A. Narayan, C. Ramesh Kumar
Department of Mathematics
Bhilai Institute of Technology
Durg, C.G., INDIA
Department of Mathematics
Rungta College of Engineering and Technology
Bhilai, C.G., INDIA

Abstract. The effects of the photogravitational and oblateness of the bigger primariy and oblateness of smaller primary to study the stability of the triangular equilibrium points in the elliptical restricted three body problem have been discussed. We have exploited an analytical method for determining of characteristic exponent based on the Floquet's theory to the variational equations of motion.The stability of the triangular points under the effects of the photogravitational and oblateness of bigger primary and oblateness of smaller primariy have been studied using simulation technique by drawing transition curves. It is observed that the region within the transition curves, the system are unstable, whereas the region outside these curves are stable.

Received: February 12, 2011

AMS Subject Classification: 70F15, 70F07

Key Words and Phrases: photogravitational, elliptical restricted three body problem, stability, Lagrangian points, oblateness

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