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

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Abstract

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.

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ACKNOWLEDGMENTS

We are thankful to the International Center for Advanced Interdisciplinary Research (ICAIR), New Delhi, India. We are also thankful to the anonymous editor and reviewer who have given us opportunity to improve the paper.

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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  1. Department of Mathematics, Dyal Singh College, University of Delhi, New Delhi, India

    Abdullah

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Abdullah Equilateral Triangular Configuration in the Perturbed Circular Restricted Four-Body Problem with Kerr-like Primaries and Variable Mass Test Particle. Astron. Rep. 67, 998–1007 (2023). https://doi.org/10.1134/S1063772923100013

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