Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7174438 | International Journal of Non-Linear Mechanics | 2018 | 13 Pages |
Abstract
The present manuscript deals with the restricted four-body problem when all the primaries are oblate spheroids. This paper unveils the effect of oblateness on the existence, locations and stability of the libration points. It is assumed that three oblate primaries having equal masses are set in Lagrangian equilateral triangle configuration. It is observed that there exist ten libration points in configuration (x,y)-plane out of which four are collinear and six are non-collinear for oblateness parameter Aâ[0,0.681949). Further, for the oblateness parameter Aâ(0.681949,1), there exist only four libration points out of which two are collinear and two are non-collinear. Out-of-plane libration points are also investigated and it is found that in-plane and out-of-plane libration points are unstable. It is further observed that oblateness parameter has substantial effect on the regions of possible motion. Further, we have numerically investigated the Newton-Raphson basins of convergence associated with the libration points to unveil that how the oblateness parameter influences the domain of convergence.
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Authors
Md Sanam Suraj, Amit Mittal, Monika Arora, Rajiv Aggarwal,