to be easy.
Simplistically, the velocity needed to match orbits with such an
object is
approximately equal to the impact velocity it will have when it
hits
(hopefully achieved at least a few orbits sooner). The mean (RMS)
impact
velocity of NEAs for actual discovered orbits is around 20
km/sec. I once
heard no less an authority than Werner Von Braun himself declare
that a
Saturn-V could send a Volkswagen to Pluto, which is a similar
delta-v task
to a rendezvous with an "average" NEA. It is not a task
suitable for a
surplus ICBM to achieve such a launch velocity (15 km/sec plus
Earth
escape). Indeed, with chemical propulsion current launch vehicles
couldn't
get much more than a shoebox to such a velocity. There are tricks
to reduce
the launch energy requirements, such as gravity assist
trajectories, but
these are time consuming and have limitations. Thus it seems to
me that
the most important "enabling technology" for impact
mitigation is the
development of advanced high-energy propulsion systems. We must
first enable
simply getting there before worrying over much about what to do
when we
arrive. I must conclude, however, that even "getting
there" is not cheap and
simple, and combined with the extraordinarily low probability of
needing to
"get anywhere," it seems to me unjustified to do more
than paper studies in
advance of the actual discovery of a threatening NEA. High-energy
propulsion
systems are probably worth developing for other reasons (like
going to Pluto
without rebuilding a Saturn-V), but the impact hazard by itself
hardly
justifies doing so. Ceterum censeo machinas ad sidera errantia
deflectenda
struendas non esse.
=============
SCIENTIFIC REQUIREMENTS FUR UNDERSTANDING THE NEAR-EARTH ASTEROID
POPULATION
Alan W. Harris, DLR Institute of Space Sensor Technology and
Planetary
Exploration, Berlin
A vital prerequisite for the development of an effective
mitigation strategy
for hazardous near-Earth asteroids (NEAs) is a thorough
understanding of
their physical nature and mineralogical composition. The
deflection of an
object on collision course with the Earth would require the use
of
considerable force, the successful application of which would
depend on
prior knowledge of parameters such as mass, shape, strength, and
structure.
Recent experience has shown that much can be learned about
individual
objects from fly-by and rendezvous missions and such missions
would play the
dominant role in gathering mitigation-relevant information once a
dangerous
potential impactor had been identified, provided sufficient time
were
available before the impact. In the meantime, it is important to
study the
NEA population in general to enable the most likely physical
characteristics
of a potential future impactor to be anticipated as accurately as
possible.
Groundbased, airborne, and satellite observatories offer a wide
range of
techniques with which large numbers of near-Earth asteroids can
be remotely
sensed, including lightcurve measurements, visible to
thermal-infrared
photometry, visible to near-infrared reflectance spectroscopy,
and radar.
The merits of techniques most useful from the point of view of
NEA hazard
assessment and mitigation, and the type of information each can
provide, are
discussed. The interdependency of the interpretation of data from
the
various observing
techniques is emphasized.
==============
GEOLOGY OF ASTEROIDS: IMPLICATION OF SPIN STATES REGARDING
INTERNAL
STRUCTURE AND SOME IMPLICATIONS OF THAT STRUCTURE ON MITIGATION
METHODS
K. A. Holsapple, University of Washington
The design of asteroid and comet collision mitigation strategies
depends
crucially on knowledge of the body's internal structure and
mechanical
properties; but those are poorly known. While we have clues,
definitive
information eludes us. Planning for mitigation requires focused
efforts; not
only for discovery, but also methods for the determination of
internal
structure and properties, and the study of the science of
proposed
deflection or disruption methods. A natural approach to looking
for such
clues about the makeup of asteroids is to study the implications
of
their observed size, shape and spin. Those properties are
available from the
analysis of the lightcurves of well over 1000 asteroids,
including about 100
NEA's. An asteroid's size, shape and spin produces internal
stresses from
the gravitation and rotational forces. In turn, the asteroid must
be
sufficiently strong to resist those stresses. Thus, a minimum
strength can
be deduced by an analysis of those internal stresses. Knowledge
of that
required strength gives constraints on the internal structure. I
have obtained closed-form
algebraic expressions that give equilibrium stress states as a
function of size, ellipsoidal shape
and spin (Holsapple, 2001). Further, those equilibrium states
must also
satisfy constraints of stability, which further narrows the
possibilities
(Holsapple, 2002). The stable states of equilibrium are then
compared to
strength models to determine the required strength. Geological
materials are
mostly modeled as granular materials with a Mohr-Coloumb
strength, in which
the allowable shear strength is related to the confining
pressure, that
relation depending on the cohesion (strength at zero confining
pressure) and
the so-called angle of friction. The results are surprising:
almost all
known asteroids are within the limits allowed by a cohesionless
material
with some reasonable angle of friction. Further, most are well
within the
limits for relatively low angles of friction, on the order of
20?. As a
result, while we cannot rule out the possibility of additional
strength, all
of those asteroids need only have the strength of a porous
rubble-pile
granular structure.
If indeed many bodies do have such a rubble-pile structure, we
must study
the implications of such a porous structure on proposed
mitigation schemes.
Even if the gross properties of an asteroid are not those of a
rubble-pile,
the presence of a porous regolith may also have a dramatic effect
on
mitigation. I also present some calculations emphasizing the
importance of
porosity on proposed (Ahrens and Harris, 1994; Melosh et al.,
1994)
mitigation methods. Methods utilizing surface and buried nuclear
or chemical
explosions may be reduced in effectiveness by a factor of five or
so by
porosity. Methods using the kinetic energy of an impactor may
also reduced
in effectiveness by a factor of five. Even more dramatically,
methods using
energy deposition and blow-off may be reduced by a factor of 103
in
effectiveness. For example, the use of a standoff nuclear weapon
in the
megaton range would not have any appreciable effect on diverting
a 10km
porous-surface asteroid or comet.
References:
Holsapple, K.A., Equilibrium Configurations of Solid Ellipsoidal
Cohesionless Bodies, Icarus, Volume 154, Issue 2, pp. 432-448
(2001).
Holsapple, K.A., Rubble pile asteroids: Stability of equilibrium
shapes,
Proc. Lunar Planet. Sci. Conf. XXXII, (2002).
Ahrens, T. J. and Harris, A. W., "Deflection and
fragmentation of near-earth
asteroids", in Hazards Due to Comets and Asteroids, ed. by
T. Gehrels
(1994).
Melosh, H. J., Nemchinov, I. V. and Zetzer, Y. I.,
"Non-nuclear strategies
for deflecting comets and asteroids", in Hazards Due to
Comets and
Asteroids, ed. By T. Gehrels (1994).
=============
THE SCIENTIFIC REQUIREMENTS OF FUTURE MITIGATION TECHNOLOGY
R. Kahle 1,2 and Ch. Gritzner 1
1 Dresden University of Technology, Institute for Aerospace
Engineering,
Mommsenstrasse 13, 01069 Dresden, Germany
2 DLR, Institute of Space Sensor Technology and Planetary
Exploration,
Rutherfordstrasse 2, 12489 Berlin, Germany
Introduction: Currently, various ideas for the diversion and/or
disruption
of potentially hazardous objects (PHO) exist. Among them are
systems that
are technologically feasible at present, e.g. kinetic energy
impactors and
nuclear explosives. Others are currently not available within the
designated
size but might be possible with some effort, e.g. propulsion
systems
(chemical, nuclear), and solar concentrators. Some systems seem
to be too
far off to be realized within the next decades such as mass
drivers, solar
sails, and surface layers (Yarkovsky effect). Besides, there are
also
futuristic technologies such as laser systems, eater,
"cookie cutter", and
the use of antimatter. The use of mass drivers as well as solar
sails would
probably demand for large and heavy mechanical structures and
might thus
never become realistic mitigation options. The same can be
expected from the
utilization of the Yarkovsky effect. Further, the
application of kinetic energy impactors or nuclear explosives
might even
worsen the situation in case of an unintended disruption of the
NEO, which
could cause multiple impacts on Earth (firestorms). Here, two
mitigation
concepts will be discussed that could become attractive
alternatives in the
mitigation of hazardous objects: the solar concentrator system
and the
magnetospheric propulsion.
Solar Concentrator: The application of solar concentrators for
NEO
mitigation was discussed first by Melosh et al. [1]. The basic
idea of this
technology is to concentrate solar radiation onto the NEO surface
with a
lightweight (parabolic) reflector. Depending on duration and
intensity of
illumination, the material within the spot will be heated up and
vaporizes.
The evaporated material accelerates to a speed of about 1 km/s
and delivers
an impulse to the NEO. Although the generated thrust is small
(order of
magnitude: 10^1 to 10^2 N) it will suffice to deflect the NEO
from its
collision course with Earth if sufficient lead-time is given
(years). Such a
system could be operated for the duration of several months,
which would
lead to a slight increase in semi-major axis of the hazardous
NEO. For
technology demonstration a small satellite could be built within
short time.
When equipped with instruments, e.g. mass spectrometer, material
properties of the target NEO could be studied at same time.
Magnetospheric Propulsion: The idea of magnetospheric propulsion
is related
to the solar sail concept concerning that both tap the ambient
solar energy
to provide thrust to a spacecraft. But, solar sails suffer from
their
mechanical structure - if large spacecraft or even small
asteroids have to
be propelled, physical limits will be reached, e.g. the system
mass and
problems accompanied by deploying that large structures. Thus,
Winglee et
al. [2] invented a revolutionary propulsion concept for
interplanetary space
missions (named Mini-Magnetospheric Plasma Propulsion - M2P2).
This system
creates a magnetic bubble that will intercept the solar wind. At
a distance
of 1 AU the solar wind particle density is about 6 cm^-3 moving
at a speed
of about 300 to 800 km s^-1. This results in a constant dynamic
pressure of
2 nPa. If the magnetic field cross section is large enough a
continuous
force (order of magnitude: 10^1 N) could be provided. We propose
to use such
a system for NEO diversion. Although the generated thrust is low,
this
system could be operated for a long duration (several months) to
divert a
PHO.
Summary: Both technologies, solar concentrator and magnetospheric
propulsion, could be developed
within short time. For demonstration the systems could be scaled
to small
satellites (about 200 kg). An overview of both systems, relevant
physical
parameters for the interaction, a brief conceptual analysis, and
examples
for orbit diversion will be presented.
References:
[1] Melosh, H.J. et al., Non-nuclear strategies for deflecting
comets and
asteroids, in: T. Gehrels (ed.), Hazards due to comets and
asteroids, pp.
1111-1132, 1994.
[2] Winglee, R.M. et al., Mini-Magnetospheric Plasma Propulsion:
Tapping the
energy of the solar wind for spacecraft propulsion, Journal of
Geophysical
Research, Vol. 105, No. A9, pp. 21,067-21,077, 2000.
=============
PEERING INSIDE NEOS WITH RADIOWAVE TOMOGRAPHY
Wlodek Kofman
The radar technique has been successfully applied for many years
for Earth
and planetary observations, while the tomography has been used
for many
years in medical studies and in non-destructive analysis of
materials. The
Synthetic Aperture Radar is a good example of the use of the
radiowave
imaging inverse scattering technique in radar application. The
idea to use
radiowave sounding to study the interior of comets is applied in
the CONSERT
experiment for the ROSETTA mission. In this presentation, we
start with a
discussion on the ability of the radar tomography to observe the
interior of
asteroids. Then, after a description of the relevant radar
parameters
necessary to define in a very general way the radar designed for
this
purpose, we discuss the principle of Radar Transmission and Radar
reflection
tomography and compare these two methods, discussing their
differences. With
the example of the CONSERT experiment which was developed for a
cometary
mission, and which will be launched in January 2003 on the
ROSETTA mission,
we show how the transmission tomography is used. The CONSERT
system is
briefly described; simulation results of the inversion methods,
and how to
infer the interior of the comets from measurements, are shown.
