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arXiv · 1009.4008

Trajectory and stability of Lagrangian point $L_2$ in the Sun-Earth system

Badam Singh Kushvah
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Abstract

This paper describes design of the trajectory and analysis of the stability of collinear point $L_2$ in the Sun-Earth system. The modified restricted three body problem with additional gravitational potential from the belt is used as the model for the Sun-Earth system. The effect of radiation pressure of the Sun and oblate shape of the Earth are considered. The point $L_2$ is asymptotically stable upto a specific value of time $t$ correspond to each set of values of parameters and initial conditions. The results obtained from this study would be applicable to locate a satellite, a telescope or a space station around the point $L_2$.

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Badam Singh Kushvah. 2010-09-21. Trajectory and stability of Lagrangian point $L_2$ in the Sun-Earth system. https://doi.org/10.1007/s10509-010-0493-9

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