Halo orbit of regularized circular restricted three-body problem with radiation pressure and oblateness |
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Authors: | Vineet K Srivastava Jai Kumar Padmdeo Mishra Badam Singh Kushvah |
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Institution: | 1.Flight Dynamics Group,ISRO Telemetry Tracking and Command Network,Bangalore,India;2.Signal and Image Processing Group,Space Applications Centre,Ahmedabad,India;3.Department of Applied Mathematics,Indian Institute of Technology (Indian School of Mines),Dhanbad,India |
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Abstract: | In this paper, computation of the halo orbit for the KS-regularized photogravitational circular restricted three-body problem is carried out. This work extends the idea of Srivastava et al. (Astrophys. Space Sci. 362: 49, 2017) which only concentrated on the (i) regularization of the 3D-governing equations of motion, and (ii) validation of the modeling for small out-of-plane amplitude (\(A_z =110000\) km) assuming the third-order analytical approximation as an initial guess with and without differential correction. This motivated us to compute the halo orbits for the large out-of-plane amplitudes and to study their stability analysis for the regularized motion. The stability indices are described as a function of out-of-plane amplitude, mass reduction factor and oblateness coefficient. Three different Sun–planet systems: the Sun–Earth, Sun–Mars and the Sun–Jupiter are chosen in this study. Stable halo orbits do not exist around the \(L_{1}\) point, however, around the \(L_{2}\) point stable halo orbits are found for the considered systems. |
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