Perturbing and Oblateness's Impact on the Generalized Photogravitational Restricted Three-Body Problem

Mahesh Kumar; Avdhesh Kumar

doi:10.32628/IJSRST2411442

Authors

Mahesh Kumar Research Scholar, Department of Mathematics, Jaglal Chaudhary College, Chapra (A Constituent unit of J.P. University, Chapra), India Author
Avdhesh Kumar Department of Mathematics, Jaglal Chaudhary College, Chapra (A Constituent unit of J.P. University, Chapra), India Author

DOI:

https://doi.org/10.32628/IJSRST2411442

Keywords:

Stability, Libration Points, Oblateness, P -R drag, RTBP

Abstract

In this research work, the effects of perturbing and oblateness on the generalised photogravitational restricted three body problem (RTBP) are examined when the primary are regarded as radiation sources and oblate spheroid. The perturbing forces were included in the equations of motion that we developed for the system. The triangular libration points were derived in terms of the perturbing parameters using linear approximations, and their influence was seen. Applying Murray's criteria, we determined that the triangular libration points remained unstable due to the nature of the characteristics equation matching to the variational equations of motion of the system generated.

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