Re-accumulation Scenarios Governing Final Global Shapes of Rubble-Pile Asteroids

Astronomy and Astrophysics – Astrophysics

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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

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