Abstract
The non-linear stability of the libration pointL 4 in the restricted problem has been studied when there are perturbations in the potentials between the bodies. It is seen that the pointL 4 is stable for all mass ratios in the range of linear stability except for three mass ratios depending upon the perturbing functions. The theory is applied to the following four cases:
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(i)
There are no perturbations in the potentials (classical problem).
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(ii)
Only the bigger primary is an oblate spheroid whose axis of symmetry is perpendicular to the plane of relative motion (circular) of the primaries.
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(iii)
Both the primaries are oblate spheroids whose axes of symmetry are perpendicular to the plane of relative motion (circular) of the primaries.
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(iv)
The primaries are spherical in shape and the bigger is a source of radiation.
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Bhatnagar, K.B., Gupta, U. & Bhardwaj, R. Effect of perturbed potentials on the non-linear stability of libration pointL 4 in the restricted problem. Celestial Mech Dyn Astr 59, 345–374 (1994). https://doi.org/10.1007/BF00692102
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DOI: https://doi.org/10.1007/BF00692102