Periodic Orbits Generated by Lagrangian Solutions of the Restricted Three Body Problem When Both the Primaries are Triaxial Rigid Bodies Mittal Amit1,*, Ahmad Iqbal1, Bhatnagar K.B.2 1Department of Mathematics, Jamia Millia Islamia, New Delhi - 110 025 2Centre for Fundamental Research, Space Dynamics and Celestial Mechanics, IA-47C, Ashok Vihar - 1, New Delhi - 110 052 *E-mail: to.amitmittal@gmail.com
Online published on 10 August, 2015. Abstract We have studied periodic orbits generated by Lagrangian solutions of the restricted three body problem when both the primaries are triaxial rigid bodies. We have determined periodic orbits for different values of μ, h, A1, A2, A1 and A2 (h is energy constant, μ mass ratio of the two primaries, A1, A2, A1′ and A2′ are parameters of triaxial rigid bodies). These orbits have been determined by giving displacements along the tangent and normal to the mobile co-ordinates as defined by Karimov and Sokolsky [1]. These orbits have been drawn by using the predictor-corrector method. We have also studied the effect of triaxial bodies on the periodic orbits by taking some fixed values of μ. Top Keywords Restricted three-body problem, periodic orbits, triaxial rigid body. Top |