Combined effects of perturbations, radiation, and oblateness on the nonlinear stability of triangular points in the restricted three-body problem

Abstract

This paper investigates the nonlinear stability of the triangular equilibrium points under the influence of small perturbations in the Coriolis and centrifugal forces together with the effect of oblateness and radiation pressures of the primaries. It is found that the triangular points are stable for all mass ratios in the range of linear stability except for three mass ratios depending upon above perturbations, oblateness coefficients and mass reduction factors.