Stability of triangular points in the generalised photogravitational restricted three body problem

Abstract

We study the effect of oblateness and radiation pressure forces of the primaries on the location and the stability of the triagular points in the restricted three body problem. We observe that the equations of motion and locations of the triangular points are affected by the radiation pressure forces and oblateness of the primaries. It is further seen that these points are stable for 0≤µ≤µc, and unstable for µc≤µ≤1/2. It is also seen that for these points the range of stability increases or decreases according as p > or < 0 where p depends upon the radiating and oblateness coefficients.