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Title:
Tidal evolution of hierarchical and inclined systems
Authors:
Correia, Alexandre C. M.; Laskar, Jacques; Farago, François; Boué, Gwenaël
Affiliation:
AA(Department of Physics, I3N, University of Aveiro, Campus Universitário de Santiago, Aveiro, Portugal), AB(Astronomie et Systèmes Dynamiques, IMCCE-CNRS UMR 8028, Observatoire de Paris, Paris, France), AC(Astronomie et Systèmes Dynamiques, IMCCE-CNRS UMR 8028, Observatoire de Paris, Paris, France), AD(Centro de Astrofísica, University of Porto, Porto, Portugal)
Publication:
Celestial Mechanics and Dynamical Astronomy, Volume 111, Issue 1-2, pp. 105-130 (CeMDA Homepage)
Publication Date:
10/2011
Origin:
SPRINGER
Keywords:
Restricted problems, Extended body, Dissipative forces, Planetary systems, Rotation, HD 11964, HD 80606, HD 98800
Abstract Copyright:
(c) 2011: Springer Science+Business Media B.V.
DOI:
10.1007/s10569-011-9368-9
Bibliographic Code:
2011CeMDA.111..105C

Abstract

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20°). Using the quadrupolar non-restricted approximation for the gravitational interactions and the viscous linear model for tides, we derive the averaged equations of motion in a vectorial formalism which is suitable to model the long-term evolution of a large variety of exoplanetary systems in very eccentric and inclined orbits. In particular, it can be used to derive constraints for stellar spin-orbit misalignment, capture in Cassini states, tidal-Kozai migration, or damping of the mutual inclination. Because our model is valid for the non-restricted problem, it can be used to study systems of identical mass or for the outer restricted problem, such as the evolution of a planet around a binary of stars. Here, we apply our model to various situations in the HD 11964, HD 80606, and HD 98800 systems.
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