The stability of masses during three-body encounters

Astronomy and Astrophysics – Astronomy

Scientific paper

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Capture Effect, Celestial Mechanics, Dynamic Stability, Orbit Perturbation, Three Body Problem, Artificial Satellites, Astrodynamics, Binary Stars, Black Holes (Astronomy), Neutron Stars, Planets, Solar System, Stellar Mass Accretion

Scientific paper

The dynamical interaction of a binary system and a third body not moving on a closed orbit arises in a large number of physical situations. The C-squared H condition for determining Hill (1978) 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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