Astronomy and Astrophysics – Astrophysics
Scientific paper
May 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009dda....40.0602h&link_type=abstract
American Astronomical Society, DDA meeting #40, #6.02; Bulletin of the American Astronomical Society, Vol. 41, p.899
Astronomy and Astrophysics
Astrophysics
Scientific paper
Asteroids, since the formation of the solar system, are known to have experienced catastrophic collisions, which---depending on the impact energy---can produce a major disruption of the parent body and possibly give birth to asteroid families or binaries [1]. We present a general study of the final shape and dynamical state of asteroids produced by the re-accumulation process following a catastrophic disruption.
Starting from a cloud of massive particles (mono-disperse spheres) with given density and velocity distributions, we analyse the final shape, spin state, and angular momentum of the system from numerical integration of a N-body gravitational system (code pkdgrav [2]). The re-accumulation process itself is relatively fast, with a dynamical time corresponding to the spin-period of the final body (several hours). The final global shapes---which are described as tri-axial ellipsoids---exhibit slopes consistent with a degree of shear stress sustained by interlocking particles.
We point out a few results:
-the final shapes are close to those of hydrostatic equilibrium for incompressible fluids, preferably Maclaurin spheroid rather than Jacobi ellipsoids
-for bodies closest to the sequence of hydrostatic equilibrium, there is a direct relation between spin, density and outer shape, suggesting that the outer surface is nearly equipotential
-the evolution of the shape during the process follows a track along a gradient of potential energy, without necessarily reaching its minimum
-the loose random packing of the particles implies low friction angle and hence fluid-like behaviour, which extends the results of [3].
Future steps of our analysis will include feature refinements of the model initial conditions and re-accumulation process, including impact shakings, realistic velocity distributions, and non equal-sized elementary spheres.
References
[1] Michel P. et al. 2001. Science 294, 1696
[2] Leinhardt Z.M. et al. 2000. Icarus 146, 133
[3] Richardson D.C. et al. 2005. Icarus 173, 349
Cellino Alberto
Comito Carlo
Hestroffer Daniel
Paolicchi Paolo
Richardson Chris D.
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