The generalized Hill problem - Case of an external field of force deriving from a central potential

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitational Fields, Hill Method, Perturbation Theory, Three Body Problem, Equations Of Motion, Equilibrium, Jacobi Integral

Scientific paper

The generalization of Hill's problem is investigated through a central
force field derived from a potential, not restricted to Newton's inverse
square law. The equations of motion are derived, and the equilibrium
positions and their linear stability are determined.

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