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Beyond-Newtonian dynamics of a planar circular restricted three-body problem with Kerr-like primaries.

Authors :
De, Shounak
Roychowdhury, Suparna
Banerjee, Roopkatha
Source :
Monthly Notices of the Royal Astronomical Society. Feb2021, Vol. 501 Issue 1, p713-729. 17p.
Publication Year :
2021

Abstract

The dynamics of the planar circular restricted three-body problem with Kerr-like primaries in the context of a beyond-Newtonian approximation is studied. The beyond-Newtonian potential is developed by using the Fodor–Hoenselaers–Perjés procedure. An expansion in the Kerr potential is performed and terms up to the first non-Newtonian contribution of both the mass and spin effects are included. With this potential, a model for a test particle of infinitesimal mass orbiting in the equatorial plane of the two primaries is examined. The introduction of a parameter, ϵ, allows examination of the system as it transitions from the Newtonian to the beyond-Newtonian regime. The evolution and stability of the fixed points of the system as a function of the parameter ϵ is also studied. The dynamics of the particle is studied using the Poincaré map of section and the Maximal Lyapunov Exponent as indicators of chaos. Intermediate values of ϵ seem to be the most chaotic for the two cases of primary mass ratios (=0.001, 0.5) examined. The amount of chaos in the system remains higher than the Newtonian system as well as for the planar circular restricted three-body problem with Schwarzschild-like primaries for all non-zero values of ϵ. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00358711
Volume :
501
Issue :
1
Database :
Academic Search Index
Journal :
Monthly Notices of the Royal Astronomical Society
Publication Type :
Academic Journal
Accession number :
148314381
Full Text :
https://doi.org/10.1093/mnras/staa3733