### Variable Mass of a Test Particle in Copenhagen Problem with Manev-Type Potential

#### Abstract

Abstract

This study deals the behavior of the motion of a test particle (third body) in the special case of the circular restricted three-body problem when the mass of the test particle varies according to Jeans law and also considered that the equal mass of the primaries generates the Manev-type potentials. This special case of a restricted problem is known as the Copenhagen problem. We derive the equations of motion of the test particle and then evaluate the Jacobian integral. We investigate numerically the equilibrium points, regions of possible motion and attracting domain. Finally, we examine the stability of the equilibrium points and found that some equilibrium points are stable while rests are unstable.

Keywords: Copenhagen problem, Manev-type potential, variable mass, stability of equilibria

Cite this Article

Abdullah A. Ansari, Sada Nand Prasad,

Mehtab Alam Variable Mass of a Test

Particle in Copenhagen Problem with

Manev Type Potential. Research & Reviews:

Journal of Physics . 2020; 9( 1 7 2 7 p.

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