Specific Energies for the Collisional Dispersion of Gravitational Aggregates

Astronomy and Astrophysics – Astronomy

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Scientific paper

One of the most interesting problems in planetology is the one concerning the internal structure of asteroids and comets. Despite of the available experimental results about the fragmentation of cohesive bodies the size of a soccer ball, and the theoretical and numerical studies extending these results to larger objects, little is known about the response to collisions by objects that formed by the gravitational re-accumulation following shattering events.
We are developing a systematic study of the effects of collisions on rocky and icy gravitational aggregates (GA) between 100 m and 100 km in size, under different conditions (mass and texture of targets and projectiles, impact angle, momentum of collision, rotation of target). The study is based on a numerical model of the N-body problem (PKDGRAV code).
We present our results on the dependence of the threshold specific energy for the dispersion of targets (Q*D) as a function of their mass, obtaining the corresponding scaling law. All GA are made up by the same number of particles. We have chosen 7 different targets, scaling a factor of 3 in mass and we performed a number of head-on collisions on each target mass with different projectile masses. In this way, we are able to relate the impact energy with the fraction of mass reaccumulated after impacts (f_R), and derive the threshold specific energy for dispersion, Q*_D, by interpolating the corresponding fitted linear relationship. As the result of every single collision partly depends on impact location, a number of collisions is performed with a same target and projectile, changing the direction of impact (not the impact angle). We take the average and standard deviation of the corresponding mass fraction of each set of collisions. Finally a power law relationship between Q*_D and size is derived. The main results of this study are presented.

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