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dc.contributor.authorKong, Dali
dc.contributor.authorZhang, Keke
dc.contributor.authorSchubert, Gerald
dc.date.accessioned2015-04-14T09:26:10Z
dc.date.issued2015-02-05
dc.description.abstractMany gaseous planets and stars are rapidly rotating and can be approximately described by a polytropic equation of state with index unity.We present the first exact analytic solution, under the assumption of the oblate spheroidal shape, for an arbitrarily rotating gaseous polytrope with index unity in hydrostatic equilibrium, giving rise to its internal structure and gravitational field. The new exact solution is derived by constructing the non-spherical Green’s function in terms of the oblate spheroidal wavefunction. We then apply the exact solution to a generic object whose parameter values are guided by the observations of the rapidly rotating star α Eridani with its eccentricity Eα = 0.7454, the most oblate star known. The internal structure and gravitational field of the object are computed from its assumed rotation rate and size. We also compare the exact solution to the three-dimensional numerical solution based on a finite-element method taking full account of rotation-induced shape change and find excellent agreement between the exact solution and the finite-element solution with about 0.001 per cent discrepancy.en_GB
dc.description.sponsorshipNSFCen_GB
dc.description.sponsorshipScience & Technology Facilities Council (STFC)en_GB
dc.description.sponsorshipHKRGCen_GB
dc.description.sponsorshipNational Science Foundationen_GB
dc.identifier.citationVol. 448 (1), pp. 456 - 463en_GB
dc.identifier.doi10.1093/mnras/stu2759
dc.identifier.grantnumber11473014en_GB
dc.identifier.grantnumberST/J001627/1en_GB
dc.identifier.grantnumber14306814en_GB
dc.identifier.grantnumberNSF AST-0909206en_GB
dc.identifier.urihttp://hdl.handle.net/10871/16779
dc.language.isoenen_GB
dc.publisherOxford University Press for Royal Astronomical Societyen_GB
dc.subjectplanets and satellites: gaseous planetsen_GB
dc.subjectplanets and satellites: interiorsen_GB
dc.subjectstars: interiorsen_GB
dc.titleAn exact solution for arbitrarily rotating gaseous polytropes with index unityen_GB
dc.typeArticleen_GB
dc.date.available2015-04-14T09:26:10Z
dc.identifier.issn0035-8711
exeter.article-number1
dc.descriptionThis article has been accepted for publication in Monthly Notices of the Royal Astronomical Society ©: 2015 The Authors. Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.en_GB
dc.identifier.eissn1365-2966
dc.identifier.journalMonthly Notices of the Royal Astronomical Societyen_GB


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