Properties of Motion of the Infinitesimal Variable Mass Body in the Well Known Circular Restricted Three-Body Problem with Newtonian and Yukawa Potential

Authors

Abdullah A. Ansari, International Center for Advanced Interdisciplinary Research (ICAIR), Ratiya Marg, Sangam Vihar, New Delhi, IndiaFollow
Mehtab Alam, International Center for Advanced Interdisciplinary Research (ICAIR), Ratiya Marg, Sangam Vihar, New Delhi, IndiaFollow
Kalu Ram Meena, Department of Mathematics, Acharya Narendra Dev College,University of Delhi, Delhi-110019, IndiaFollow
Ashraf Ali, Faculty of Computer Studies, Arab Open University, Kingdom of BahrainFollow

Author Country (or Countries)

India

Abstract

The effects of Newtonian and Yukawa gravitational potentials are studied on the circular restricted three-body system under the assumption that infinitesimal body varies its mass according to Jeans law. The equations of motion are determined under these perturbations. The numerical studies are conducted where locations of equilibrium points, regions of motion, trajectories with Poincare ́ surfaces of section and the basins of attraction have been investigated by well known software Mathematica. Moreover, the stability of the locations of equilibrium points are determined and it was found that all these points are unstable.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150211

Recommended Citation

A. Ansari, Abdullah; Alam, Mehtab; Ram Meena, Kalu; and Ali, Ashraf (2021) "Properties of Motion of the Infinitesimal Variable Mass Body in the Well Known Circular Restricted Three-Body Problem with Newtonian and Yukawa Potential," Applied Mathematics & Information Sciences: Vol. 15: Iss. 2, Article 11.
DOI: http://dx.doi.org/10.18576/amis/150211
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss2/11