Effect of Perturbations in Coriolis and Centrifugal Forces on the Non-Linear Stability of <i>L</i><sub>4</sub> in the Photogravitational Restricted Three Body Problem
Abstract:Effect of perturbations in Coriolis and centrifugal forces on the non-linear stability of the libration point L 4 in the restricted three body problem is studied when both the primaries are axis symmetric bodies (triaxial rigid bodies) and the bigger primary is a source of radiation. Moser's conditions are utilized in this study by employing the iterative scheme of Henrard for transforming the Hamiltonian to the Birkhoff's normal form with the help of double D'Alembert's series. It is found that L 4 is stable … Show more
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