TITLE:
Artificial Equilibrium Points in the Low-Thrust Restricted Three-Body Problem When Both the Primaries Are Oblate Spheroids
AUTHORS:
Amit Mittal, Krishan Pal
KEYWORDS:
Restricted Three-Body Problem, Artificial Equilibrium Points, Low-Thrust, Stability, Oblate Spheroid, Zero Velocity Curves
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.8 No.4,
December
29,
2018
ABSTRACT: This paper studies the existence and stability of the artificial equilibrium points (AEPs) in the low-thrust restricted three-body problem when both the primaries are oblate spheroids. The artificial equilibrium points (AEPs) are generated by canceling the gravitational and centrifugal forces with continuous low-thrust at a non-equilibrium point. Some graphical investigations are shown for the effects of the relative parameters which characterized the locations of the AEPs. Also, the numerical values of AEPs have been calculated. The positions of these AEPs will depend not only also on magnitude and directions of low-thrust acceleration. The linear stability of the AEPs has been investigated. We have determined the stability regions in the xy, xz and yz-planes and studied the effect of oblateness parameters A1(0A1and A2(0A2