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Stability of the Triangular Lagrangian Solutions of the Photo Gravitational Restricted Three-Body Problem in the Three-Dimensional Case

Published online by Cambridge University Press:  12 April 2016

Md. Ghulam Murtuza ,
Vijay Kumar  and
R.K. Choudhry
Md. Ghulam Murtuza
Affiliation:
Research Service Centre, Bhagalpur University
Vijay Kumar
Affiliation:
Dept. of Maths., Bhagalpur University
R.K. Choudhry
Affiliation:
Dept. of Maths., Bhagalpur University

Abstract

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The stability of the triangular Lagrangian solutions for the photo-gravitational restricted three-body problem in the three-dimensional case is investigated for the case when the resonances are absent and also when the resonances are present. Stability is proved for most (in the sense of Lebesgue) initial conditions for all μ < μ0 except for the resonance cases.

Type
Part IV Triple and Many Body Problem
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 291 - 308
Copyright
Copyright © Nova Science Publishers 1993

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