The
propagation of the waves in the material medium is addressed with
special
attention concerning the attenuation coefficient in the cometary
and
asteroid materials covering their likely composition. This
parameter is
essential for the determination of the frequency and bandwidth of
the radar.
It is thus clear that for asteroid interior peering, we should
use low
frequency radars, surely below 50 MHz, and even this
will not guarantee a total penetration. The monostatic reflection
radar
tomography is probably the only solution. The accuracy of the
satellite
positioning relatively to the surface of the object, which has to
be very
high, of the order of a fraction of the wavelength, is an
additional
argument for the use of low frequency radars. We discuss the
expected radar
performances and show that for small kilometric bodies, the radar
reflection
tomography is a good approach to study the interior of asteroids.
Finally,
radar specifications are proposed.
===============
GEOPHYSICAL CONSTRAINTS ON NEO MITIGATION STRATEGIES
H. J. Melosh, Lunar and Planetary Lab, University of Arizona,
Tucson, AZ
85721
The success of any proposed mitigation strategies depends on two
major
factors: How massive is the NEO and how much lead time do we
have? A
secondary issue is what is the NEO made of and how are its
various parts
arranged. The essential object of deflecting an asteroid or comet
away from
an impending impact with the Earth is to change its velocity.
Given the
astronomical distances likely to separate the NEO from the Earth
at the time
the threat is discovered, only a small velocity change (perhaps a
few
cm/sec) is necessary, but even such small changes are difficult
to achieve
for objects 1 km or more in diameter, which may have masses in
the range of
10^12 kg. The direction in which the velocity impulse is applied
is
important for orbiting objects. An impulse in the direction of
the orbital
motion is much more effective in changing the position of
an object than an impulse in any perpendicular direction.
Deflection
scenarios range from a single impulse delivered long before the
impact, such
as the jolt delivered by a nuclear explosion or impact of another
asteroid,
to long-duration low accelerations delivered by solar evaporation
or a mass
driver. In any case, the deflection process is likely to be
limited by the
energy available, not the reaction mass available, so the optimum
use of the
available energy is to move as much mass as possible, not to
eject it at
high speeds. The success of a given deflection strategy may
depend strongly
on the physical and chemical nature of the NEO. The methods
envisioned for
deflecting a solid silicate rock may differ considerably from
those
effective against a porous aggregate. Recent spacecraft studies
indicate
that the density of asteroids runs the gamut from nearly solid
silicates
(Eros) to highly porous aggregates (Mathilde). Theoretical
cratering studies
and limits on rotational period suggest that most asteroids
larger than a
few km in diameter are thoroughly fractured by smaller impacts.
The
effective strength of any given NEO may thus vary over a wide
range,
especially if it is composed of mechanically independent blocks,
or even
possesses a satellite, as do about 15% of NEOs. Even stony
asteroids may
contain volatiles that could affect the success of some
deflection
scenarios. These considerations make it important to implement a
program in
which determination of the physical and chemical properties of
NEOs are a
major component of any large-scale deflection strategy.
================
SCIENCE AND PUBLIC PERCEPTION (PANEL)
David Morrison
NASA Astrobiology Institute
Impacts are different from other more familiar hazards. The
impact risk is
primarily associated with extremely rare events - literally
unprecedented in
human history. They are the extreme example of a hazard of low
probability
but immense consequences. Although there is a chance of order one
in a
million that each individual will die in any one year from an
impact, it is
not the case that one out of each million people dies each year
from an
impact. Further, impacts threaten not just individuals but
civilization
itself. For many people, impacts are therefore a greater concern
than is
implied by simple numerical risk estimates, since a large impact
could
destroy much that is uniquely human. Others, of course, prefer
(perhaps
unconsciously) to play the odds, based on the very low
probability that any
major impact will occur within our lifetimes. Scientists (aided
by
Hollywood) have succeeded in alerting the world to the existence
of an
impact hazard, and astronomers have successfully undertaken the
Spaceguard
Survey, focused (so far) on the threat of global disaster from
collision
with a NEA of diameter greater than 1 km. We have not yet
established any
goals beyond 2008. Should we continue the present survey to push
the
completeness limits for large asteroids to 95% or 99%? Should we
raise the
bar and build the larger telescopes that will be required to
achieve
completeness at smaller sizes, say 300 m? Or should we begin to
develop
technology to change the orbits of asteroids? To answer such
questions, the
NEO science community needs to engage in active dialog with other
professionals with greater experience in disaster mitigation and
national
security. We need to consider the societal context of NEO
searches and of
approaches to mitigation. These social and political
considerations will
play an important role in determining what priority will be
placed on
protecting our planet from cosmic impacts. We also have a
responsibility to
the public. Every few months this issue is thrust into the public
spotlight,
usually by a report that a newly-discovered asteroid poses
(temporarily)
some low-probability hazard of colliding with the Earth. There is
a
temptation to play up such stories, even though most scientists
realize that
the issue will likely evaporate when a few more observations are
made. Some
members of our community like to appear on TV, and others feel
this is a
good way to garner public support for our work.
We need to ask ourselves if it is really to our advantage to use
these
opportunities to gain media and public attention, especially when
we know
the risk is actually extremely small. There is a serious
potential down-side
if we cry "wolf" too often. Our credibility is at
stake, and hence our
ability to inform the public and perhaps to influence the
decision makers.
We also need to be concerned about confusions between large
impactors and
small ones. Understanding kiloton-energy bollides that explode in
the
atmosphere is important, but this is entirely different from the
search for
dangerous asteroids. Similarly, there is an orders-of-magnitude
difference
in the hazard from large asteroids (larger than a couple of
kilometers) and
that from smaller, Tunguska-class impacts that have no global
consequences.
When we blur these distinctions, we confuse the public and
sometimes even
ourselves. An example is the recent interest in establishing a
government
coordinating and warning center. The implication of this
suggestion is that
we will have many warnings to issue. I don't think so. The
frequency of even
the smallest impacts that do surface damage is no more than one
per century.
Even with a perfect survey, the warning center might therefore
issue fewer
than one warning per human lifetime. Does this make sense? These
are all
issues of public communication, but they ultimately depend on our
own
ethical commitment to deal with the impact hazard in a
responsible, honest
way.
================
RADAR RECONNAISSANCE OF POTENTIALLY HAZARDOUS ASTEROIDS AND
COMETS
Steven J. Ostro, JPL/Caltech 300-233 Jet Propulsion Laboratory,
Pasadena, CA
91109-8099 ostro@reason.jpl.nasa.gov
Groundbased radar is an intelligence-gathering tool that is
uniquely able to
reduce uncertainty in NEO trajectories and physical properties. A
single
radar detection secures the orbit well enough to prevent loss of
newly
discovered asteroids, shrinking the instantaneous positional
uncertainty at
the object's next close approach by orders of magnitude with
respect to an
optical-only orbit. This conclusion, reached initially by Yeomans
et al.
(1987) through Monte Carlo simulations, has been substantiated
quantitatively by comparison of residuals for radar+optical and
optical-only
positional predictions for recoveries of NEAs during the past
decade (Ostro
et al. 2002). Integration of an asteroid's orbit is afflicted by
uncertainties that generally increase with the length of time
from epochs
spanned by astrometry. Eventually the uncertainties get so large
that the
integration becomes meaningless. The duration of accurate orbit
integration
defines our window of knowledge about the object's whereabouts.
Presumably
we want to find out if any given NEO might threaten collision,
and if so, we
would like as much warning as possible. Radar extends NEO
trajectory
predictability intervals far beyond what is possible with optical
data
alone, often approaching the end of this millennium (e.g., 1999
JM8; Benner et al. 2002). For 2002 FC, an eight-week arc of
discovery-apparition optical astrometry could not reliably
identify any
close Earth approaches before or after 2002, but with Arecibo
astrometry
from May 24 and Goldstone astrometry from June 6 (the object's
last radar
opportunity until 2040), close approaches could be identified
reliably
during the 1723 years from 488 to 2211. At this writing, with a
much longer,
3.3-month optical arc, the corresponding intervals are 1951 years
with radar
(464 to 2415) and 137 years without it (2002 to 2139).
For asteroid (29075) 1950 DA, analysis of the radar-refined orbit
(Giorgini
et al. 2002) revealed that there will be a possibly hazardous
approach to
Earth in 2880 that would not have been detected using the
original
half-century arc of pre-radar optical data alone. This event
could represent
a risk as large as 50% greater than that of the average
background hazard
due to all other asteroids from now through 2880, as defined by
the Palermo
Technical Scale (PTS value = +0.17). 1950 DA is the only known
asteroid
whose danger could be above the background level. The uncertainty
in the
probability of a collision in 2880 is due mostly to uncertainty
in the
Yarkovsky acceleration, which depends on the object's shape, spin
state, and
global distribution of optical and thermal properties. This
example
establishes the fundamental inseparability of asteroid physical
properties
and long-term prediction of their trajectories: if we take the
hazard seriously, physical characterization must be given high
priority. For
most NEAs, radar is the only Earth-based technique that can make
images with
useful spatial resolution (currently as fine as ~10 m). With
adequate
orientational coverage, delay-Doppler images can be used to
construct
geologically detailed three-dimensional models (e.g., Hudson et
al. 2000),
to define the rotation state, and to constrain the internal
density distribution. The
wavelengths used for NEAs at Arecibo (13 cm) and Goldstone (3.5
cm), in
combination with the observer's control of the transmitted and
received
polarizations, make radar experiments sensitive to the surface's
bulk
density and to its roughness at scales larger than a centimeter
(e.g., Magri
et al. 2001). The fact that NEAs' circular polarization ratios
(SC/OC) range
from near zero to near unity means that the surfaces of these
objects are
extremely variegated. In many cases, NEA surfaces have more
severe
small-scale roughness than that seen by spacecraft that have
landed on the
Moon, Venus, Mars, or Eros (whose SC/OC is near the NEA average
of ~0.3).
Radar-derived shape models of small NEAs open the door to a wide
variety of
theoretical investigations that are central to a geophysical
understanding
of these objects. With realistic models, it is possible to
explore the evolution and stability of close orbits (e.g.,
Scheeres et al.
1998) with direct application to the design of spacecraft
rendezvous and
landing missions. Given information about the internal density
distribution,
one can use a shape model to estimate the distribution of
gravitational
slopes, which can constrain regolith depth and interior
configuration. A
shape model also allows realistic exploration (Asphaug et al.
1998) of the
potential effectiveness of nuclear explosions in deflecting or
destroying
hazardous asteroids. The most basic physical properties of an
asteroid are
its mass, its size and shape, its spin state, and whether it is
one object
or two. Radar is uniquely able to identify binary NEAs, and at
this writing,
has revealed six (Margot et al. 2002 and references therein,
Nolan et al.
2002), all of which are designated Potentially Hazardous
Asteroids (PHAs).
Analysis of the echoes from these objects is yielding our first
information
about the densities of PHAs. Current detection statistics suggest
that
between 10% and 20% of PHAs are binary systems. The risk of a
civilization-ending impact during this century is about the same
as the risk
of a civilization-ending impact by a long-period comet (LPC)
during this
millennium. At present, the maximum possible warning time for an
LPC impact
is probably between a few months and a few years. Comet
trajectory
prediction is hampered by optical obscuration of the nucleus and
by
uncertainties about nongravitational forces. Radar reconnaissance
of an
incoming comet would be the most reliable way to estimate the
size of the
nucleus (Harmon et al. 1999) and would be valuable for
determining the
likelihood of a collision.
