IJPAM: Volume 68, No. 2 (2011)

EFFECTS OF PHOTOGRAVITATIONAL AND OBLANTENSSS
ON THE TRIANGULAR LAGRANGIAN POINTS IN THE
ELLIPTICAL RESTRICTED THREE BODY PROBLEM
A. Narayan$^1$, C. Ramesh Kumar$^2$
$^1$Department of Mathematics
Bhilai Institute of Technology
Durg (C.G.), 491001, INDIA
e-mail: ashu_1959@rediffmail.com
$^2$Department of Mathematics
Rungta College of Engineering and Technology
Bhilai (C.G.), 490001, INDIA
e-mail: cramesh12@redifmail.com

Abstract. The effects of the oblateness and the photogravitational of the bigger primary and the oblateness of the smaller primary on the location and the stability of the triangular Lagrangian equilibrium points in the elliptical restricted three body problem have been studied. We have exploited the method of averaging used by Grebenikov, throughout the analysis of the stability of the equilibrium points. We have developed simulation technique using Matlab 6.1 for analysis the stability of the system. It is also observed that for these points, the range of stability decreases as the oblateness and the radiation pressure parameter increases.

Received: December 13, 2010
AMS Subject Classification: 70F15, 70F07
Key Words and Phrases: photogravitational, elliptical restricted three body problem, stability, Lagrangian points, oblateness


Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 68
Issue: 2