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Title:
A semi-empirical stability criterion for real planetary systems with eccentric orbits
Authors:
Giuppone, C. A.; Morais, M. H. M.; Correia, A. C. M.
Affiliation:
AA(Departamento de Física, I3N, Universidade de Aveiro, Campus de Santiago, P-3810-193 Aveiro, Portugal; Observatorio Astronómico, IATE, Universidad Nacional de Córdoba, Laprida 854, (X5000BGR) Córdoba, Argentina; ), AB(Departamento de Física, I3N, Universidade de Aveiro, Campus de Santiago, P-3810-193 Aveiro, Portugal), AC(Departamento de Física, I3N, Universidade de Aveiro, Campus de Santiago, P-3810-193 Aveiro, Portugal; ASD, IMCCE-CNRS UMR8028, Observatoire de Paris, UPMC, 77 Av. Denfert-Rochereau, F-75014 Paris, France)
Publication:
Monthly Notices of the Royal Astronomical Society, Volume 436, Issue 4, p.3547-3556 (MNRAS Homepage)
Publication Date:
12/2013
Origin:
OUP
Astronomy Keywords:
methods: analytical, methods: numerical, celestial mechanics, planets and satellites: individual, planetary systems
Abstract Copyright:
2013 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society
DOI:
10.1093/mnras/stt1831
Bibliographic Code:
2013MNRAS.436.3547G

Abstract

We test a crossing orbit stability criterion for eccentric planetary systems, based on Wisdom's criterion of first-order mean motion resonance overlap. We show that this criterion fits the stability regions in real exoplanet systems quite well. In addition, we show that elliptical orbits can remain stable even for regions where the apocentre distance of the inner orbit is larger than the pericentre distance of the outer orbit, as long as the initial orbits are aligned. The analytical expressions provided here can be used to put rapid constraints on the stability zones of multiplanetary systems. As a byproduct of this research, we further show that the amplitude variations of the eccentricity can be used as a fast-computing stability indicator.
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