Abstract
Non-linear stability of the libration point L 4 of the restricted three-body problem is studied when the more massive primary is an oblate spheroid with its equatorial plane coincident with the plane of motion, Moser's conditions are utilised 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 for all mass ratios in the range of linear stability except for the three mass ratios:
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Subba Rao, P.V., Krishan Sharma, R. Effect of oblateness on the non-linear stability of L 4 in the restricted three-body problem. Celestial Mech Dyn Astr 65, 291–312 (1996). https://doi.org/10.1007/BF00053510
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DOI: https://doi.org/10.1007/BF00053510