Downloads: 108 | Views: 150

Research Paper | Mathematics | India | Volume 6 Issue 4, April 2017

The Triangular Libration Point L4 in the the Restricted Three Body Problem when the Bigger Primary is a Triaxial Rigid Body and Source of Radiation, Perturbation Effects Act in Coriolis and Centrifugal Forces

B. K. Mandal

Abstract: This paper deals with the stationary solutions of the triangular libration point L4 of the planar restricted three body problem when the bigger primary is a triaxial rigid body and source of radiation, perturbation effects act in coriolis and centrifugal forces with one of the axes as the axis of symmetry and its equatorial plane coinciding with the plane of motion. It is seen that there are five libration points two triangular and three collinear. It is further obserbed that the collinear points are unstable, while the triangular points are stable for the mass parameter 0<_crit (the critical mass parameter). It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of.

Keywords: Restricted Three Body Problem Libration Points, Rigid Body, Source of Radiation, Coriolis force, Centrifugal force

Edition: Volume 6 Issue 4, April 2017,

Pages: 1975 - 1977