References
Asphaug E. et al. (1998). Disruption of kilometre-sized asteroids
by
energetic collisions. Nature 393, 437-440.
Benner L. A. M. et al. (2002). Radar observations of asteroid
1999 JM8.
Meteoritics Planet. Sci. 37, 779-792.
Giorgini J. D. et al. (2002). Asteroid 1950 DA's encounter with
Earth in
2880: Physical limits of collision probability prediction.
Science 296,
132-136.
Harmon J. K. et al. (1999). Radar observations of comets. Planet.
Space Sci.
47, 1409-1422.
Hudson R. S. et al. (2000). Radar observations and physical
modeling of
asteroid 6489 Golevka. Icarus 148, 37-51.
Magri C. et al. (2001). Radar constraints on asteroid regolith
compositions
using 433 Eros as ground truth. Meteoritics Planet. Sci. 36,
1697-1709.
Margot J. L. et al. (2002). Binary asteroids in the near-Earth
object
population. Science 296, 1445-1448.
Nolan M. C. et al. (2002). 2002 KK_8. IAU Circ. No. 7921.
Ostro S. J. et al. (2002). Asteroid radar astronomy. In Asteroids
III (W.
Bottke, A. Cellino, P. Paolicchi, and R. P. Binzel, Eds.), Univ.
of Arizona
Press, Tucson.
Scheeres D. J. et al. (1998). Dynamics of orbits close to
asteroid 4179
Toutatis. Icarus 132, 53-79.
Yeomans D. K. et al. (1987). Radar astrometry of near-Earth
asteroids.
Astron. J. 94, 189-200.
=============
CLOSE PROXIMITY OPERATIONS AT SMALL BODIES: ORBITING, HOVERING,
AND HOPPING
D.J. Scheeres, Department of Aerospace Engineering The University
of
Michigan Ann Arbor, MI 48109-2140
scheeres@umich.edu
Central to any characterization or mitigation mission to a small
solar
system body, such as an asteroid or comet, is a phase of close
proximity
operations on or about that body for some length of time. This is
an
extremely challenging environment in which to operate a
spacecraft or
surface vehicle. Reasons for this include the a priori
uncertainty of the
physical characteristics of a small body prior to rendezvous, the
large
range that can be expected in these characteristics, and the
strongly
unstable and chaotic dynamics of vehicle motion in these force
environments.
To successfully carry out close proximity operations about these
bodies
requires an understanding of the orbital dynamics close to them,
a knowledge
of the physical properties of the body and the spacecraft, and an
appropriate level of technological sensing and control capability
on-board
the spacecraft. In this talk we will discuss the range of
possible dynamical
environments that can occur at small bodies, their implications
for
spacecraft control and design, and technological solutions and
challenges to
the problem of operating in close proximity to these small
bodies.
=============
MISSION OPERATIONS IN LOW GRAVITY, REGOLITH AND DUST
Derek Sears, Shauntae Moore, Shawn Nichols, Mikhail Kareev and
Paul Benoit.
Arkansas-Oklahoma Center for Space and Planetary Sciences and
Department of
Chemistry and Biochemistry, University of Arkansas, Fayetteville,
Arkansas
72701
Introduction
Scientific investigations should be a component of impact
mitigation studies
because knowledge of the nature of the asteroid is necessary for
the
development of deflection techniques and predicting the effects
of
atmospheric and terrestrial impact. We are developing a proposal
for the
Hera mission, as mission to reconnoiter three asteroids and take
samples
from three locations on each. We are interested in the
asteroid-meteorite
connection and all this has to imply for the origin and evolution
of the
solar system and the relationship between our Sun and other
stars. In these
connections, we have performed experiments with simulated
regolith and dust
on NASA microgravity facility (the KC-135), which should also
provide
insights into mission operations in low gravity, regolith, and
dust.
The Microgravity experiments
The aircraft lies about forty parabolas in a 2.5-hour flight in
groups of 10
separated by 10 minutes of flat flight. Each parabola is about 2
minutes
duration and can be considered as having four phases, positive
gravity
(during climb), negative gravity (when objects in the plane
continue to
climb when the plane reaches the top of the parabola),
microgravity (as the
plane descends at almost free-fall) and recovery (as the plane
comes out of
descent). The duration of microgravity is about 25 seconds. We
conducted
experiments during three campaigns, flying twice in each
campaign, for a
total of 240 parabolas. During the first campaign, 317 one-inch
Plexiglas
tubes filled with various sand and iron mixtures were flown.
Separation of
iron and sand was determined from image analysis of photographs
of the tubes
after flight and from the measurements of removed samples. For
the second
campaign, two six-inch diameter Plexiglas cylinders containing
sand iron
mixtures in approximately chondrite grain sizes and proportions
were
observed with digital cameras The separation of iron and sand was
noted and
any structures resembling the ponds on Eros were looked for. The
third
campaign was essentially a test of the Honeybee Robotics
touch-and-go
surface sampler. This device consists of two counter-rotating
cutters that
eject material into a cylindrical container with front doors, to
allow
collection, and a trap door below to allow ejection into the
spacecraft
container. The collector was mounted on a vertical rail inside a
double
walled enclosure and attempts were made to sample four surface
stimulants,
sand, sand and iron mixtures, sand and gravel mixtures and
concrete. It is
particularly helpful to compare the test results in microgravity
with the
results in the laboratory.
Some results
The major result of the three campaigns, in terms of implications
for
mission operations on the surfaces of asteroids and comets were:
· Particle size sorting of the surface material occurs readily.
· Segregations that occurred early in the process are retained
during
considerable amounts of subsequent activity
· It was difficult to "see-through" the periods of
negative g, which are an
artifact of the KC-135 tests and would not be present during
sample
collection on an asteroid. A collector that works well on the
ground worked
far less well under microgravity conditions where movement of the
disturbed
surface in all directions but mostly away from the collector was
a big
problem. Clogging of moving parts in such a dusty environment was
also a
problem.
Lessons for mission operations on asteroids
· Limitations of KC-135 tests. In our experiment in the plane,
it has been
difficult to "see through" the negative-g phase, and
attempts to retain the
sample as the plane transitions from positive g to microgravity
were
difficult given the time and physical constraints operative. It
might be
better to use drop towers (although they only provide typically 5
seconds of
microgravity) or the Shuttle (which is expensive).
· Most methods of sample collection will produce segregations in
unconsolidated
surface materials that would seriously degrade the scientific
value of the samples. The
surface will be easily disturbed and material distributed widely.
Segregations produced early in the collection process can be
retained after
fairly large amounts of subsequent mechanical agitation.
Therefore (1) the
collector should disturb the surface as little as possible, (2)
attempts
should be made to collect rocks (or clods) as well as dust and
fine
regolith.
· During the development phase of equipment designed for
operation on an
asteroids or comets, it is probably safe to assume that the
collector will
perform to a much lower efficiency than on Earth, where gravity
retains
material and where we have ample experience. With this in mind,
sample
collectors with the minimum of moving parts and with as much dust
protection
as possible are preferred, and collectors which cover or retain
the surface
materials as they are collected stand the best chance of success
of
recovering the most scientifically valuable samples.
=============
SEISMIC INVESTIGATIONS OF ASTEROID AND COMET INTERIORS
James D. Walker and Walter F. Huebner, Southwest Research
Institute,
SanAntonio,Texas 78228
For a Near Earth Object on a potential collision course with
Earth, any
mitigation technique will require a knowledge of the composition
and
structure of the NEO. In particular, the density, strength, and
cohesiveness
of the NEO, either an asteroid or a comet, will be required.
Quantitative
information about the internal composition and structure of an
asteroid or
comet can be obtained through active seismology. Active
seismology requires
a source of the seismic disturbance and detectors (geophones or
seismometers) to measure the sound waves produced in the asteroid
or comet
body. There are two approaches to producing seismic waves:
explosive charges
and impactors. The active seismology program conducted on the
Apollo 14, 16,
and 17 flights used both. On each of the flights the astronauts
carried
explosives, either to be launched in a grenade launcher or to be
placed by
hand as seismic source. On two of the flights a hand-held thumper
consisting
of exploding bridge wires was also used as a seismic source.
These
experiments allowed a partial determination of the structure of
the lunar
surface in the vicinity of the landing site. Also, information
about the
Moon's structure was gleaned from the seismic traces produced by
the impact
of the LMs and SIVBs. Some of these results will be reviewed.
Next, given a
size of an asteroid or comet and some assumptions about
composition, the
requirements for explosive charge size or impactor momentum in
order to
obtain signals that can be measured by various seismometers will
be discussed.
The size of the charge ties into the coupling between the
explosive and the surface material of the asteroid or comet.
Experiments are
being performed to examine the coupling of small explosive
charges with
relation to depth into the surface. Large increases in efficiency
result.
The corresponding impulse loadings from impacts will be
discussed, including
what size impactors and impact velocities lead to similar seismic
signals.
Information about the required loading on the surface is then
available as
input for mission design, and well as determining seismometer
sensitivity
requirements.
============
POSTER ABSTRACTS
http://www.noao.edu/meetings/mitigation/media/poster_abs.pdf
THE DEEP IMPACT DISCOVERY MISSION
M. F. A'Hearn , L.A. McFadden, C.M. Lisse, D.D. Wellnitz (U.Md),
M.J.S.
Belton, (Belton Space Initiatives), A. Delamere (Ball Aerospace
and
Technologies Corp), K.P. Klaasen (JPL), J.Kissel (MPI), K.J.
Meech
(U.Hawaii), H.J. Melosh (U. Arizona), P.H. Schultz (Brown U.),
J.M. Sunshine
(SAIC), J. Veverka (Cornell U.), and D.K. Yeomans (JPL)
The Deep Impact mission, two spacecraft, a flyby and an impactor,
will
explore beneath the surface of comet 9P/Tempel 1. The impactor
will excavate
a crater. Imagers and a spectrometer observe the collision,
ejecta curtain
and the crater, making a direct comparison of the newly excavated
interior
to that previously emitted into the comet's coma. Launching
together in
January, 2004, for a 1.5 year cruise, encounter and impact will
be July,
2005. Twenty-four hours before, the two spacecraft will separate.
The flyby
spacecraft will be slowed and diverted to miss the comet by 500
km. Closest
approach occurs ~14 minutes post impact. The impactor, a mostly
copper mass
of 370 kg, continues under autonomous guidance to hit the comet
in a sunlit
area. Telescopic observations complement the spacecraft data. The
flyby
includes a medium resolution imager with narrow-band and
medium-band filters
and 10 mrad fov monitoring the comet nucleus at high time
resolution during
and following impact determining fundamental nucleus properties.
The high
resolution imager with medium -band filters, follows crater
formation
(spatial resolution 17 m/pixel at impact and 1.4 m/pixel final
image). The
infrared spectral imaging module will collect spectra between
1-4.8 microns
continuously before, during and after impact comparing
compositions and
looking for spatial variations. The impactor targeting sensor, a
white light
imager collects high speed images until just before impact.
Highest
resolution will be 20-30 cm/pixel. An S-band transmitter sends
the images to
the flyby, then relays them back to Deep Space Network receivers
on Earth.
We will determine the comet's shape, morphology, albedo and
crater density.
We will time and map the crater ejecta curtain and debris to
determine
surface properties (porosity and compressibility) and
gravitational force at
the comet. We will analyze spectral maps for photometric and
compositional
variations both before and after impact. With laboratory
simulations of the
impact we have explored the range of possible crater sizes
(diameter and
depth) and ejecta evolution. If gravity controls crater growth
(strengthless
particulate surface), the crater may be as large as 120m and 25m
deep.
