1. Collinear and out-of-plane equilibrium points in the photo-gravitational ER4BP with oblate primaries.
- Author
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Dewangan, R. R., Chakraborty, A., and Pandey, M. D.
- Subjects
- *
LAGRANGIAN points , *RADIATION pressure , *EQUILIBRIUM , *ORBITS (Astronomy) , *CENTER of mass - Abstract
This paper studies the presence of collinear and out of plane equilibrium points in the elliptic restricted four body problem under the influence of radiation pressure and oblateness effects. It also deals with the linear stability of the equilirium points. We have assumed that three primaries are moving in elliptic orbits around their common center of masses which is assumed to be the origin of the coordinate system. Primaries are positioned at the vertices of an equilateral triangle while the fourth body of the system is assumed to be infinitesimally small in size. It was observed that for this system, we have two collinear and two or four out of plane equilibrium points exists which is depend on true anomaly of the orbit. The position of the out of plane equilibrium points obtained on the x-z plane are found to be in symmetrically aligned with respect to x-y plane. It was observed that both the collinear and out of plane equilibrium points are linearly unstable. The fractal Basin for out of plane equilibrium points were studied. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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