Solution of sitnikov restricted four body problem when all the primaries are oblate bodies: circular case. | [Proceedings of Pakistan Academy of Sciences • 2013]

Author(s):

1. Md Sanam Suraj: Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, Sheikh Sarai Phase-II, New Delhi-110017, India

2. M R Hassan: Department of Mathematics, S.M. College Bhagalpur, Bihar-812007, India

Abstract:

In the present paper we have studied the Sitnikov problem when extended to four body problem with all the primaries as oblate bodies. Here all the three primaries are moving in the circular orbit in the xy plane and fourth particle is moving along the z-axis. First we found the condition to maintain the equilateral configuration of the system, then we determined the equation of motion of the system. Using the Floquet theory, we found the Stability region of the motion depending on oblateness parameter.

Page(s): 61-79

DOI: DOI not available

Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 50, Issue: 1, Year: 2013

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