Periodic orbits generated by Lagrangian solutions of the restricted three body problem when one of the primaries is an oblate body |
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| Authors: | Amit Mittal Iqbal Ahmad K B Bhatnagar |
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| Institution: | (1) Department of Mathematics, Jamia Millia Islamia, New Delhi, India;(2) Centre for Fundamental Research in Space Dynamics and Celestial Mechanics, Delhi, India |
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| Abstract: | We have studied periodic orbits generated by Lagrangian solutions of the restricted three body problem when one of the primaries
is an oblate body. We have determined the periodic orbits for different values of μ, h and A (h is energy constant, μ is mass ratio of the two primaries and A is an oblateness factor). These orbits have been determined by giving displacements along the tangent and normal to the mobile
coordinates as defined by Karimov and Sokolsky (Celest. Mech. 46:335, 1989). These orbits have been drawn by using the predictor-corrector method. We have also studied the effect of oblateness by
taking some fixed values of μ, A and h. As starters for our method, we use some known periodic orbits in the classical restricted three body problem. |
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| Keywords: | Restricted three-body problem Periodic orbits Oblate body |
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