Effect of perturbed potentials on the non-linear stability of libration point L4 in the restricted problem

Details Effect of perturbed potentials on the non-linear stability of libration point L4 in the restricted problem Effect of perturbed potentials on the non-linear stability of libration point L4 in the restricted problem

Aug 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..59..345b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 59, no. 4, p. 345-374

Astronomy and Astrophysics

Astronomy

9

Celestial Mechanics, Lagrangian Equilibrium Points, Libration, Orbit Perturbation, Orbital Mechanics, Potential Energy, Three Body Problem, Astronomical Models, Hamiltonian Functions, Perturbation Theory, Systems Stability

Scientific paper

The non-linear stability of the libration point L4 in the restricted problem has been studied when three are perturbations in the potentials between the bodies. It is seen that the point L4 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: (i) There are no perturbations in the potentials (classical problem). (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. (iii) Both the primaries are oblate spheroids whose axes of symmetry are perpendicular to the plane of relative motion (circular) of the primaries. (iv) The primaries are spherical in shape and the bigger is a source of radiation.

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