Geometric mechanics and the dynamics of asteroid pairs

Annals of the New York Academy of Sciences
Wang Sang KoonD J Scheeres

Abstract

The purpose of this paper is to describe the general setting for the application of techniques from geometric mechanics and dynamical systems to the problem of asteroid pairs. The paper also gives some preliminary results on transport calculations and the associated problem of calculating binary asteroid escape rates. The dynamics of an asteroid pair, consisting of two irregularly shaped asteroids interacting through their gravitational potential is an example of a full-body problem or FBP in which two or more extended bodies interact. One of the interesting features of the binary asteroid problem is that there is coupling between their translational and rotational degrees of freedom. General FBPs have a wide range of other interesting aspects as well, including the 6-DOF guidance, control, and dynamics of vehicles, the dynamics of interacting or ionizing molecules, the evolution of small body, planetary, or stellar systems, and almost any other problem in which distributed bodies interact with each other or with an external field. This paper focuses on the specific case of asteroid pairs using techniques that are generally applicable to many other FBPs. This particular full two-body problem (F2BP) concerns the dynamical evolut...Continue Reading

References

Jun 24, 2000·Science·W F BottkeB Gladman
Nov 27, 2001·Science·W F BottkeA Morbidelli
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M G Clerc, J E Marsden
Apr 16, 2002·Science·J L MargotD B Campbell
Apr 19, 2002·Nature·Christian VeilletMatthew J Holman
Jul 5, 2002·Physical Review Letters·Charles JafféT Uzer
Jun 29, 2004·Annals of the New York Academy of Sciences·D J Scheeres

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Citations

May 10, 2008·Journal of Interpersonal Violence·Heidi A J La BashDaniel W King

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