Heterogeneous Oblate Primaries in Photo-gravitational CR5BP with Kite Configuration

Authors

  • Abdullah A. Ansari College of Science Al-Zulfi, Majmaah University, KSA
  • Prashant Kumar School of Basic and Applied Sciences, Galgotias University, Greater Noida, U. P., India
  • Mehtab Alam International Center for Advanced Interdisciplinary Research (ICAIR) Ratiya Marg, Sangam Vihar, New Delhi, India 110062

DOI:

https://doi.org/10.3126/jnms.v2i1.33012

Keywords:

Heterogeneous oblate spheroid, CR5BP, Kite configuration, Equilibria, Zero-velocity curves, Stability

Abstract

This paper presents the investigation of the motion of infinitesimal body in the circular restricted five-body problem in which four bodies are taken as heterogeneous oblate spheroid with different densities in three layers and sources of radiation pressure. These four primaries are moving on the circumference of a circle and form a kite configuration. After evaluating the equations of motion and Jacobi-integral, we study the numerical part of the paper such as equilibria, zero-velocity curves and regions of motion. Finally, we examine the stability of the equilibria and observed that all the equilibria are unstable.

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Author Biographies

Abdullah A. Ansari, College of Science Al-Zulfi, Majmaah University, KSA

Department of Mathematics and International Center for Advanced Interdisciplinary Research (ICAIR) Ratiya Marg, Sangam Vihar, New Delhi, India 110062

Prashant Kumar, School of Basic and Applied Sciences, Galgotias University, Greater Noida, U. P., India

Division of Mathematics

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Published

2019-03-31

How to Cite

Ansari, A. A., Kumar, P., & Alam, M. (2019). Heterogeneous Oblate Primaries in Photo-gravitational CR5BP with Kite Configuration. Journal of Nepal Mathematical Society, 2(1), 1–14. https://doi.org/10.3126/jnms.v2i1.33012

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