Smaller diameters will occur if the surface is highly
compressible or
exhibits strength. Ball Aerospace designed and is building the
spacecraft
and instruments. Mission design and operations is carried out at
JPL under
its project management.
===========
IMPACT : A SPACE CONTRIBUTION TO MONITORING THE THREAT OF
POTENTIALLY
HAZARDOUS CELESTIAL BODIES
L. Bussolino and R. Somma, Alenia Spazio, Strada Antica di
Collegno 253,
Torino, Italy
IMPACT is the acronym for "International Monitoring Program
for Asteroids
and Comets Threats" coming out as proposal to the Agencies
and Government
institutions from a series of studies funded by the italian
region PIEMONTE
throughout the Civil Protection Bureau, the Italian Space Agency
and the
European Space Agency in different period of time and performed
by the
Planetology Group of the Astronomical Observatory of Torino in
Italy and the
Alenia Spazio, the major Italian aerospace company, for the
engineering
design part. The key point of the study is concerning the best
continuation
till the completion of the activities of discovery as well as the
physical
and mineralogical characterization of the potentially hazardous
celestial
bodies, including a certain families not easy to be seen by the
ground
telescopes: the new outcome is the utilization of satellites in
orbit around
the Earth or in other position, in any case suitable for
discovering objects
type Inner Earth Orbit. The present paper will ponder a synthesis
of the
activities performed during these series of studies where the
space
technology, if conveniently integrated with the Earth networks,
appears to
offer a valuable contribution to the PHA detection and
characterization,
fundamental activities basic for the risks mitigation. An
international
approach is then proposed for monitoring this threat.
================
THE IMPACT IMPERATIVE
Jonathan W. Campbell, NASA/MSFC
The Asteroid and Comet impact problem has been with us for
millions of
years. Only recently however has our awareness expanded to
realize that
there may be a problem. Our collective awareness as a
civilization is now
expanding as we learn more. The critical question that remains to
be
answered is whether our awareness will expand to point that we
will take
action in time.
Given sufficient priority, we now have the technological
capability to begin
building a means for deflecting asteroids and comets. These
include Earth,
LEO, and/or Lunar based laser facilities; transporting the laser
to the
object; and transporting nuclear devices to the object.
All approaches depend on ablative processes to accomplish
deflection. The
laser uses slow ablation to minimize fragmentation and gradually
shape the
orbit. A laser facility has the advantage of being able to
respond quickly
to a sighting. A nuclear approach requires time of transport and
if the
explosion is external to the object use rapid, massive ablation
to change
the orbit. For an explosion inside, the ablation creates gas
pressures that
may fragment the object and if vented properly could create a jet
effect for
orbit shaping. An equally challenging part of this problem is
early warning,
early detection, and continuous tracking. Again, given sufficient
priority,
we have the technological means (radar and ladar) in the near
term to
address this part of the overall problem. It is imperative that
the space
priorities in our National and World community's be realigned to
place
impact mitigation first. Technological roadmaps must be redrawn
orienting us
towards solving this problem first.
===============
PHYSICAL CHARACTERIZATION OF NEOS BY MEANS OF REMOTE OBSERVATIONS
FROM SPACE
A. Cellino (Torino Astronomical Obs.), K. Muinonen (Helsinki
Obs.), E.F.
Tedesco (TerraSystems, Inc.), M. Delbo` (Torino Astronomical
Obs.), S.
Price, M. Egan (Air Force research Lab.), L. Bussolino (Alenia
Aerospazio)
Physical characterization of NEOs is essential for a better
understanding of
the properties and histories of these objects, and to develop
credible
techniques for hazard mitigation. Many of the relevant physical
parameters
describing the internal structures of NEOs can only be accurately
derived
from local "in situ" investigations by space probes.
However, remote sensing
is still very useful to provide valuable information on the
distributions of
important physical parameters such as size, geometric albedo and
spectral
reflectance. Moreover, space-based observations can more readily
detect
objects having orbits that are mostly or totally interior to the
Earth's
orbit. We are currently conducting a study funded by the European
Space
Agency to assess the options and do preliminary design and
performance
trade-off analyses for a dedicated space-based NEO observatory.
Initial
results indicate that observations spanning a wavelength interval
including
the peak thermal emission between 5 and 12 microns, are needed
and suitable
to attain the scientific goals of the mission. Different orbital
options for
the satellite are also being investigated with the leading
candidates being
orbits around the L2 Lagrangian points of either the Earth or
Venus. Both
options present advantages and drawbacks that must be carefully
assessed.
This presentation provides the initial results of the study and a
more
detailed rationale for the options considered.
==============
IMPLICATIONS OF THE NEAR MISSION FOR INTERNAL STRUCTURE
Andrew F. Cheng, The Johns Hopkins Applied Physics Laboratory,
Laurel, MD
20723
On 14 February 2000, the Near Earth Asteroid Rendezvous
spacecraft (NEAR
Shoemaker) began the first orbital study of an asteroid, the
near-Earth object 433 Eros.
Almost a year later, on 12 February 2001, NEAR Shoemaker
completed its mission by
landing on the asteroid and acquiring data from its surface.
Previously, on
June 27 1997, NEAR performed the first flyby of a C-type
asteroid, 253
Mathilde. These two asteroid databases provide a basis for
inferences to be
made regarding physical properties and internal structure
relevant to
mitigation. NEAR Shoemaker's study of Eros found an average
density of 2.67
+/- 0.03, almost uniform within the asteroid. No evidence was
found for
compositional heterogeneity or an intrinsic magnetic field. The
surface is
covered by a regolith estimated at tens of meters thick. A small
center of
mass offset from the center of figure suggests regionally
nonuniform regolith thickness or
internal density variation. Blocks have a non-uniform
distribution
consistent with emplacement of ejecta from the youngest large
crater. Some
topographic features indicate tectonic deformations. Several
regional scale
linear features have related orientations, suggesting a globally
consolidated internal structure. Structural control of crater
shapes hints
that such internal structure is pervasive. Eros is interpreted to
be
extensively fractured but without gross dislocations and/or
rotations - it
was not disrupted and reaccumulated gravitationally. Some
constraints can be
placed on its strength. The consolidated interior must support a
shear
stress at least on the order of a few bars. Crater morphologies
can be
interpreted as suggesting a "strength" near the surface
of a few tens of
kPa.
The Eros flyby of Mathilde revealed a heavily cratered surface
with at least
5 giant craters (close to geometric saturation). Mathilde's
density was
unexpectedly low at 1.3 +/- 0.3, indicating a high porosity. Such
a high
porosity may be consistent with a rubble pile structure. This
high porosity
is key to understanding Mathilde's collisional history, but there
are
structural features, such as a 20-km long scarp, and polygonal
craters
indicating that Mathilde is not completely strengthless. At least
one of its
structural components appears coherent over a few tens of km.
================
IMPACTS FROM POROUS FOAM TARGETS: POSSIBLE IMPLICATIONS FOR THE
DISRUPTION
OF COMET NUCLEI AND LOW-DENSITY ASTEROIDS
Daniel D. Durda (Southwest Research Institute, 1050 Walnut Street
Suite 426,
Boulder CO 80302), George J. Flynn and Tobyn W. VanVeghten
(Department of
Physics, State University of New York Plattsburgh, Plattsburgh,
NY 12901)
Recent observations by the NEAR spacecraft of asteroid 253
Mathilde [1],
determinations of the densities of other C-type main-belt
asteroids
accompanied by bound natural satellites [2], laboratory
measurements of the
porosities of meteorites [3,4], and the bulk densities of
interplanetary
dust particles [5], indicate that many impact targets in the
solar system
are quite porous, having bulk densities significantly lower than
the density
of their constituent minerals. Love et al. [6] have shown that it
requires
significantly more energy to produce craters of the same size in
porous
targets than in non-porous targets. Chapman et al. [7] have
suggested that
the four largest craters on the asteroid Mathilde, which exceed
the
conventionally accepted size limit for crater production without
catastrophic disruption or
"surface resetting", may be explained by shock
dissipation in a porous
target. We performed a series of impact experiments at the NASA
Ames
Vertical Gun Range (AVGR) in October 2001 and May 2002 to examine
the
response of very porous foam targets to various impacts. We
conducted a
total of four shots into two ~10-cm diameter closed-pore
polystyrene
(Styrofoam) spheres and two 22.9x10.5x7.8 cm blocks of
finely-textured,
open-pore foam that is usually used as a rigid mounting base for
floral
arrangements. All impacts were performed with the AVGR impact
chamber
evacuated to a pressure of about 0.5 Torr. For shot 011010, we
suspended an
11.4-cm diameter (30.5 g) Styrofoam sphere, having a bulk density
of ~0.6
gm/cm^3, from the ceiling of the AVGR chamber, and impacted it
with a
1/8-inch aluminum sphere having a speed of 1.92 km/s (powder gun
mode). Such
an impact could simulate the impact of a strong, nickel-iron
projectile into
a very low-density/high-porosity comet or weak, porous asteroid.
We expected
beforehand that the impactor might perhaps simply burrow its way
through the
Styrofoam sphere and emerge out the other side, leaving the
sphere more or
less intact. Instead, the result was a catastrophic disruption,
leaving only
cm-scale shards of debris throughout the impact chamber. For shot
011011, we
cut a 1/4-inch (11.4 mg) spherical projectile from the same
Styrofoam
material as the 8.9-cm diameter (15.5 g) target sphere. The
Styrofoam
projectile was carefully loaded into a plastic sabot and fired in
powder gun
mode at a speed of 1.68 km/s. Somewhat unexpectedly, the
projectile survived
the launching process intact, although it did "pancake"
into a somewhat
lenticular disk during flight. Once again, the resulting impact
was much
more catastrophic than we anticipated, yielding the same, almost
explosive
disruption of the target sphere. The mass distributions of
fragments
resulting from the disruption of the two polystyrene spheres from
shots
011010 and 011011 resemble the power law-like fragment
distributions
commonly observed for disruptive impacts into more conventional
rock or ice
targets. In contrast to the closed-pore foam spheres for shots
011010 and
011011, the targets for shots 020501 and 020502 were open-pore
foam blocks
with dimensions of 22.9x10.5x7.8 cm, having a bulk density of
~0.2 gm/cm^3.
Projectiles were fired at an angle of 45 deg to the normal of the
largest
face. For shot 020501, we impacted the block with a 1/8-inch
aluminum sphere
at a speed of 1.12 km/s (powder gun mode). The projectile
tunneled
essentially unimpeded through the body of the block, leaving no
crater in
the surface and carving a cylindrical path completely through the
block
somewhat larger in diameter than the projectile itself. The entry
hole was
elliptical, measuring ~4x6 mm, and the exit hole was elliptical,
measuring ~7x11 mm.
For shot 020502, we cut a 1/4-inch spherical projectile from the
same foam
material as the target block. The foam projectile was loaded into
a plastic
sabot and fired in powder gun mode. Unfortunately, but not
unexpectedly, the
projectile essentially disintegrated during the firing process,
resulting in
a shower of foam "dust" being launched toward the
target. The surface of the
foam block target displayed minor scattered traces of the
penetration of the
projectile debris, but otherwise yielded no useful cratering or
disruption
data. Levison et al. [8] compared orbital distribution and survey
discovery
models of Oort cloud comets to observations of populations of
dormant comets
and concluded that 99% of new comets evolving inward from the
Oort cloud
must physically disrupt (as did comet C/1999 S4 LINEAR; [9]),
citing buildup
of internal volatile pressure as a possible mechanism. We surmise
that the
closed-pore Styrofoam that we chose as a target material for the
first two
shots prevented the interior of the target spheres from being
fully
evacuated during the pump down of the impact chamber. Thus, an
internal
pressure probably built up, leading to increased surface and
internal
stresses in the target spheres that were released when their
surfaces were
penetrated by the impactors. Although not the simple burrowing or
compression cratering outcomes we were anticipating (as we indeed
observed
in the case of the open-pore floral foam blocks), these results
may
nonetheless bear some relevance to impacts (either rare natural
ones, or
artificial ones arranged by curious humans) onto comet nuclei.
