The Stability of Solutions of Sitnikov Restricted Problem of three Bodies When the Primaries are Triaxial Rigid Bodies

Authors

  • R.R. Thapa Dept. of Mathematics, P.G.Campus, Biratnagar, Morang

DOI:

https://doi.org/10.3126/jist.v19i2.13856

Keywords:

Axis symmetric bodies, equatorial plane, infinitesimal body, Libration points, synodic axes

Abstract

The paper deals with the stability of the solutions of Sitnikov's restricted problem of three bodies if the primaries are triaxial rigid bodies. The infinitesimal mass is moving in space and is being influenced by motion of two primaries (m1>m2). They move in circular orbits without rotation around their centre of mass. Both primaries are considered as axis symmetric bodies with one of the axes as axis of symmetry whose equatorial plane coincides with motion of the plane. The synodic system of co-ordinates initially coincides with inertial system of co-ordinates. It is also supposed that initially the principal axis of the body m1 is parallel to synodic axis and are of the axes of symmetry is perpendicular to plane of motion.

Journal of Institute of Science and Technology, 2014, 19(2): 76-78

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Published

2015-11-09

How to Cite

Thapa, R. (2015). The Stability of Solutions of Sitnikov Restricted Problem of three Bodies When the Primaries are Triaxial Rigid Bodies. Journal of Institute of Science and Technology, 19(2), 76–78. https://doi.org/10.3126/jist.v19i2.13856

Issue

Vol. 19 No. 2 (2014)

Section

Research Articles

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