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

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

[1] Brouwer D., Clemence G.M. (1961): Methods of celestial mechanics Academic press, New York.
[2] Ishwar, B. and Kushvah, B.S (2006) : linear stability of triangular equilibrium points in the generalized restricted three body problem with Poynting Robertson drag, Journal of Dynamical Systems and Geometric Theories4(1),79-86
[3] Jagadish Singh, Emmanuel A.B.( 2014): Stability of triangular points in the photogravitational CR3BP with Poynting Robertson drag and a smaller triaxial primary. Astrophys. Space Sci. 353, 97-103.
[4] Kushvah, B.S., Sharma, J. P.Ishwar,B.(2007): Non-linear Stability in the Generalized Photogravitational Restricted Three Body Problem with Robertson Drag. Astrophys. Space Sci. 312,279-293.
[5] Murray, C.D. (1994): Dynamical effects of drag in the circular restricted three body problems: 1 .Location and stability of the Lagrangian equilibrium points. Icarus 112.465-484.
[6] Schuerman, D. (1980): The restricted three body problem including radiation pressure. Astrophys. J. (238), 337-342.
[7] Singh, Jagadish and Taura, J.J. (2014): Stability of triangular equilibrium points in the photogravitational restricted three body problems with oblateness and potential from a belt. Journal of Astrophysics and Astronomy 35, 107-119.
[8] Szebehely V. (1967): Theory of orbits, The Restricted Problem of three bodies, Academic Press, New York and London

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