The Giotto
images of Comet Halley and the Deep Space 1 images of Comet
Borrelly both
showed localized jets of gas and dust emission, suggesting that
most of the
surface of each of these comets was protected from sublimation by
a surface
crust impervious to gasses. The relatively collisionally pristine
surfaces
of volatile rich, dynamically young Oort cloud comets,
or surface crusts built up on collisionally and dynamically
evolved Kuiper
belt comets through the sublimation and loss of ices with
retention of
rocky/dusty debris, might allow internal volatile pressure to
build up
within a comet nucleus. Such internal pressures might be released
in a
violent manner during even small impacts, contributing to the
complete
disruption of a comet nucleus.
References
[1] Yeomans, D. K., J.-P. Barriot, D. W. Dunham, R. W. Farquhar,
J. D.
Giorgini, C. E. Helfrich, A. S. Konopliv, J. V. McAdams, J. K.
Miller, W. M.
Owen Jr., D. J. Scheeres, S. P. Synnott, and B. G. Williams 1997.
Science
278, 2106 2109.
[2] Merline, W. J., L. M. Close, C. Dumas, C. R. Chapman, F.
Roddier, F.
Menard, D. C. Slater, G. Duvert, C. Shelton, and T. Morgan 1999.
Nature 401,
565 568.
[3] Consolmagno, G. J., and D. T. Britt 1998. Meteoritics Planet.
Sci. 33,
1231 1240.
[4] Flynn, G. J., L. B. Moore, and W. Klock 1999. Icarus 142, 97
105.
[5] Flynn, G. J. and S. R. Sutton 1993. Lunar Planet. Sci., 21,
541-547.
[6] Love, S. G., F. Horz, and D. E. Brownlee 1993. Icarus 105,
216-224.
[7] Chapman, C., W. Merline, P. Thomas, and the NEAR MSI-NIS Team
1998.
Meteoritics & Planetary Science, 33, A30.
[8] Levison, H. F., A. Morbidelli, L. Dones, R. Jedicke, P. A.
Wiegert, and
W. F. Bottke, Jr. 2002. Science 296, 2212 2215.
[9] Boehnhardt, H. 2001. Science 292, 1307 1309.
===================
A SPACE-BASED VISIBLE/INFRARED SYSTEM FOR THE CHARACTERIZATION
AND DETECTION
OF NEOS
M.P. Egan (AFRL/XP), Y.J. King, P.D. LeVan, B.J. Tomlinson, &
B. Flake
(AFRL/VSSS), & S.D. Price (AFRL/VSB, VSS)
We present the technical capability for a modest sized (third to
half meter)
space-based visible/infrared instrument to accurately determine
the
diameters of NEOs and to augment their discovery by extending the
survey
beyond the limitations of ground-based instruments. Previous
analysis
demonstrated the measurement capabilities for accurate size
determinations
(Price and Egan, 2001) and the detection/discovery efficiencies
of such a
system for objects 200 meter in diameter and larger (Tedesco et
al., 2000).
The Air Force Research Laboratory's research program in
developing
spacecraft/sensor technology in the critical areas of focal plane
arrays,
cryocoolers, on-board signal processing and integrated spacecraft
structures
is key to being able to field a light-weight, cost effective
satellite.
Mid-Infrared focal plane arrays are being developed for space
observation
applications. The mature Si:As FPA technology will be described,
as will be
other innovative technologies for both the infrared and visible
wavelength
regions. Current candidates for low background, Mid-Infrared
applications
require cooling to almost 10 Kelvin. Active low temperature
cryogenic
cooling for Mid-Infrared sensing applications is being
addressed within the Space Vehicles Directorate of the Air Force
Research
Laboratory (Davis et al. 2001, Tomlinson et al. 2001) to address
mid to long
term DoD mission requirements. Ten Kelvin cooling technology will
soon reach
protoflight capability, provides tremendous savings in payload
mass versus
stored cryogen systems, and greatly increases the payload
performance (with
increased cooling load capability) and lifetime (10 years and
longer). Trade
studies will be shown that evaluate the performance versus
maturity levels
of the subsystem technologies.
S.D. Price and M.P. Egan, Infrared Characterization of Near Earth
Objects,
Adv. Space Sci., 28 1117 -1127, 2001. E.F. Tedesco, K. Muinonen
and S.D.
Price, Space-Based Infrared Near-Earth Asteroid Survey
Simulation, Planetary
and Space Science, 48, 801-816, 2000.
T. Davis, B. J. Tomlinson, and J. Ledbetter, Military Space
Cryogenic
Cooling Requirements for the 21st Century, International
Cryocooler
Conference 11, 1-9, 2001.
B. J. Tomlinson, T. Davis, and J. Ledbetter, Advanced Cryogenic
Integration
and-Cooling Technology for Space-Based Long Term Cryogen Storage,
International Cryocooler Conference 11, 749-758, 2001
===============
ASTEROID 1950 DA'S ENCOUNTER WITH EARTH IN A.D. 2880
J.D.Giorgini 1 ,S.J.Ostro 1 , L.A.M.Benner 1 , P.W.Chodas 1 ,
S.R.Chesley 1
, R.S.Hudson 2 , M.C.Nolan 3 , A.R.Klemola 4 , E.M.Standish 1 ,
R.F.Jurgens
1 , R.Rose 1 , D.K.Yeomans 1 and J.-L.Margot 5
1 Jet Propulsion Laboratory
2 Washington State University
3 Arecibo Observatory
4 UCO/Lick Observatory
5 California Institute of Technology
Initial analysis of the numerically integrated, radar- based
orbit of
asteroid (29075)1950 DA indicated a 20- minute interval in March
2880 during
which the 1.1-km object might have an Earth impact probability of
0.33%.
This preliminary value was supported by both linearized
covariance mapping
and Monte Carlo methods. The dynamical models, however, were
limited to
gravitational and relativistic point-mass effects on the asteroid
by the
Sun, planets, Moon, Ceres, Pallas, and Vesta. Subsequent extended
modeling
that included perturbations likely to affect the trajectory over
several
centuries generally implies a lower impact probability, but does
not exclude
the encounter. Covariance based uncertainties remain small until
2880
because of extensive astrometric data (optical measurements
spanning 51
years and radar measurements in 2001), an inclined orbit geometry
that
reduces in-plane perturbations, and an orbit uncertainty space
modulated by
gravitational resonance. This resonance causes the orbit
uncertainty region
to expand and contract along the direction of motion several
times over the
next six centuries rather than increasing secularly on average,
as is
normally the case. As a result, the 1950 DA uncertainty region
remains less
than 20,000 km in total extent until an Earth close-approach in
2641
disrupts the resonance. Thereafter, the same uncertainty region
extends to
18 million km along the direction of motion at the Earth
encounter of 2880.
We examined 11 factors normally neglected in asteroid trajectory
prediction
to more accurately characterize trajectory knowledge. These
factors include
computational noise, Galilean satellite gravity, galactic tides,
Poynting-Robertson drag, major perturbations due to the
gravitational
encounters of the asteroid with thousands of other asteroids, an
oblate Sun
whose mass is decreasing, planetary mass uncertainties,
acceleration due to
solar wind, radiation pressure and the acceleration due to
thermal emission
of absorbed solar energy. Each perturbation principally alters
the
along-track position of 1950 DA, either advancing or delaying
arrival of the
object at the intersection with the orbit of the Earth in 2880.
Thermal
radiation (the Yarkovsky effect) and solar pressure were found to
be the
largest accelerations (and potentially canceling in their
effects, depending
on which of two possible radar-based pole solutions is true),
followed by
planetary mass uncertainty and perturbations from the 64
principle
perturbing asteroids identified from an analysis of several
thousand. The
Earth approach distance uncertainty in 2880 is determined
primarily by
accelerations dependent on currently unknown physical factors
such as the
spin axis, composition, and surface properties of the asteroid,
not
astrometric measurements. This is the first case where risk
assessment is
dependent on the determination of an object's global physical
properties. As
a result of this dependency, no specific impact probability is
quoted here
since the results would vary with our assumptions of the numerous
uncertainties and dynamic models. Within decades, thousands of
asteroids
will have astrometric datasets of quality comparable to 1950 DA's
and
similarly have their long-term collision assessments limited by
physical
knowledge.
1950 DA's trajectory dependence on physical properties also
illustrates the
potential for hazard mitigation through alteration of asteroid
surface
properties in cases where an impact risk is identified centuries
in advance.
Trajectory modification could be performed by collapsing a solar
sail
spacecraft around the target body, or otherwise altering the way
the
asteroid reflects light and radiates heat, thereby allowing
sunlight to
redirect it over hundreds of years.
The next radar opportunity for 1950 DA will be in 2032. The
cumulative
effect of any actual Yarkovsky acceleration since 2001 might be
detected
with radar measure ments obtained then, but this would be more
likely during
radar opportunities in 2074 or 2105. Ground-based photometric
observations
might better determine the pole direction of 1950 DA much sooner.
Reference :
Giorgini,J., et al, Science 296, 132-136 (2002).
http://neo.jpl.nasa.gov/1950da
E-Mail:Jon.Giorgini@jpl.nasa.gov
=============
HOW WELL DO WE UNDERSTAND THE COMETARY HAZARD?
Matthew Knight and Michael A'Hearn, University of Maryland
A preliminary study of comets discovered by amateur astronomers
finds that a
significant fraction should have been found by surveys prior to
their
discovery by amateurs. A sample of 34 comets discovered by
amateurs between
1990 and 1999 contained at least 7 comets which should have been
in the
field of view of at least one of the following surveys prior to
discovery:
the Palomar Digital Sky Survey (DPOSS), the Second Palomar
Observatory Sky
Survey(POSS ii), or the Second Epoch Southern Red Survey (AAOR).
Extension
of this analysis to other available catalogs is expected to
increase the
number of pre-discovery observations. While the preliminary
sample displays
no apparent trends in orbital elements or ecliptic
latitude-longitude, it is
hoped that a larger sample will reveal trends in the
distributions of the
amateur-discovered comets. A better understanding of the
selection effects
which allow amateurs to detect these comets and/or prevent
surveys from
detecting them is critical for the success of future surveys as
well as the
search for potentially hazardous comets and asteroids.
======================
DEFLECTING IMPACTORS AT 90°
Claudio Maccone, Member of the International Academy of
Astronautics
Via Martorelli, 43 - 10155 Torino (TO) - Italy
E-mail: clmaccon@libero.it
In a recent paper (Acta Astronautica, Vol. 50, No. 3, pp.
185-199, 2002)
this author gave a mathematical proof that any impactor could be
hit at an
angle of 90° if hit by a missile shooted not from the Earth, but
rather from
Lagrangian Points L3 or L1 of the Earth-Moon system. Based on
that
mathematical theorem, in this paper the author shows that:
1) This defense system would be ideal to deflect small impactors,
less than
one kilometer in diameter. And small impactors are just the most
difficult
ones to be detected enough in advance and to a sufficient orbital
accuracy
to prove that they are impactors indeed.
2) The deflection is achieved by pure momentum transfer. No
nuclear weapons
in space would be needed. This is because the missiles are
hitting the impactor at the optimum
angle of 90°. A big steel-basket on the missile head would help.
