Trajectory and stability of Lagrangian point $L_2$ in the Sun-Earth system
Earth and Planetary Astrophysics
2011-04-07 v1
Abstract
This paper describes design of the trajectory and analysis of the stability of collinear point 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 is asymptotically stable upto a specific value of time 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 .
Keywords
Cite
@article{arxiv.1009.4008,
title = {Trajectory and stability of Lagrangian point $L_2$ in the Sun-Earth system},
author = {Badam Singh Kushvah},
journal= {arXiv preprint arXiv:1009.4008},
year = {2011}
}
Comments
Accepted for publication in Astrophysics & Space Science