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halo orbits around Sun-Earth L1 in Photogravitational Restricted Three-Body Problem with Oblateness of Smaller Primary

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International Journal of Astronomy and Astrophysics 2016年第3期6卷 293-311页

作者： Prithiviraj Chidambararaj Ram Krishan Sharma Department of Aerospace Engineering Karunya University Coimbatore India

This paper deals with generation of halo orbits in the three-dimensional photogravitational restricted three-body problem, where the more massive primary is considered as the source of radiation and the smaller primary is an oblate spheroid with its equatorial plane coincident with the plane of motion. Both the terms due to oblateness of the smaller primary are considered. Numerical as well as analytical solutions are obtained around the Lagrangian point L1, which lies between the primaries, of the Sun-Earth system. A comparison with the real time flight data of SOHO mission is made. Inclusion of oblateness of the smaller primary can improve the accuracy. Due to the effect of radiation pressure and oblateness, the size and the orbital period of the halo orbit around L1 are found to increase.

关键词： halo orbits Photogravitational Restricted Three-Body Problem Oblateness Lindstedt-Poincaré Method Lagrangian Point SOHO

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Oblateness Effect of Saturn on halo orbits of L1 and L2 in Saturn-Satellites Restricted Three-Body Problem

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International Journal of Astronomy and Astrophysics 2016年第4期6卷 347-377页

作者： Nishanth Pushparaj Ram Krishan Sharma Department of Aerospace Engineering Karunya University Coimbatore India

The Circular Restricted Three-Body Problem (CRTBP) with more massive primary as an oblate spheroid with its equatorial plane coincident with the plane of motion of the primaries is considered to generate the halo orbits around L1 and L2 for the seven satellites (Mimas, Enceladus, Tethys, Dione, Rhea, Titan and Iapetus) of Saturn in the frame work of CRTBP. It is found that the oblateness effect of Saturn on the halo orbits of the satellites closer to Saturn has significant effect compared to the satellites away from it. The halo orbits L1 and L2 are found to move towards Saturn with oblateness.

关键词： Circular Restricted Three-Body Problem Lagrangian Points halo orbits Oblateness Saturn

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