Stability in the Full Two-Body Problem |
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Authors: | D J Scheeres |
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Institution: | (1) Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI, 48109-2140, U.S.A. |
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Abstract: | Stability conditions are established in the problem of two gravitationally interacting rigid bodies, designated here as the full two-body problem. The stability conditions are derived using basic principles from the N-body problem which can be carried over to the full two-body problem. Sufficient conditions for Hill stability and instability, and for stability against impact are derived. The analysis is applicable to binary small-body systems such as have been found recently for asteroids and Kuiper belt objects. |
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Keywords: | binary asteroids stability N-body problem |
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