Existence and Stability of Non-Collinear Librations Points in the Restricted Problem with Poynting Robertson Light Drag Effect

Mamta Jain; Rajiv Aggarwal

doi:https://doi.org/10.14445/22315373/IJMTT-V19P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 19 | Number 1 | Year 2015 | Article Id. IJMTT-V19P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V19P504

Existence and Stability of Non-Collinear Librations Points in the Restricted Problem with Poynting Robertson Light Drag Effect

Mamta Jain, Rajiv Aggarwal

Citation :

Mamta Jain, Rajiv Aggarwal, "Existence and Stability of Non-Collinear Librations Points in the Restricted Problem with Poynting Robertson Light Drag Effect," International Journal of Mathematics Trends and Technology (IJMTT), vol. 19, no. 1, pp. 20-33, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V19P504

Abstract

This paper deals with the existence and stability of libration points in restricted problem under the effect of dissipative force i.e. Poynting Robertson Light drag. We have determined the equations of motion of infinitesimal mass and investigated the stability of non-collinear libration points in the linear sense and found that there exist only two non-collinear libration points which are unstable for all mass parameter.

Keywords

Restricted three body problem, Dissipative Force, Poynting Robertson light drag, libration points, Linear stability.

References

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