EFFECT OF ALBEDO ON THE MOTION OF THE INFINITESIMAL BODY IN CIRCULAR RESTRICTED THREE BODY PROBLEM WITH VARIABLE MASSES

Abstract

This paper presents the investigation of the effect of Albedo on the motion of the infinitesimal body in the circular restricted three body problem with the vari-ation of all masses (primaries as well as infinitesimal body) with time.  The radiation pressures fall on the surfaces of the planets, some of radiations are absorbed by them but some radiations are reflected back into the space.  These radiations from the planets to the space are known as Albedo [i.e. Albedo = (radiation reflected back into the space)/(incident radiation)].

The equations of motion have been evaluated by using Meshcherskii transformation and found the expression for the variation of the Jacobi integral constant.  We have drawn the locations of the equilibrium points, the periodic orbits, Poincar´e surface of sections and basins of attraction for four cases (a. Classical Case, b. Variation of mass, c. Solar radiation pressure effect, d. Albedo effect) and also the surfaces of the motion of the infinitesimal body have been drawn with the effect of Albedo only.

Finally, we have examined the stability of the equilibrium points under the effect of Albedo and found that all the equilibrium points are unstable.