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

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

2010-09-21

arxiv.org/abs/1009.4008v1

Astrophysics and Space Science Volume 332, Number 1, 99-106(2011)

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

Accepted for publication in Astrophysics & Space Science

Scientific paper

10.1007/s10509-010-0493-9

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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