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

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...

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Hlavní autoři: Terquem, C, Ajmia, A
Médium: Journal article
Jazyk:English
Vydáno: 2010
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author Terquem, C
Ajmia, A
author_facet Terquem, C
Ajmia, A
author_sort Terquem, C
collection OXFORD
description 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.
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spelling oxford-uuid:e14de780-eb37-4417-8c3d-8a912addaafc2022-03-27T09:53:31ZEccentricity pumping of a planet on an inclined orbit by a discJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e14de780-eb37-4417-8c3d-8a912addaafcEnglishSymplectic Elements at Oxford2010Terquem, CAjmia, AIn 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.
spellingShingle Terquem, C
Ajmia, A
Eccentricity pumping of a planet on an inclined orbit by a disc
title Eccentricity pumping of a planet on an inclined orbit by a disc
title_full Eccentricity pumping of a planet on an inclined orbit by a disc
title_fullStr Eccentricity pumping of a planet on an inclined orbit by a disc
title_full_unstemmed Eccentricity pumping of a planet on an inclined orbit by a disc
title_short Eccentricity pumping of a planet on an inclined orbit by a disc
title_sort eccentricity pumping of a planet on an inclined orbit by a disc
work_keys_str_mv AT terquemc eccentricitypumpingofaplanetonaninclinedorbitbyadisc
AT ajmiaa eccentricitypumpingofaplanetonaninclinedorbitbyadisc