Generalized hill's problem Lagrangian Hill's case

Astronomy and Astrophysics – Astronomy

Scientific paper

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Hill'S Problem, Lagrangian Points, Binary Asteroid, Poincare'S Section, Stability

Scientific paper

In this paper, we investigate a generalization of the Hill's problem to the case where no restriction is made about the nature of the field of force perturbing two small bodies in gravitational interaction. We apply the general equations obtained to the dynamics of two bodies located in the vicinity of the triangular lagrangian points of the restricted three-body problem.

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