IJPAM: Volume 80, No. 4 (2012)

EXISTENCE AND STABILITY OF COLLINEAR EQUILIBRIUM
POINTS IN ELLIPTICAL RESTRICTED THREE BODY
PROBLEM UNDER THE EFFECTS OF
PHOTOGRAVITATIONAL AND
OBLATENESS PRIMARIES

C. Ramesh Kumar$^1$, A. Narayan$^2$
$^1$Department of Mathematics
R.C.E.T. Bhilai, 490024 (C.G.), INDIA
$^2$Department of Mathematics
Bhilai Institute of Technology
Durg, 491001 (C.G.), INDIA


Abstract. The effects of the photogravitational and oblateness of the bigger primary and oblateness of the smaller primary to study the existence and stability of collinear equilibrium points in, the planar elliptical restricted three body problem have been discussed. We have analysed and investigated the stability of one of the collinear equilibrium points. The technique adopted in this research paper used Sahoo and Ishwar (see [1]) have been exploited to discuss the stability of one of the collinear equilibrium points. We have also adopted the simulation technique, using MATLAB 6.1 to analyze the stability of the system. We have also traced the different curves of zero velocity.

Received: April 19, 2012

AMS Subject Classification:

Key Words and Phrases: collinear points, elliptical restricted three body problem, stability

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 4