1. Effects of Viscosity, Oblateness, and Finite Straight Segment on the Stability of the Equilibrium Points in the RR3BP.
- Author
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Kaur, Bhavneet, Kumar, Sumit, and Aggarwal, Rajiv
- Subjects
HYDROSTATIC equilibrium ,VISCOSITY ,SPHEROIDAL state ,EQUILIBRIUM ,FINITE, The ,THREE-body problem ,EQUATIONS of motion - Abstract
Associating the influences of viscosity and oblateness in the finite straight segment model of the Robe's problem, the linear stability of the collinear and non-collinear equilibrium points for a small solid sphere are analyzed. This small solid sphere is moving inside the first primary which is a homogeneous incompressible viscous fluid whose hydrostatic equilibrium figure is an oblate spheroid. The second primary is a finite straight segment. The existence of the equilibrium points is discussed after deriving the pertinent equations of motion of the small solid sphere. It is found that viscosity does not affect the location and number of equilibrium points but affects the stability as it converts the marginal stability to asymptotic stability. However, oblateness affects the locations of the equilibrium points. Applicability of the results of this study to an astrophysical problem is discussed, and we have calculated a lower bound on the ratio of the orbital radius and the total mass of the primaries of an astrophysical problem to which the results obtained may be applied. This ratio is called the scaling factor. [ABSTRACT FROM AUTHOR]
- Published
- 2022