International Journal of Education & Applied Sciences Research
Print ISSN : 2349 –4808
Online ISSN : 2349 –2899
Frequency : Continuous
Current Issue : Volume 2 , Issue 3
2015
M. JAVED IDRISI
Department of Mathematics Al-Falah University, Faridabad (Haryana)−121004, India
Published Online : 2015-03-30
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Abstract
In this paper the existence and stability of non-collinear libration points in the restricted three-body problem has been discussed when the smaller primary is a prolate spheroid. We have determined the equations of motion of the infinitesimal mass and then we have investigated the non-collinear libration points and their stability in linear sense. This is found that there exist two non-collinear libration points are stable for a critical value of mass parameter µ = µc ≤ 0.0559836.
Key Words: Celestial Mechanics, Restricted three-body problem, Prolate Spheroid, Libration points, Linear Stability.
Int. J. of Edu. & App. Sci. Research