3) In case one missile was not enough to deflect the impactor off
its
Earth-collision hyperbolic trajectory, it is a wonderful
mathematical
property of confocal conics that the new slightly-deflected
impactors
hyperbola can certainly be hit at 90° by another and slightly
more eccentric
ellipse! So, a sufficient number of missiles could be launched in
a sequence
from the Earth-Moon Lagrangian points L3 and L1 with the absolute
certainty
that the SUM of all these small and repeated deflections will
finally throw
the impactor off its collision hyperbola with the Earth.
==============
COMET/ASTEROID PROTECTION SYSTEM (CAPS): A SPACE-BASED SYSTEM
CONCEPT FOR
REVOLUTIONIZING EARTH PROTECTION AND UTILIZATION OF NEOS
Daniel D. Mazanek, NASA Langley Research Center, Hampton,
Virginia USA
There exists an infrequent, but significant hazard to life and
property due
to impacting asteroids and comets. Earth approaching asteroids
and comets
are collectively termed NEOs (near-Earth objects). These
planetary bodies
also represent a significant resource for commercial
exploitation, long-term
sustained space exploration, and scientific research. The goal of
current
search efforts is to catalog and characterize by 2008 the orbits
of 90% of
the estimated 1200 near-Earth asteroids larger than 1 km in
diameter.
Impacts can also occur from short-period comets in asteroid-like
orbits, and
long-period comets which do not regularly enter near-Earth space
since their
orbital periods range from 200-14 million years. There is
currently no
specific search for long-period comets, smaller near-Earth
asteroids, or
smaller short-period comets. These objects represent a threat
with
potentially little or no warning time using conventional
terrestrial-based
telescopes. It is recognized, and appreciated, that the currently
funded
terrestrial-based detection efforts are a vital and logical first
step, and
that focusing on the detection of large asteroids capable of
global
destruction is the best expenditure of limited resources. While
many aspects
of the impact hazard can be addressed using terrestrial-based
telescopes,
the ability to discover and provide coordinated follow-up
observations of
faint and/or small comets and asteroids is tremendously enhanced,
if not
enabled, from space. It is also critical to ascertain, to the
greatest
extent possible, the composition and physical characteristics of
these
objects. A space-based approach can also solve this aspect of the
problem,
both through remote observations and rendezvous missions with the
NEO. A
space-based detection system, despite being more costly and
complex than
Earth-based initiatives, is the most promising way of expanding
the range of
objects that could be detected, and surveying the entire
celestial sky on a
regular basis. Finally, any attempt to deflect an impacting NEO
with any
reasonable lead-time is only likely to be accomplished using a
space-based
system. This poster presentation provides an overview of the
Comet/Asteroid
Protection System (CAPS), and discusses its primary goal of
identifying a
future space-based system concept that provides integrated
detection and protection through permanent, continuous NEO
monitoring, and
rapid, controlled modification of the orbital trajectories of
selected comets and asteroids.
The goal of CAPS is to determine whether it is possible to
identify a "single" lunar based or
orbiting system concept to defend against the entire range of
threatening
objects, with the ability to protect against 1 km class
long-period comets
as the initial focus. CAPS would provide a high probability that
these
objects are detected and their orbits accurately characterized
with
significant warning time, even upon their first observed
near-Earth
approach. The approach being explored for CAPS is to determine if
a system
capable of protecting against long-period comets, placed properly
in
heliocentric space, would also be capable of protecting against
smaller
asteroids and comets capable of regional destruction. The
baseline detection
concept advocates the use of advanced, high-resolution
optical/infrared
telescopes with large, mosaic image plane arrays, coordinated
telescope
control for NEO surveying and tracking, and interferometric
techniques to
obtain precision orbit determination when required. The primary
orbit
modification approach uses a spacecraft that combines a high
energy power
system, high thrust and specific impulse propulsion system for
rapid
rendezvous, and a pulsed laser ablation payload for changing the
target's
orbit. This combination of technologies may offer a future orbit
modification system that could deflect impactors of various
compositions
without landing on the object. The system could also provide an
effective
method for altering the orbits of NEOs for resource utilization,
as well as
the possibility of modifying the orbits of smaller asteroids for
impact
defense. It is likely that any NEO defense system would allow for
multiple
deflection methods. Although laser ablation is proposed as the
primary orbit
modification technique, alternate methods, such as stand-off
nuclear
detonation, could also be part of the same defensive scenario.
Advanced
technologies and innovation in many are as critical in adequately
addressing
the entire impact threat. Highly advanced detectors that have the
ability to
provide the energy and time of arrival of each photon
could replace current semi-conductor detectors in much the same
way as they
replaced photographic plates. It is also important to identify
synergistic technologies that can
be applied across a wide range of future space missions. For
example,
technologies permitting humans to traverse the solar system
rapidly could be
highly compatible with the rapid rendezvous or interception of an
impactor.
Likewise, laser power beaming (visible, microwave, etc.) may be
applicable
for space-based energy transfer for remote power applications, as
well as
NEO orbit modification.
The vision for CAPS is primarily to provide planetary defense,
but also
provide productive science, resource utilization and technology
development
when the system is not needed for diverting threatening comets
and
asteroids. The vision is for a future where asteroids and
cometary bodies
are routinely moved to processing facilities, with a permanent
infrastructure that is capable and prepared to divert those
objects that are
a hazard. There is tremendous benefit in "practicing"
how to move these
objects from a threat mitigation standpoint. Developing the
capability to
alter the orbits of comets and asteroids routinely for
non-defensive
purposes could greatly increase the probability that we can
successfully
divert a future impactor, and make the system economically
viable. It is
likely that the next object to impact the Earth will
be a small near-Earth asteroid or comet. Additionally, a globally
devastating impact with a 1 km class long-period comet will not
be known
decades, or even years, in advance with our current detection
efforts.
Searching for, and protecting ourselves against these types of
impactors is
a worthwhile endeavor. Current terrestrial-based efforts should
be expanded
and a coordinated space-based system should be defined and
implemented. CAPS
is an attempt to begin the definition of that future space-based
system, and
identify the technology development areas that are needed to
enable its
implementation.
================
A REQUIREMENTS AND MISSIONS ROADMAP FOR NON-TERRESTRIAL EMPIRICAL
VERIFICATION OF NEO EFFECTS THRESHOLDS: OBJECTIVES FOR THE
DETERMINATION OF
TRUE LOWER LIMITS ON ATMOSPHERIC PENTRATIONS AND GLOBAL EFFECTS
Drake A. Mitchell, MIT '87, Planetary Defense
Recent computer-based simulations have investigated the
atmospheric penetrations
of Near-Earth Objects (Hills and Goda, 2001[1]), their sub-global
effects (Lewis, 2000
[2]), and the extended cratering process (Kring and Durda, 2001
[3]).
Simulations of global-effects thresholds are expected (Holsapple,
1981 [4],
1993 [5]; Holsapple and Housen, 2002 [6]; Mitchell, 2002 [7]).
In a responsible, robust, and cost-justified campaign to attack
the NEO
problem, such simulations would be verified, e.g. calibrated, by
space-based
empirical investigations in non-terrestrial planetary
environments.
Simulation verification objectives and requirements are proposed
that would
also synergistically verify both the true annualized economic
exposure to
the hazard, and the viability of the many technologies and
methodologies
that have been proposed for NEO hazard mitigation missions but
that have
never been realistically tested or even adequately simulated.
Several classes of space-based platforms are reviewed for NEO
surveillance,
reconnaissance, modification, resource utilization, and
deflection objectives. Mission
optimizations and synergies are identified. It is shown that the
proposed
investigations can be achieved within existing or modified
international
conventions for the peaceful uses of outer space, and within the
economic
parameters justified by a program that would finally pass legal
tests of
negligence, i.e. specific programmatic and budgetary standards,
e.g. $75
billion expended by 2010. Guidelines for such a program are
derived from
analyses of the Manhattan Project under the leadership of Lt.
General L. R.
Groves, and the subsequent development of the United States
Nuclear Navy
under the leadership of Admiral H. G. Rickover.
[1] http://abob.libs.uga.edu/bobk/ccc/cc071702.html
See #7, "[5]"
[2] http://abob.libs.uga.edu/bobk/ccc/cc012602.html
See #4, "[3]"
[3] http://www.lpi.usra.edu/meetings/lpsc2001/pdf/1447.pdf
[4]
http://adsbit.harvard.edu/cgi-bin/nph-iarticle_query?bibcode=1981LPICo.449..
.21H
[5]
http://adsbit.harvard.edu/cgi-bin/nph-iarticle_query?bibcode=1993AREPS..21..
333H
[6] http://www.lpi.usra.edu/meetings/lpsc2002/pdf/1857.pdf
[7] http://abob.libs.uga.edu/bobk/ccc/cc062502.html
See #6, "[17]"
==============
DETERMINING HIGH-ACCURACY POSITIONS OF COMETS AND ASTEROIDS
Alice K B Monet, US Naval Observatory Flagstaff Station
Beginning in 1991 with the Galileo spacecraft encounter with
Gaspra, the
USNO Flagstaff Station has been providing highly-accurate
astrometry of
comets and asteroids to NASA/JPL in support of a variety of
missions and
observing programs. Over the years, no effort has been spared to
attain the
greatest possible accuracy. This has led to improvements in
hardware,
detectors, supporting electronics, observing strategies,
astrometric
analysis, and - perhaps most significantly - in astrometric
reference
catalogues. USNO is proud to have contributed to the many
successful
encounters, flybys, radar ranging experiments, and improved
orbits for
targets of particular interest. While each solar system body
seems to
present its own peculiar observing challenges, we have developed
a certain
level of confidence in our astrometric methods. If an object is
detectable
with our instrumentation, we can accurately determine its
position. In this
report, I will discuss what we have come to regard as the key
elements in a
successful astrometric campaign. These include a wide-field of
view and
target-appropriate centroiding algorithms. Perhaps the most
important is an
accurate, dense, reference catalogue of faint objects. In recent
years, the
Naval Observatory has produced a number of such catalogues - most
notably
the USNO-A2.0 catalogue and the UCAC. The 8-inch FASTT telescope
has also
been used to densify regions of the TYCHO catalogue, for
particular
applications. At the time of this Workshop, new versions or
expansions to
these existing catalogues are under development, and new survey
programs are
being planned which will yield yet-more accurate and dense
reference grids.
All of these factors contribute to improved accuracy for asteroid
and comet
positions. Certainly, the accuracy of the astrometric positions
is one of
the essential ingredients in the effort to identify those comets
and
asteroids which pose a potential threat to our planet.
==============
WARNING THE PUBLIC ABOUT ASTEROID IMPACTS
David Morrison, NASA Astrobiology Institute
Unlike other natural hazards, the impact of an asteroid can (in
principle)
be avoided entirely by deflecting the object while it is still
several years
(and hundreds of millions of kilometers along its orbit) from the
Earth. The
requirement is to predict the potential impact sufficiently far
in advance.
The NASA Spaceguard Report of 1992 articulated the strategy of
carrying out
a comprehensive survey of NEAs, taking advantage of the fact that
impacts
are very rare and that NEAs will typically pass close by Earth
thousands of
times before they hit. Under these circumstances, it is extremely
likely
that any impact will be predicted decades or centuries in advance
(if at
all). The chances of finding a NEA on its final plunge to Earth
are
negligible. This is true whatever the magnitude (size) limit of
the search.
