The motion of infinitesimal body in CR4BP with variable masses and Albedo effect

Abstract

This paper presents the effect of Albedo on the behaviour of the fourth body in the CR4BP with the variation of masses of all bodies. By using Meshcherskii transformation, we have determined the equations of motion and found how Jacobi-integral constant varies with time due to variable masses. We have plotted the Lagrangian points, the periodic orbits, Poincaré 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 then, we checked the stability of Lagrangian points at the Albedo effect only and got all the points are unstable.

Keywords

• lagrangian points
• stability
• radiation pressure
• periodic orbits
• poincaré surface of sections
• basins of attraction
• variable masses
• albedo