Computation of halo orbits in the photogravitational Sun-Earth system with oblateness

被引：0
作者：
Rishikesh Dutta Tiwary
Badam Singh Kushvah
机构：
[1] Indian School of Mines,Department of Applied Mathematics
来源：
Astrophysics and Space Science | 2015年 / 357卷
关键词：
Restricted three body problem; Photogravitational; Oblateness; Lissajous orbits; Halo orbits;
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摘要：
In this paper, we extend an existing approach to find the Lissajous and halo orbits around Lagrangian points L1 and L2 in the restricted three body problem with the Sun as a radiating source and the Earth as an oblate spheroid. We analyze the effects of radiation pressure and oblateness on the orbits around Libration points L1 and L2. A first guess of halo orbits is computed using Lindstedt-Poincaré method upto fourth order approximation. Due to the effect of radiation pressure and oblateness the time period increases around L1 and decreases around L2.
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