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Growth of eccentric modes in disc–planet interactions

dc.creatorTeyssandier, Jean Adrien
dc.creatorOgilvie, Gordon Ian
dc.description.abstractWe formulate a set of linear equations that describe the behaviour of small eccentricities in a protoplanetary system consisting of a gaseous disc and a planet. Eccentricity propagates through the disc by means of pressure and self-gravity, and is exchanged with the planet via secular interactions. Excitation and damping of eccentricity can occur through Lindblad and corotation resonances, as well as viscosity. We compute normal modes of the coupled disc–planet system in the case of short-period giant planets orbiting inside an inner cavity, possibly carved by the stellar magnetosphere. Three-dimensional effects allow for a mode to be trapped in the inner parts of the disc. This mode can easily grow within the disc’s lifetime. An eccentric mode dominated by the planet can also grow, although less rapidly. We compute the structure and growth rates of these modes and their dependence on the assumed properties of the disc.
dc.publisherOxford University Press
dc.publisherMonthly Notices of the Royal Astronomical Society
dc.subjectcelestial mechanics
dc.subjectaccretion, accretion discs
dc.subjectplanet-disc interactions
dc.subjectplanetary systems: protoplanetary discs
dc.titleGrowth of eccentric modes in disc–planet interactions

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