Periodic Orbits of the First Kind in the CR4BP When the Second Primary Is a Triaxial Rigid Body
- 1 Department of Mathematics, S. M. College, T. M. Bhagalpur University, Bhagalpur, India
- 2 T. M. Bhagalpur University, Bhagalpur, India
- 3 GTE, Bangalore, India
Abstract
The present paper deals with the existence of periodic orbits in the Circular Restricted Four-Body Problem (CR4BP) in two-dimensional co-ordinate system when the second primary is a triaxial rigid body and the third primary of inferior mass (in comparison of the other primaries) is placed at triangular libration point L 4 of the Circular Restricted Three-Body Problem (CR3BP). With the help of generating solutions, we formed a basis for the existence of periodic orbits, then an analytical approach given by Hassan et al . [1], was applied to our model of equilateral triangular configuration. It is found that in general solution also; the character of periodic orbits is conserved. For verification of the existence of periodic orbits, we have applied the criterion of Duboshin [2] and found satisfied.
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