The main idea of this paper is to study the non-linear stability property of the motion of the test particle which is moving under the influence of heterogeneous primaries having N-layers with different densities as well as varying its mass according to Jeans law. The system is also perturbed by the small perturbations in Coriolis as well as centrifugal forces. We evaluate the equations of motion of the test particle under the influence of the above said perturbations. From this system of equations of motion, we reveal analytically the locations of stationary points as well as the non-linear stability.
Prasad, Sada Nand; Shalini, Kumari; and Ansari, Abdullah A.
(R1513) The Dynamical Study of Variable Mass Test Particle in Nonlinear Sense of Restricted 3-body Problem with Heterogeneous Primaries,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 16,
2, Article 28.
Available at: https://digitalcommons.pvamu.edu/aam/vol16/iss2/28