Open AccessStable 1 : 2 Resonant Periodic Orbits in Elliptic Three‐Body Systems
Author(s) -
Nader Haghighipour,
J. Couetdic,
F. Váradi,
W. B. Moore
Publication year - 2003
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/378119
Subject(s) - eccentricity (behavior) , physics , periodic orbits , resonance (particle physics) , massless particle , phase space , mean motion , three body problem , planetary system , planet , celestial mechanics , exoplanet , elliptic orbit , orbital eccentricity , classical mechanics , astrophysics , mathematical physics , political science , law , thermodynamics , particle physics
The results of an extensive numerical study of the periodic orbits of planar,elliptic restricted three-body planetary systems consisting of a star, an innermassive planet and an outer mass-less body in the external 1:2 mean-motionresonance are presented. Using the method of differential continuation, thelocations of the resonant periodic orbits of such systems are identified andthrough an extensive study of their phase-parameter space, it is found that themajority of the resonant periodic orbits are unstable. For certain values ofthe mass and the orbital eccentricity of the inner planet, however, stableperiodic orbits can be found. The applicability of such studies to the 1:2resonance of the extrasolar planetary system GJ876 is also discussed.Comment: 19 pages, 10 figures, 4 color figures, Submitted for publication, For better quality figures send an emai
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