Abstract
This paper examines the motion of a test particle in the vicinity of the triangular points L 4,5 by considering the more massive primary as a source of radiation in the framework of the relativistic restricted three-body problem (R3BP). It is found that the position and stability of the triangular point are affected by both the relativistic factor and radiation pressure.
Similar content being viewed by others
References
AbdulRaheem, A., Singh, J.: Astron. J. 131, 1880 (2006)
Abd EL-salam, F.A., Abd El-Bar, S.: Appl. Math. 2, 155 (2011)
Bhatnagar, K.B., Hallan, P.P.: Celest. Mech. Dyn. Astron. 69, 271 (1998)
Brumberg, V.A.: Relativistic Celestial Mechanics. Nauka, Moscow (1972)
Brumberg, V.A.: Essential Relativistic Mechanics. Adam Hilger, New York (1991)
Contopoulos, G.: In: Kotsakis, D. (ed.) Memoriam D. Eginitis, p. 159 (1976)
Dankowicz, H.: Celest. Mech. Dyn. Astron. 84, 1 (2002)
Douskos, C.N., Perdios, E.A.: Celest. Mech. Dyn. Astron. 82, 317 (2002)
Khasan, S.N.: Cosm. Res. 34, 504 (1996)
Kumar, S., Ishwar, B.: AIP Conf. Proc. 1146, 115 (2009)
Krefetz, E.: Astron. J. 72, 471 (1967)
Maindl, T.I., Dvorak, R.: Astron. Astrophys. 290, 335 (1994)
Namboodiri, N.I.V., Reddy, D.S., Sharma, R.K.: Astrophys. Space Sci. 318, 161 (2008)
Radzievskii, V.V.: Astron. J. Akad. Nauk USSR 250, 27 (1950)
Ragos, O., Zafiropoulos, F.A.: Astron. Astrophys. 300, 568 (1995)
Ragos, O., Perdios, E.A., Kalantonis, V.S., Vrahatis, M.N.: Nonlinear Anal. 47, 3413 (2001)
Sharma, R.K.: In: Fricke, W., Teleki, G. (eds.) Sun and planetary system, pp. 435–436. Reidel, Dordrecht (1982)
Sharma, R.K.: Astrophys. Space Sci. 135, 271 (1987)
Sharma, R.K., Ishwar, B.: In: Bhatnagar, K., Ishwar, B. (eds.) Proceedings of the Workshop Space Dynamics and Celestial Mechanics, B. RS Bihar University, India, (1995)
Singh, J.: Astrophys. Space Sci. 346, 41 (2013)
Szebehely, V.: Theory of Orbits. The Restricted Problem of Three Bodies. Academic Press, New York (1967)
Zhang, M.J., Zhao, C.Y., Xiong, Y.Q.: Astrophys. Space Sci. 337, 107 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Singh, J., Bello, N. Effect of radiation pressure on the stability of L 4,5 in the relativistic R3BP. Astrophys Space Sci 351, 483–490 (2014). https://doi.org/10.1007/s10509-014-1858-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-014-1858-2