Mean-motion resonances in satellite-disc interactions
arXiv:astro-ph/0610082 · doi:10.1111/j.1365-2966.2006.11141.x
Abstract
Mean-motion resonances between a Keplerian disc and an orbiting companion are analysed within a Hamiltonian formulation using complex canonical Poincare variables, which are ideally suited to the description of eccentricity and inclination dynamics. Irreversibility is introduced by allowing for dissipation within the disc. A method is given for determining the rates of change of eccentricity and inclination variables of the disc and companion associated with resonances of various orders, including both reversible and irreversible effects, which extend and generalize previous results. Preliminary applications to protoplanetary systems and close binary stars are discussed.
19 pages, 1 figure, to be published in MNRAS, minor corrections
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- On the secular behavior of dust particles in an eccentric protoplanetary disk with an embedded massive gas giant planet
- A Simplified Model for the Secular Dynamics of Eccentric Discs and Applications to Planet-Disc Interactions
- Lindblad resonance torques in relativistic discs: I. Basic equations
- Tidal Instability and Superhump by a Wave-Wave Resonant Model
- Eccentricity Growth of Massive Planets inside Cavities of Protoplanetary Discs
- Journey to the center of the common envelope evolution. Inner dynamics of the post-dynamical inspiral