Contact Motion on Surface of Asteroid

A comprehensive method for modeling the motion of a spherical pod at the surface of an asteroid is presented. Using triangular faceted surfaces, the largest features of the asteroid (global shape, monoliths, and large boulders) are modeled. The presence of smaller rocks is accounted for using a stochastic model of rock generation and collision. The contact dynamics on regolith or harder surfaces, including multiple contact points situations, are described. The force, torque, and coefficient of rolling resistance are introduced, explained, and estimated. Finally, this model is applied to a hypothetical deployment case on asteroid Itokawa. The numerical simulations show landing time around 5 h, with the main landing basin located in Muses Sea. It also proves the importance of each and every level of detail of the asteroid model for an accurate understanding of asteroid surface motion and the effective design of practical deployment strategies.

[1]  O. Reynolds V. On rolling-friction , 1875, Proceedings of the Royal Society of London.

[2]  Ira Osborn Baker,et al.  A Treatise on Roads and Pavements , 2007, Nature.

[3]  Bill Wilson,et al.  History of Tribology (2nd ed.) , 1998 .

[4]  Thomas C. Halsey,et al.  Gravity-driven dense granular flows , 2000 .

[5]  G. Grest,et al.  Granular flow down an inclined plane: Bagnold scaling and rheology. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Kazuya Yoshida,et al.  Touchdown of the Hayabusa Spacecraft at the Muses Sea on Itokawa , 2006, Science.

[7]  J. Kawaguchi,et al.  The Rubble-Pile Asteroid Itokawa as Observed by Hayabusa , 2006, Science.

[8]  A. Nakamura,et al.  Size-frequency statistics of boulders on global surface of asteroid 25143 Itokawa , 2008 .

[9]  Daniel D. Durda Constraining Source Crater Regions for Boulder Tracks and Elongated Secondary Craters on Eros , 2009 .

[10]  L. Richter,et al.  Baseline design of a Mobile Asteroid Surface Scout (MASCOT) for the Hayabusa-2 mission , 2013 .

[11]  Daniel J. Scheeres,et al.  Explosive Surface Pods for Cratering Experiments on Small Bodies , 2010 .

[12]  D. Scheeres,et al.  SIMULATING ASTEROID RUBBLE PILES WITH A SELF-GRAVITATING SOFT-SPHERE DISTINCT ELEMENT METHOD MODEL , 2011 .

[13]  Distribution of Boulders on Asteroid 25143 Itokawa , 2012 .

[14]  Y. Tsuda,et al.  System design of the Hayabusa 2—Asteroid sample return mission to 1999 JU3 , 2013 .

[15]  Daniel J. Scheeres,et al.  Ballistic Deployment of Science Packages on Binary Asteroids , 2013 .

[16]  Daniel J. Scheeres,et al.  Deployment of a lander on the binary asteroid (175706) 1996 FG3, potential target of the european MarcoPolo-R sample return mission , 2013 .

[17]  O. Barnouin,et al.  Block distributions on Itokawa , 2014 .