The orbital stability of a test body motion in the field of two massive bodies
2 Physical and Technical Faculty, Al-Farabi Kazakh National University, al’-Farabi avenue, 71, Almaty 050040, Kazakhstan
3 Institute of Gravitation and Cosmology, RUDN University, Miklukho-Maklaya St.,6, Moscow 117198, Russia
Published online: 9 January 2018
We investigate the orbital stability of a test particle motion in the restricted three-body problem where all bodies have their own rotation. We have shown that it is possible to get some insight into the stability properties of the motion of test particles in restricted three-body problem, without knowing the exact solutions of the relativistic motion equations.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).