IJPAM: Volume 119, No. 1 (2018)

Title

EFFECT OF THE OBLATENESS OF THE INFINITESIMAL
ON EXISTENCE AND STABILITY OF OUT OF PLANE
EQUILIBRIUM POINTS IN SPATIAL ELLIPTIC RESTRICTED
THREE BODY PROBLEM

Authors

A. Narayan$^1$, A. Chakraborty$^2$, A. Dewangan$^3$
$^{1,2,3}$Bhilai Institute of Technology
Durg, C. G., 491001, INDIA

Abstract

In this paper, the existence and stability of the out of plane equilibrium points $L_{6,7}$ is studied analytically and numerically for the elliptical restricted three body problem, where both the primaries and infinitesimal are oblate spheroid. Also the primaries are assumed to be radiating. It was found that the out of plane equilibrium points and its stability are affected by the oblateness of the infinitesimal. We have explored the existence of out of plane equilibrium points around the binary systems: Luyten-726 and Sirius. Also the linear stability of the system is studied analytically and graphically explored.

History

Received: September 4, 2017
Revised: February 20, 2018
Published: June 18, 2018

AMS Classification, Key Words

AMS Subject Classification: 70F07, 70E50
Key Words and Phrases: elliptic restricted three body problem, out of plane equilibrium points, binary systems, oblate spheriod

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How to Cite?

DOI: 10.12732/ijpam.v119i1.13 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 1
Pages: 153 - 166


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