Low-speed impacts between rubble piles modeled as collections of polyhedra, 2

Details Low-speed impacts between rubble piles modeled as collections of polyhedra, 2 Low-speed impacts between rubble piles modeled as collections of polyhedra, 2

Nov 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009icar..204..316k&link_type=abstract

Icarus, Volume 204, Issue 1, p. 316-329.

Astronomy and Astrophysics

Astrophysics

4

Scientific paper

We present the results of additional calculations involving the collisions of km-scale rubble piles. In new work, we used the Open Dynamics Engine (ODE), an open-source library for the simulation of rigid-body dynamics that incorporates a sophisticated collision-detection and resolution routine. We found that using ODE resulted in a speed-up of approximately a factor of 30 compared with previous code. In this paper we report on the results of almost 1200 separate runs, the bulk of which were carried out with 1000-2000 elements. We carried out calculations with three different combinations of the coefficients of friction η and (normal) restitution γ: low (η=0,γ=0.8), medium (η=0,γ=0.5), and high (η=0.5,γ=0.5) dissipation. For target objects of ˜1 km in radius, we found reduced critical disruption energy values QRD∗ in head-on collisions from 2 to 100 J kg-1 depending on dissipation and impactor/target mass ratio. Monodisperse objects disrupted somewhat more easily than power-law objects in general. For oblique collisions of equal-mass objects, mildly off-center collisions (b/b0=0.5) seemed to be as efficient or possibly more efficient at collisional disruption as head-on collisions. More oblique collisions were less efficient and the most oblique collisions we tried (b/b0=0.866) required up to ˜200 J kg-1 for high-dissipation power-law objects. For calculations with smaller numbers of elements (total impactor ni+targetnT=20 or 200 elements) we found that collisions were more efficient for smaller numbers of more massive elements, with QRD∗ values as low as 0.4Jkg-1 for low-dissipation cases. We also analyzed our results in terms of the relations proposed by Stewart and Leinhardt [Stewart, S.T., Leinhardt, Z.M., 2009. Astrophys. J. 691, L133-L137] where m1/(mi+mT)=1-QR/2QRD∗ where QR is the impact kinetic energy per unit total mass mi+mT. Although there is a significant amount of scatter, our results generally bear out the suggested relation.

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