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Stable 1:2 Resonant Periodic Orbits in Elliptic Three-Body Systems

By SpaceRef Editor
January 21, 2003
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Astrophysics, abstract

From: Nader Haghighipour <[email protected]>
Date: Fri, 17 Jan 2003 19:34:30 GMT (168kb)

Stable 1:2 Resonant Periodic Orbits in Elliptic Three-Body Systems

Nader Haghighipour,
Jocelyn Couetdic,
Ferenc Varadi,
William B. Moore

Comments: 19 pages, 10 figures, 4 color figures, Submitted for publication, For
better quality figures send an email

The results of an extensive numerical study of the periodic orbits of planar,
elliptic restricted three-body planetary systems consisting of a star, an inner
massive planet and an outer mass-less body in the external 1:2 mean-motion
resonance are presented. Using the method of differential continuation, the
locations of the resonant periodic orbits of such systems are identified and
through an extensive study of their phase-parameter space, it is found that the
majority of the resonant periodic orbits are unstable. For certain values of
the mass and the orbital eccentricity of the inner planet, however, stable
periodic orbits can be found. The applicability of such studies to the 1:2
resonance of the extrasolar planetary system GJ876 is also discussed.

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