The effect of perturbations in Coriolis and centrifugal forces on the nonlinear stability of equilibrium points in the restricted problem of three bodies

Physics

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Centrifugal Force, Coriolis Effect, Dynamic Stability, Three Body Problem, Euler-Lagrange Equation, Nonlinear Systems, Perturbation Theory

Scientific paper

The non-linear stability of the equilibrium points in the restricted problem has been studied when small perturbations ɛ and ɛ' are given to the Coriolis and the centrifugal forces respectively. It is seen that the collinear points are unstable and the triangular points are stable for all mass ratios in the range of linear stability except for three mass ratios.

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