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Secular Evolution Driven by Massive Eccentric Disks/Rings: An Apsidally Aligned Case

cam.issuedOnline2018-08-30
dc.contributor.authorDavydenkova, I
dc.contributor.authorRafikov, RR
dc.contributor.orcidRafikov, RR [0000-0002-0012-1609]
dc.date.accessioned2018-11-21T00:30:23Z
dc.date.available2018-11-21T00:30:23Z
dc.date.issued2018
dc.description.abstractMassive eccentric disks (gaseous or particulate) orbiting a dominant central mass appear in many astrophysical systems, including planetary rings, protoplanetary and accretion disks in binaries, and nuclear stellar disks around supermassive black holes in galactic centers. We present an analytical framework for treating the nearly Keplerian secular dynamics of test particles driven by the gravity of an eccentric, apsidally aligned, zero-thickness disk with arbitrary surface density and eccentricity profiles. We derive a disturbing function describing the secular evolution of coplanar objects, which is explicitly related (via one-dimensional, convergent integrals) to the disk surface density and eccentricity profiles without using any ad hoc softening of the potential. Our analytical framework is verified via direct orbit integrations, which show it to be accurate in the low-eccentricity limit for a variety of disk models (for disk eccentricity < 0.1-0.2). We find that free precession in the potential of a disk with a smooth surface density distribution can naturally change from prograde to retrograde within the disk. Sharp disk features - edges and gaps - are the locations where this tendency is naturally enhanced, while the precession becomes very fast. Radii where free precession changes sign are the locations where substantial (formally singular) growth of the forced eccentricity of the orbiting objects occurs. Based on our results, we formulate a self-consistent analytical framework for computing an eccentricity profile for an aligned, eccentric disk (with a prescribed surface density profile) capable of precessing as a solid body under its own self-gravity.
dc.identifier.doi10.17863/CAM.32860
dc.identifier.eissn1538-4357
dc.identifier.issn0004-637X
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/285502
dc.language.isoeng
dc.publisherAmerican Astronomical Society
dc.publisher.urlhttp://dx.doi.org/10.3847/1538-4357/aad3ba
dc.subjectaccretion, accretion disks
dc.subjectplanets and satellites: rings
dc.subjectprotoplanetary disks
dc.titleSecular Evolution Driven by Massive Eccentric Disks/Rings: An Apsidally Aligned Case
dc.typeArticle
dcterms.dateAccepted2018-07-12
prism.issueIdentifier1
prism.publicationDate2018
prism.publicationNameAstrophysical Journal
prism.volume864
pubs.funder-project-idScience and Technology Facilities Council (ST/P000673/1)
pubs.funder-project-idScience and Technology Facilities Council (ST/L000636/1)
rioxxterms.licenseref.startdate2018-09-01
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionAM
rioxxterms.versionofrecord10.3847/1538-4357/aad3ba

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