Equilateral Triangular Configuration in the Perturbed Circular Restricted Four-Body Problem with Kerr-like Primaries and Variable Mass Test Particle

• Published in: Astronomy reports Vol. 67; no. 10; pp. 998 - 1007
• Main Author: Abdullah
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-10-2023; Springer Nature B.V
• Subjects: Astronomy; Centrifugal force; Configurations; Equations of motion; Four body problem; Gravitational effects; Jacobi integral; Observations and Techniques; Orbits; Physics; Physics and Astronomy; Surface stability; equilateral triangular configuration; variable mass; stationary points; Kerr-like primaries
• ISSN: 1063-7729; 1562-6881
• DOI: 10.1134/S1063772923100013

The aim of this paper is to study the motion behaviour of the variable mass test particle which is moving under the various perturbation effects such as gravitational forces of the primaries, spin about their axes, the transition from the Newtonian to the beyond-Newtonian regime and also due to the Coriolis as well as centrifugal forces in the equilateral triangular configuration of the circular restricted four-body problem. After determining the equations of motion and quasi-Jacobi integral, we illustrate the locations of stationary points, their stability, Poincaré surfaces of section and periodic orbits.