The lead-time for a Tunguska-class impactor (60 m diameter) is no
different
from that of a civilization-threatening impactor (2 km diameter),
once we
have invested in the larger telescopes that are needed to reach
such small
NEAs. The purpose of the Spaceguard Survey is to provide
long-lead warning
of possible impacts. To date, there have been no such confirmed
warnings,
nor was any expected. However, during the past 5 years there has
been
approximately one warning issued in the press per year (e.g.,
1997 XF11,
1999 AN10, 1950 DA, 2002 MN, and 2002 NT7). Of these, only 1950
DA was
legitimate, and the low-probability chance of a collision with
this asteroid
does not materialize for nearly a millennium. The others were all
cases
where a rather poorly defined orbit indicated a possible (but
very
improbable) impact. Additional observations and orbital
calculations
eliminated this low-probability threat within a few days. While
such media
scares may have helped sensitize the public to the impact hazard,
they have
also demeaned the credibility of astronomers in the public eye.
There is the
potential for disutility in such warnings, which undermine
confidence in the
asteroid surveys and distract the public from more important
issues.
Astronomers are learning to play down such false alarms, but most
of us have
concluded that it is undesirable to suppress information and
impossible to control the media.
As survey capabilities improve and we discover more and more of
the NEA
population, we can expect more such media flaps,
unfortunately. There is, however, the legitimate question of a
real
confirmed warning, which could be issued when sufficient data are
accumulated to provide a secure orbit. The most likely such case
will
indicate a significant probability (above 10%) of impact several
decades in
the future, by an object near the lower size limit of the surveys
that are
current at that time. If the object is smaller than 50 m
diameter, there
will be no danger of penetration to the surface or troposphere.
If it is
between 50 and 100 m diameter and is not targeted toward a
densely populated
region, it may be best to begin planning for possible
evacuations. If it is
larger than 100 m, undoubtedly proposals will be made to
intercept and
deflect it. The issue arises of what organization, national or
international, should issue such a confirmed warning. One
proposal is to
assign this responsibility to the U.S. Air Force Space Command,
where a
permanent NEA warning center might be established. The primary
purpose of
this paper is to examine the possible role of such a warning
center. How often will it
be activated? The Earth can expect an impact from a Tunguska-size
asteroid (60 m) about
once per millennium. With present survey telescopes the chances
of predicting such an
impact are very small, but a survey could be constructed that
would operate
even down to such sizes. Meanwhile, the frequency of impact of
the 1-km NEAs
that are the focus of the current Spaceguard Survey is about once
per
million years. Thus today we would anticipate that the warning
center might
issue a confirmed warning of an impact at the 10% probability
level about
once every 100,000 years. If we had a survey that targeted
completion at the
50-m level, such a warning might be issued about once every
50-100 years.
This is the maximum frequency, since impactors smaller than 50 m
dissipate
their energy in the upper atmosphere. This is not very much work
to keep a
permanent center staffed and operational. On the other hand, if
the proposed
center anticipates issuing warnings much more frequently (say
every year,
for example), then it will quickly lose its credibility, since
the vast
majority of such warnings will be false alarms. It is difficult
to envision
how a warning center devoted to the NEA impact hazard can be
justified given
the infrequency of expected impacts or even of credible
possibilities of
impacts. Warning centers make sense for severe storms today, and
they would
also make sense for earthquakes if we knew how to predict them.
But for
events as infrequent as asteroid impacts, this is not a credible
option.
================
IMPACT OF GAIA ON NEAR-EARTH-OBJECT COLLISION PROBABILITY
COMPUTATION
K. Muinonen (Univ. Helsinki Observatory, Finland), J. Virtanen
(Univ.
Helsinki Observatory, Finland), and F. Mignard (Observatoire de
la Cote
d'Azur, France)
We are studying the effects of high-precision astrometric
observations on
the computation of near-Earth object (NEO) orbits and collision
probabilities. In addition to standard astrometry, we are
examining
differential astrometry, that is, either differences of two
positions from
standard astrometry or the actual sky-plane motion. GAIA, the
next
astrometric cornerstone mission of ESA, is due for launch no
later than
2011. The duration of the GAIA survey will be 5 years, the
limiting
magnitude equals V = 20 mag, and full sky will be covered some
dozen times a
year. In particular, GAIA promises to provide an unprecedented
NEO search
across the Milky Way area typically avoided by groundbased
searches. The
extraordinary precision of the astrometry, varying from 10
micro-arcseconds
at V = 15 mag to a few milliarcseconds at V = 20 mag, will have a
major
impact on NEO orbit computation, in particular, on the derivation
of NEO
collision probabilities and the assessment of the collision
hazard. In
addition to standard positional astrometry, GAIA will obtain
differential
astrometric observations: it promises to detect an object's
motion across
the field of view. The accuracy of the GAIA astrometry imposes a
challenge
for orbit computers, as an NEO's size, shape, and surface
properties will
have an effect on the astrometry. This effect will depend on the
NEO
orientation with respect to the Sun-NEO-GAIA plane and, in
particular, on
the solar phase angle (the angle between GAIA and the Sun as seen
from the
NEO). We show tentative simulations about the improvement of NEO
orbits by
the GAIA data. Finally, we show predicted NEO detection
statistics for the
GAIA mission.
================
COMMUNICATING ABOUT COSMIC CATASTROPHES
Brendan M. Mulligan, CIRES, Univ. Colorado (Boulder) and Clark R.
Chapman,
Southwest Research Inst. (Boulder)
The history of the Earth, and all the bodies in the solar system,
has been
marked by cosmic catastrophes of epic proportions: impacts due to
asteroids
and comets. Large-scale impacts have occurred in the past and,
despite a
decline in impact flux, the potential for future impacts
constitutes a
legitimate threat to human civilization. Communicating about the
risk that
near-Earth objects (NEOs) pose to the general public presents a
serious
challenge to the astronomical community. Although the NEO hazard
has a
unique character, comparisons with other natural hazards can
readily be
drawn and lessons can certainly be learned from years of
experience that
other researchers have in risk communication. Just as specialists
dealing
with other hazards have done, the NEO community has addressed the
challenge
of risk communication by developing tools, most notably the
Torino Impact
Hazard Scale, capable of conveying useful information to a
diverse audience.
Numerous researchers and commentators have critiqued the scale,
some
suggesting modifications or proposing particular significant
revisions.
These critiques have dominantly focused on the Scale's perceived
technical
weaknesses, neglecting the central issues concerning its ability
to inform
the public in a satisfactory way. For instance, an issue that has
already
been dealt with in other cases (e.g. the "terrorism
scale" of the U.S. Dept.
of Homeland Security) concerns the degree to which the wording in
the public
scale tells people what they should specifically do in response
to a particular warning
level. The American Red Cross, for example, tabulated different
responses that might be
appropriate for different groups (individuals, families,
neighborhoods,
schools, and businesses) as to how they should respond to a
particular level
of security threat. Similar clarification of the Torino Scale
might be in
order. We hardly expect the public to "carefully
monitor" an NEO predicted
as having a Torino Scale "1" close encounter; those
words were intended for
astronomers. But given recent hype in popular media concerning
2002 NT7,
further clarification for science journalists about appropriate
levels of
response for different interest groups (astronomers, space agency
or
emergency management officials, ordinary citizens) might be
appropriate. The
NT7 hype was further confused by media reference to the event's
numerical
value on another scale (PTS) that is only a year old and is
intended for
technical purposes only. Again, the existence of multiple scales
occurs for
other natural hazards. But, despite internal debates about how to
announce
an earthquake Magnitude and the existence of multiple seismic
scales, the
public has been shielded from such internal, technical dissension
and has
become quite comfortable with Magnitudes, even though the
appellation
"Richter" has officially disappeared. Clearly, the NEO
community's efforts
to help the public place in context any news about possible
future impacts
remain only partially effective; NEO impact predictions continue
to be met
with confusion, misunderstanding, and sensationalism. The Torino
Scale value
is not the only information about impacts available to the public
and,
indeed, scales of any sort are not the only way to bring some
convergence
into public discussion of particular predictions. Astronomers
have a public
responsibility to develop simple protocols for honestly but
understandably
communicating about the inherently tiny chances of potentially
huge
disasters that characterize the impact hazard. Drawing from
experience with
other scales, we advocate that the IAU and other players and
entities
develop policies grounded in previous experience that can ensure
accuracy,
consistency, and clarity in reports of impact predictions. Only
if we get
our scientific house in order can we demand responsibility on
the part of the science communicators and journalists who
constitute the
next link in the chain of communication.
=================
USING A SOLAR COLLECTOR TO DEFLECT A NEAR EARTH OBJECT
James F. Pawlowski, Human Exploration Science Office, Johnson
Space Center,
Houston, TX.
Of all the various non-nuclear techniques for deflecting a Near
Earth Object
(NEO) on a collision course with Earth, one of the most promising
methods
uses a solar collector. This method was studied by H.J. Melosh et
al* and
uses a solar collector to focus the Sun's rays on the NEO's
surface.
Evaporation by heat creates a thrust which modifies the NEO's
trajectory
over a period of time. Such a technique has an advantage because
it neither
requires stabilizing nor landing on the NEO. As the NEO rotates
under the
illuminated spot, fresh material is brought into the heated area
so
evaporation is continuous. Furthermore it does not, for the most
part,
depend on the composition of the NEO. It can evaporate stony or
icy bodies
but probably not iron NEOs, but these are rare. The steady push
also
minimizes the danger of disrupting the NEO in contrast to a
severe impulse.
There are a number of technical hurdles to overcome in maturing
this
technique, but none seem improbable or any more difficult than
any other
methods.
*Melosh, H. J., Nemchinov, I. V., Zetzer, Y. I. : 1994, Hazards
Due to
Comets and Asteroids, PP. 1119 -1127
==============
NEAR EARTH OBJECT EXPLORER (NEOX): A HIGH PERFORMANCE AND
COST_EFFECTIVE
SPACECRAFT FOR NEO EXPLORATION
Rich Reinert and Richard Dissly, Ball Aerospace &
Technologies Corp.
We present the design and describe the capabilities of a Solar
Electric
Propelled (SEP) microsatellite appropriate for a cost-effective
and
comprehensive program of NEO exploration.
Use of the Xenon-ion SEP approach proven on NASAs DS-1 Mission
provides the
NEOX S/C with 12km/s of Delta-V. Previous mission studies show
that this Delta V will
allow a single NEOX S/C to rendezvous with one to two NEOs when
launched
from an Ariane-5 ASAP, and with three to four NEOs when launched
by a
Delta-II. A spacecraft mass <200kg provided by advanced
technology enables
launch as a secondary payload (e.g., Ariane-5 ASAP) or launch of
multiple
spacecraft from a single dedicated launch vehicle (e.g., 4 from a
Delta II
7925). These low-cost launch options can enhance prospects for
NEO
exploration and characterization, as up to 16 NEOs could
potentially be
characterized using multiple NEOX spacecraft manifested on a
single Delta-II
launch vehicle. An interesting alternative would be to launch one
to four
vehicles annually as secondary payloads on the Ariane-5 LV.
Possibly the
modest cost of these secondary launches could be provided as a
contribution
by ESA in return for carriage of ESA payloads. The NEOX
spacecraft is
designed to support a 20kg science payload drawing 100W average
during SEP
cruise, with >1kW available to instruments during a NEO
orbital phase when
the SEP thrusters are not powered. Rendezvous and NEO orbit will
provide
determination of the target object mass and density, and will
allow for
multiple phase angle imaging. The spacecraft is 3-axis stabilized
with
better-than 1 milliradian pointing accuracy to serve as an
excellent imaging
platform, and the telecommunications system can support a
downlink data rate
of 6.4 kbps at 3 AU earth range. We will present candidate
instrument suites
and further discuss the advanced but proven technologies that
make this
spacecraft design possible.
=================
IMAGING THE INTERIORS OF NEAR-EARTH OBJECTS WITH RADIO REFLECTION
TOMOGRAPHY
Ali Safaeinili and Steven J. Ostro, Jet Propulsion Laboratory
Scenarios for mitigation of asteroid/comet collisions include the
use of
explosives to deflect or destroy the projectile (Ahrens and
Harris 1995).
