Abstract
The dynamical interactio of a binary system and a third body not moving on a closed orbit arises in a large number of physical situations. The C2H condition for determining Hill stability of coplanar bound three-body systems is extended to cover situations where the outer body moves on a parabolic or hyperbolic orbit. Regions where such a body is stable against exchange or collision with other components of the system are determined for a number of important cases where closed solutions are possible.
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Donnison, J.R. The stability of masses during three-body encounters. Celestial Mechanics 32, 145–162 (1984). https://doi.org/10.1007/BF01231122
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DOI: https://doi.org/10.1007/BF01231122