Periodic orbits around the collinear lib eration p oints in the restricted three body problem when the smaller primary is a triaxial rigid body : Sun-Earth case

Sanjay Jain1*, Ajay Kumar 1, K. B. Bhatnagar2
1Guru Premsukh Memorial Col lege of Engineering 245, Budhpur Vil lage G. T. Karnal Road, Delhi 110036, India
2CFRSC, IA/47C, Ashok Vihar, Delhi 110052, India

Abstract. Periodic orbits belonging to the Stromgren families A, B and C around the collinear liberation points in the restricted three body problem have been studied when the smaller primary is a triaxial rigid body by taking different values of semiaxes of the triaxial rigid body. The Liapunov stability of each periodic solution has also been examined.

Keywords: Restricted three-body problem, triaxial rigid body, periodic orbits, Liapunov stability

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