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A numerical study of fourth- and fifth-order retrograde mean motion resonances in planetary systems

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Author(s):
Signor, Alan Cefali ; Carita, Gabriel Antonio ; Morais, Maria Helena Moreira
Total Authors: 3
Document type: Journal article
Source: Monthly Notices of the Royal Astronomical Society; v. 520, n. 3, p. 19-pg., 2023-02-15.
Abstract

We present a numerical study on the stability of all fourth- and fifth-order retrograde mean motion resonances (1/3, 3/1, 1/4, 4/1, 2/3, and 3/2) in the 3-body problem composed of a solar mass star, a Jupiter mass planet, and an additional body with zero mass (elliptic restricted problem) or masses corresponding to either Neptune, Saturn, or Jupiter (planetary problem). The fixed point families exist in all cases and are identified through libration of all resonant angles simultaneously. In addition, configurations with libration of a single resonant angle were also observed. Our results for the elliptic restricted 3-body problem are in agreement with previous studies of retrograde periodic orbits, but we also observe new families not previously reported. Our results regarding stable resonant retrograde configurations in the planetary 3-body problem could be applicable to extra-Solar systems. (AU)

FAPESP's process: 21/11982-5 - Retrograde configurations in extrasolar systems
Grantee:Alan Cefali Signor
Support Opportunities: Scholarships in Brazil - Master
FAPESP's process: 22/08716-4 - Dynamics of polar and retrograde orbits
Grantee:Maria Helena Moreira Morais
Support Opportunities: Regular Research Grants