Influence of Radiation on Liberation Points and on the Stability of Triangular Points in Elliptic Restricted Three-Body Problem

Authors

  • Avaneesh Vaishwar Department of Mathematics, MCAET Akbarpur, Ambedkar Nagar-224122, Uttar Pradesh, India.

DOI:

https://doi.org/10.9734/bpi/ctmcs/v2/7924D

Keywords:

Three-body problem, Liberation points, Linear stability, Zero velocity curve

Abstract

In this work, we analyzed the motion of an infinitesimal mass and considered the Sun-Earth elliptic restricted three-body problem with radiation effect. The semi analytical expressions for the location of collinear points were obtained using the perturbation technique, and the influence of radiation on collinear points were analyzed. The critical mass expressions, which rely on the radiative primary, are used to investigate the stability of triangle points. The Jacobi constant ‘C' was also discovered, as well as Zero Velocity Curves.  

Published

2021-06-12

How to Cite

Avaneesh Vaishwar. (2021). Influence of Radiation on Liberation Points and on the Stability of Triangular Points in Elliptic Restricted Three-Body Problem. Current Topics on Mathematics and Computer Science Vol. 2, 26–38. https://doi.org/10.9734/bpi/ctmcs/v2/7924D