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Laser Optics & Photonics and Atomic & Plasma Science 2018
J u l y 1 6 - 1 7 , 2 0 1 8
P r a g u e , C z e c h R e p u b l i c
Page 102
American Journal of Computer Science and Information Technology
ISSN: 2349-3917
E u r o S c i C o n J o i n t E v e n t o n
Laser Optics & Photonics and
Atomic & Plasma Science
T
he objective of this paper is to investigate the locations and stability of the collinear points within the framework of the
post-Newtonian approximation by taking into consideration the oblateness of the bigger primary. The numerical results of
this study related to Jupiter-Satellite systems and Saturn-Satellite systems show that the points
L
1
and
L
2
move towards the
smaller primary due to oblateness and relativistic factors while
L
3
moves away from the bigger primary due to oblateness. Also
the locations of these points are drawn versus the mass ratio µ and it is observed that the point L
1
moves away from the smaller
primary for an increasing mass ratio while
L
2
moves towards the bigger primary when the mass ratio increases. The point
L
3
moves away from the bigger primary when the mass ratio increases. It is also noticed that only point
L
2
is significantly affected
by the relativistic effect when varying the mass ratio. The collinear points are found to be unstable due to the presence of positive
real roots.
dadinduniya@gmail.comStability of the collinear points with perturbing
forces in the relativistic restricted three body
problem (R3BP)
Aminu Abubakar Hussain
1
and Nakone Bello
2
1
Ahmadu Bello University, Nigeria
2
Usmanu Danfodiyo University, Nigeria
Am J Compt Sci Inform Technol 2018, Volume 6
DOI: 10.21767/2349-3917-C1-003