However, as demonstrated by Asphaug et al. (1998), the outcome of
explosive
energy transfer to an asteroid or comet (via a bomb or a
hypervelocity
impact) is extremely sensitive to the pre-existing configuration
of
fractures and voids. A porous asteroid (or one with deep
regolith)
significantly damps shock wave propagation, sheltering distant
regions from
impact effects while enhancing energy deposition at the impact
point. Parts
of multi-component asteroids are similarly preserved, because
shock waves
cannot bridge inter-lobe discontinuities. Thus our ability to
predict the
effect of detonating a nuclear device at an asteroid or comet
will rest on
what we know about the object's interior. Information about the
interiors of
near-Earth objects is extremely limited. Results from
NEAR-Shoemaker's
year-long rendezvous of Eros (Prockter et al. 2002, Veverka et
al. 2000)
suggest that it is somewhat consolidated, with a pervasive
internal fabric that runs
nearly its entire length and affects some mechanical responses
such as fracture
orientation. However, Eros' detailed internal arrangement of
solid and
porous domains is unknown, and in any case, Eros is not hazardous
and is
orders of magnitude more massive than any potentially hazardous
asteroid.
For much smaller asteroids whose shapes have been reconstructed
from
ground-based radar imaging (e.g., Hudson and Ostro 1995, Hudson
et al. 2000)
and for radar-detected comet nuclei (Harmon et al. 1999), some
interesting
but non-unique constraints on density distribution have resulted.
We would
like to suggest that Radio Reflection Tomographic Imaging (RRTI)
(Safaeinili
et al.) is an optimal technique for direct investigation of the
interior of
a small body by a spacecraft in orbit around it. The RRTI
instrument's
operating frequency is low enough so that its radio signals are
able to
probe the target body's interior. The data obtained by RRTI is
three-dimensional since it consists of wideband echoes collected
on a
surface around the object. This three-dimensional data set can be
operated
on to obtain the three-dimensional spatial spectrum of the
object. The
inversion of the RRTI data can yield the three-dimensional
distribution of
complex dielectric constant, which in turn can reveal the
presence of void
spaces, cracks, and variations in bulk density. The mathematical
basis of
the technique is similar to that of ultrasonic reflection
tomography (Kak
and Slaney 1988) and seismic imaging (Mora 1987). Design of a
spaceborn RRTI
instrument for a small-body rendezvous can be based on the
heritage from
other planetary radar sounders like MARSIS (Picardi et al. 2001)
and radar
sounding experiments used to study glaciers (Gudmandsen, 1971) or
contemplated for searching for a Europa ocean (Johnson et al.
2001).
However, unlike these planetary radar sounding instruments, RRTI
of NEOs
would exploit the spacecraft's access to all sides of the body.
Global views
of the object make it possible to solve for the three-dimensional
dielectric
constant variations within the object down to the size of the
shortest
observing wavelength. RRTI is distinctly different from radio
transmission
tomography techniques (e.g. the CONSERT experiment on Rosetta;
Kofman et al.
1998) whose purpose is not imaging but rather to study material
properties
of radio-transparent comets. RRTI is an imaging technique that
uses a
co-located transmitter and receiver, and therefore does not
require that the
illuminating signal pass entirely through the target. Therefore,
an RRTI
system can be used to image the interiors of both comets and
asteroids
throughout the volume penetrated by the radar echoes. The
volumetric
dielectric properties of the asteroid or comet can be
reconstructed using
least-squares inversion (e.g., a conjugate gradient search;
Safaeinili and
Roberts 1995, Lin and Chew 1996) driven by the observed
difference between
model-predicted radio echoes and the measured radio signals. A 24
computationally less intensive and reasonably accurate inversion
is possible
with the Born approximation, which ignores multiple reflection
within the
target and linearizes the dependence of the scattered field on
dielectric
variations. See our poster for examples of simulated RRT images
of the
interiors of very simple models.
References
1. Ahrens, T. J., and A. W. Harris (1995). Deflection and
fragmentation of
near Earth asteroids. In Hazards Due to Comets and Asteroids (T.
Gehrels,
ed.), Univ. of Arizona, pp. 897-927.
2. Asphaug, E., S. J. Ostro, R. S. Hudson, D. J. Scheeres, and W.
Benz
(1998). Disruption of kilometer- sized asteroids by energetic
collisions.
Nature 393, 437-440.
3. Gudmandsen, P. (1971). Electromagnetic probing of ice. In
Electromagnetic
Probing in Geophysics, Golem Press, pp. 321-348.
4. Hudson, R. S., and S. J. Ostro (1995). Shape and spin state of
asteroid
4179 Toutatis from radar images. Science 270, 84-86.
5. Hudson, R. S., S. J. Ostro et al. (2000). Radar observations
and physical
modeling of asteroid 6489 Golevka. Icarus 148, 37-51.
6. Harmon, J. K., D. B. Campbell, S. J. Ostro, and M. C. Nolan
(1999). Radar
observations of comets. Planetary and Space Science 47,
1409-1422.
7. Johnson, W.T.K., R.L. Jordan and A. Safaeinili (2001). Europa
Orbiter
Radar Sounder. In Proceedings of Remote Sensing by Low Frequency
Radars
Conference, Naples, Italy.
8. Kak, A.C., and M. Slaney (1988). Principles of Computerized
Tomographic
Imaging, IEEE Press.
9. Kofman, W. et al., (1998). Comet nucleus sounding experiment
by radiowave
transmission. Advances in Space Research 21, 1589-1598.
10. Lin, J.H. and W.C. Chew (1996). Three-dimensional
electromagnetic
inverse scattering by local shape function method with CGFFT. In
Proceedings
of the 1996 AP-S International Symposium & URSI Radio Science
Meeting. Part
3 (of 3), Jul 21-26 1996, Baltimore, MD, pp 2148-2151.
11. Mora, P. (1987). Nonlinear two-dimensional elastic inversion
of
multi-offset seismic data. Geophysics 52, 1211-28.
12. Picardi, G., et al. (2002). The Mars advanced radar for
subsurface and
ionosphere sounding (MARSIS) on board the Mars Express Orbiter,
to be
published in Mars Express Science Summary, ESA.
13. Prockter, L. P. et al. (2002). Surface expressions of
structural
features on Eros. Icarus 155, 75- 93.
14. Safaeinili, A., and R.A. Roberts (1995). Support minimized
inversion of
incomplete acoustic scattering data. J. Acoust. Soc. America 97,
414-424.
15. Veverka, J. et al. (2000). NEAR at Eros: Imaging and spectral
results.
Science 289, 2088-2097.
16. Safaeinili, A., S. Gulkis, M.D. Hofstadter, R.L. Jordan.
Probing the
interior of asteroids and comets using Radio Reflection
Tomography.
Submitted for publication.
==============
INFERRING INTERIOR STRUCTURES OF COMETS AND ASTEROIDS BY REMOTE
OBSERVATIONS
Nalin Samarasinha, National Optical Astronomy Observatory
Detailed determinations of the interior structures of comets and
asteroids require
space missions equipped with suitable instruments. While such
missions are
essential for the furtherance of our knowledge on the interior
structures of comets and
asteroids, cost considerations alone may force such studies to be
focused on a selected set
of targets. Additional useful and complementary information on
the interior
structures can be derived by studying the spin states of
asteroids and spin
states and activity of comets, primarily via groundbased studies.
Structural
information based on rotation depends on (a) fastest spin rates
for an
ensemble of asteroids (or comets) and (b) the damping time scale
for
non-principal axis rotators. I will discuss capabilities and
limitations of
both these procedures for determining structural parameters. In
the case of
comets, activity and associated effects could provide additional
useful
information on the interior structure. I will also discuss how
activity and
splitting events could affect the size distribution of cometary
nuclei and
by extension a significant fraction of NEOs.
===============
EDDY CURRENT FORCE ON METALLIC ASTEROIDS
Duncan Steel, University of Salford, UK
In order to make accurate predictions of the future orbital
evolution of
Earth-approaching asteroids it is necessary to take into account
non-gravitational forces. As Giorgini et al. (Science, 296,
132-136, 2002)
have recently shown, radiation forces depending on the surface
properties of
a specific relatively large asteroid will affect whether it will
impact the
Earth some centuries hence. Since the surface area varies as r^2
the
perturbation varies as 1/r, and so smaller asteroids may be
affected on
shorter time scales. Astronomers studying meteoroids and
interplanetary dust
have studied such radiative perturbations for some decades, and
also
considered the Lorentz and Faraday forces due to interactions
with the
interplanetary magnetic field strength. For objects of asteroidal
size the
perturbations produced are much smaller than the
radiation-induced effects. Another
class of force due to the magnetic field is the eddy current
force that would act on a
metallic asteroid. This depends on the (square of the) gradient
of the interplanetary
magnetic field, which may be substantial at sector boundaries or
in a
turbulent magnetic field. It may thus act only episodically. This
force is
always dissipative, slowing down the object in question. The
important point
about the eddy current force is that it varies as r^3 and so the
perturbation produced will be size/mass independent. On the other
hand,
voids within an asteroid will inhibit the eddy currents and so
limit the
force imposed. Rough calculations of the eddy current force
indicate that it
is much smaller than the radiative forces, but show that the
internal
structure of an asteroid may be significant with
regard to specifying its dynamical evolution.
==============
NEA DEFLECTION: SOMETIMES RESONANT RETURNS ARE OF NOT MUCH HELP
G.B. Valsecchi and A. Carusi, IASF-CNR, via del Fosso del
Cavaliere 100,
00133 Roma, Italy
The Delta V needed to deflect a Near-Earth Asteroid (NEA) in
order to
prevent a collision with the Earth can be significantly lower if
the NEA in
question has a close encounter with our planet before the one in
which the
collision is bound to happen. In fact, Carusi, Valsecchi,
D'Abramo and
Boattini (2002, Icarus, in press) show that, in the hypothetical
case of the
2040 collision of (35396) 1997 XF11, which would be preceded by
an Earth
encounter in 2028 putting the asteroid in a resonant orbit, if
the
deflection takes place a short time before 2028, then Delta V
is about two orders of magnitude smaller than the one needed in
case the
deflection takes place a short time after 2028. The amount of the
Delta V
saving is strictly related to the different mean motion
perturbations
imparted by the 2028 Earth encounter to two fictitious particles
on nearby
trajectories; the difference in mean motion leads to along-track
separation
and this, in turn, leads to different b-plane coordinates in
2040.
Valsecchi, Milani, Gronchi and Chesley (2001, Astron. Astrophys.,
submitted)
give for these quantities analytic expressions that turn out to
be in good
agreement with the numerical integrations in the case of (35396)
1997 XF11.
The formulae show that the ratio between the separation of the
b-plane
coordinates at the second encounter and the separation at the
first
encounter increases essentially linearly with time; however, the
coefficient of the linear increase varies significantly as a
function of
some of the orbital parameters of the asteroid, and can become
very small in
some cases. When this happens, one can a priori expect that a
significantly
reduced Delta V saving would be obtained with a
pre-first-encounter
deflection of a NEA impacting at a resonant return. As a
practical example,
we discuss the case of 1994 GV, a very small (H of approx 27) NEA
that has,
among others, a Virtual Impactor (VI) that, after an encounter
with the
Earth in 2031, hits the Earth at a resonant return in 2048. We
present
numerical integrations showing that, as expected, the Delta V
saving
obtained with a pre-2031 deflection of the 2048 VI associated
with 1994 GV
is more than an order of magnitude smaller than the Delta V
saving obtained
with a pre-2028 deflection of the 2040 VI associated with (35396)
1997 XF11.