Abstract
This paper studies the orbital stability of the infinitesimal mass in the model of elliptical restricted three body problem, considering the effect of radiation pressure of both the primaries analytically and numerically. The location and stability of collinear points L1, L2 and L3 are studied in detail for different values of radiation pressure and mass ratios. It is found that the locations of collinear points L1, L2 and L3 are affected by mass ratios as well as radiation factor but all the three collinear points discussed are unstable. Furthermore the numerical exploration computing the location and stability of collinear points L1, L2 and L3 are given for varying mass ratios and radiation pressure.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ammar, M.K.: Astrophys. Space Sci. 313, 393–408 (2008)
Bennet, A.: Icarus 4, 177–187 (1965)
Conxita, P.: Celest. Mech. Dyn. Astron. 61, 315–331 (1995)
Danby, J.: Astron. J. 69, 165–172 (1964)
Erdi, B.: Celest. Mech. Dyn. Astron. 104, 145–158 (2009)
Floria, L.: In: Monografsen. Mat. Caracia De Galdeano, vol. 31, pp. 135–144 (2004)
Grebenikov, E.A.: Sov. Astron. 8(3), 451–459 (1964)
Gyorgyey, J.: Celest. Mech. Dyn. Astron. 36(3), 281–285 (1985)
Halan, P.P., Rana, N.: Celest. Mech. Dyn. Astron. 79, 145–155 (2001)
Khasan, S.N.: Cosm. Res. 34(2), 146–151 (1996a)
Khasan, S.N.: Cosm. Res. 34(5), 299–317 (1996b)
Kumar, V., Choudhary, R.K.: Celest. Mech. Dyn. Astron. 48(4), 299–317 (1990)
Kumar, S., Ishwar, B.: AIP Conf. Proc. 1146, 456 (2009)
Kumar, S., Ishwar, B.: Int. J. Eng. Sci. Technol. 3(2), 157–162 (2011)
Kumar, C.R., Narayan, A.: Int. J. Pure Appl. Math. 80(4), 477–494 (2012)
Markeev, A.P.: J. Appl. Math. Mech. 33, 105–110 (1966)
Markeev, A.P.: Astron. Lett. 31(5), 300–356 (2005)
Markellos, V.V., Perdios, E., Labropoulou, P.: Astrophys. Space Sci. 194, 207–213 (1992)
Narayan, A., Singh, N.: Astrophys. Space Sci. 352(1), 57–70 (2014a)
Narayan, A., Singh, N.: Astrophys. Space Sci. (2014b). doi:10.1007/s10509-014-2014-8
Rabe, E.: In: Recent Advances in Dynamical Astronomy, pp. 155–160 (1973)
Radzievskii, V.V.: Akad. Nauk USSR Astron. J. 27, 250 (1950)
Roberts, G.: Differ. Equ. 182, 191–218 (2002)
Sahoo, S.K., Ishwar, B.: Bull. Astron. Soc. India 28, 579–586 (2000)
Şelaru, D., Cucu-Dumitrescu, C.: Rom. Astron. J. 4(1), 57–67 (1994)
Şelaru, D., Cucu-Dumitrescu, C.: Celest. Mech. Dyn. Astron. 61(4), 333–346 (1995)
Singh, J., Umar, A.: Astron. J. 143, 109 (2012a)
Singh, J., Umar, A.: Astrophys. Space Sci. 341, 349 (2012b)
Singh, J., Umar, A.: Adv. Space Res. 52, 1489–1496 (2013)
Szebehely, V.: Theory of Orbits. Academic Press, New York (1967)
Usha, T., Narayan, A., Ishwar, B.: Astrophys. Space Sci. 349, 151–164 (2014)
Zimvoschikov, A.S., Thakai, V.N.: Sol. Syst. Res. 38(2), 155–163 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Narayan, A., Singh, N. Existence and stability of collinear equilibrium points in elliptical restricted three body problem under the radiating primaries. Astrophys Space Sci 354, 355–368 (2014). https://doi.org/10.1007/s10509-014-2094-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-014-2094-5