PERTURBED SIX-BODY CONFIGURATION WITH VARIABLE MASS

Six-body configuration is investigated with the effects of oblateness, variable mass as well as Coriolis and centrifugal forces, where four equal bodies are placed at the vertices of a square and fifth body is placed at the center of the circle on which the previous four bodies are moving. All five bodies are considered as oblate in shapes where first four bodies have same oblateness while fifth body has different oblateness. There is the sixth smallest body which varies its mass according to Jeans law. The system is also affected with small perturbations in the Coriolis and centrifugal forces. By considering these effects and using the Jeans law as well as Meshcherskii space time transformations, the system of equations of motion for the smallest body is determined. The Jacobian integral and mean motion are also admitted from this system. Further the equilibrium points, motion for forbidden regions and attracting regions are illustrated under the effects of above said parameters. Here twelve equilibrium points are exists out of which four equilibrium points are collinear, four points are on the perpendicular axis and rest four points are in four quadrants separately. Finally, the stability of these equilibrium points are examined by using Meshcherskii space time inverse transformations and found them unstable.