https://doi.org/10.1140/epjp/i2016-16137-0
Regular Article
Binaries application around the collinear equilibrium points in the photogravitational CR3BP with bigger primary oblate
Department of Mathematics, Faculty of Science, Ahmadu Bello University, P.M.B 2222 Sokoto Road, Samaru, Zaria-Nigeria
* e-mail: jgds2004@yahoo.com
Received:
20
November
2015
Revised:
3
March
2016
Accepted:
8
March
2016
Published online:
6
May
2016
This paper studies the collinear equilibrium points of the restricted three-body problem under the effects of the oblateness of the bigger primary and the radiation pressure of the smaller primary. Using a semi-analytical and numerical approach, the positions and linear stability of these points are investigated for the binary systems RXJ 0450.1-5856 and Nova Cen 1969 (Cen X-4), and found to be affected by the oblateness and radiation pressure. The collinear points remain unstable in the sense of Lyapunov.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016