Effect of perturbation on the location of libration point in the Robe restricted problem of three bodies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Libration, Perturbation Theory, Three Body Problem, Coriolis Effect, Incompressible Fluids, Lagrangian Equilibrium Points, Mathematical Models, Spherical Shells

Scientific paper

The effect of perturbation in Coriolis and centrifugal forces in the location of the libration point in the Robe restricted problem of three bodies is considered, and attention is focused on a Robe-circular restricted problem of three bodies, when densities are equal. In the problem, one body is a rigid spherical shell filled with a homogeneous incompressible fluid, the second body is a mass point outside the shell, and the third body is a small solid sphere moving inside the shell. An equilibrium point for the system is determined.

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