The Full Two-Body Problem is concerned with the dynamics of two mutually gravitating, non-spherical mass distributions. This problem can be quite complex, with up to 12 degrees of freedom for the initial system and with strong energy and angular momentum exchange between rotational and translational modes. Despite the complexity of the problem, some recent success has been achieved
in analyzing these systems using classical results from the N-body
gravitational problem. Resulting from this analysis are sharp conditions for the Hill and Lagrange stability of Full Two-Body systems. Some specific examples of these results are shown and their implications for the dynamics and evolution of asteroid binaries and their spin states will be discussed.
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