Eccentricity pumping of a planet on an inclined orbit by a disc

Abstract

In this paper, we show that the eccentricity of a planet on an inclined orbit with respect to a disc can be pumped up to high values by the gravitational potential of the disc, even when the orbit of the planet crosses the disc plane. This process is an extension of the Kozai effect. If the orbit of the planet is well inside the disc inner cavity, the process is formally identical to the classical Kozai effect. If the planet's orbit crosses the disc but most of the disc mass is beyond the orbit, the eccentricity of the planet grows when the initial angle between the orbit and the disc is larger than some critical value which may be significantly smaller than the classical value of 39 degrees. Both the eccentricity and the inclination angle then vary periodically with time. When the period of the oscillations of the eccentricity is smaller than the disc lifetime, the planet may be left on an eccentric orbit as the disc dissipates.

13 pages, 4 figures, accepted for publication in MNRAS

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• Interaction between massive planets on inclined orbits and circumstellar discs
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• Planet-disc evolution and the formation of Kozai-Lidov planets
• Orbital evolution of a planet on an inclined orbit interacting with a disc
• A disk-driven resonance as the origin of high inclinations of close-in planets
• The gravitational interaction between planets on inclined orbits and protoplanetary disks as the origin of primordial spin--orbit misalignments
• A Mechanism of Exciting Planetary Inclination and Eccentricity through a Residual Gas Disk
• Secular transport during disk dispersal: the case of Kepler-419
• An Explanation for Overrepresentation of Tidal Disruption Events in Post-starburst Galaxies
• The effects of disc warping on the inclination of planetary orbits
• Forming Different Planetary Architectures . I . Formation Efficiency of Hot Jupites from High-eccentricity Mechanisms
• The vertical structure of debris discs and the role of disc gravity: A primer using a simplified model
• Self-gravity of debris discs can strongly change the outcomes of interactions with inclined planets
• Orbital Dynamics with the Gravitational Perturbation due to a Disk
• Excitation of post-AGB Star Binary Eccentricity by Massive Polar-Aligned Circumbinary Disks
• Planetary migration in precessing disks for S-type wide binaries