THE YARKOVSKY EFFECT ON THE CIRCULAR RESTRICTED THREE-BODY PROBLEM WITH PERTURBATIONS

The circular restricted three variable body problem with one of the primaries as solar radiation pressure due to which another primary produces the albedo, has been studied. Although, albedo is very small, yet it affects the other celestial bodies. Due to these radiations, the small bodies in space (asteroids and meteoroids) carry some accelerations which are known as Yarkovsky effect. Using the Meshcherskii transformation, we have evaluated the equations of motion with the Yarkovsky effect. Using these equations, we have plotted equilibrium points, Poincare surfaces of section, the surfaces of motion of the infinitesimal body and Newton-Raphson basins of attraction for three values of the Yarkovsky (F-Y = 0.05, 0.1, 0.15). Finally, we have examined the linear stability of the equilibrium points and found that it was not affected by the Yarkovsky effect.