Stability in the Full Two-Body Problem

Details Stability in the Full Two-Body Problem Stability in the Full Two-Body Problem

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..83..155s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 83, Issue 1, p. 155-169 (2002).

Astronomy and Astrophysics

Astronomy

19

Binary Asteroids, Stability, N-Body Problem

Scientific paper

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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