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题名: Self-consistent internal structure of a rotating gaseous planet and its comparison with an approximation by oblate spheroidal equidensity surfaces
作者: Kong, Dali1, 2; Zhang, Keke2, 3; Schubert, Gerald4
刊名: PHYSICS OF THE EARTH AND PLANETARY INTERIORS
出版日期: 2015-12-01
卷号: 249, 页码:43-50
关键词: Gaseous planets ; Equilibrium ; Rotation ; Finite element method
DOI: 10.1016/j.pepi.2015.09.008
文章类型: Article
英文摘要: In an important paper, Roberts (1963b) studied the hydrostatic equilibrium of an isolated, self-gravitating, rapidly rotating polytropic gaseous body based on a controversial assumption/approximation that all (outer and internal) equidensity surfaces are in the shape of oblate spheroids whose eccentricities are a function of the equatorial radius and whose axes of symmetry are parallel to the rotation axis. We compute the three-dimensional, finite-element, fully self-consistent, continuous solution for a rapidly rotating polytropic gaseous body with Jupiter-like parameters without making any prior assumptions about its outer shape and internal structure. Upon partially relaxing the Roberts' approximation by assuming that only the outer equidensity surface is in the shape of an oblate spheroid, we also compute a finite-element solution with the same parameters without making any prior assumptions about its internal structure. It is found that all equidensity surfaces of the fully self-consistent solution differ only slightly from the oblate spheroidal shape. It is also found that the characteristic difference between the fully self-consistent solution and the outer-spheroidal-shape solution is insignificantly small. Our results suggest that the Roberts' assumption of spheroidal equidensity surfaces represents a reasonably accurate approximation for rotating polytropic gaseous bodies with Jupiter-like parameters. The numerical accuracy of our finite-element solution is checked by an exact analytic solution based on the Green's function using the spheroidal wave function. The three different solutions in non-spherical geometries - the fully self-consistent numerical solution, the numerical solution with the outer spheroidal shape and the exact analytical solution - can also serve as a useful benchmark for other solutions based on different numerical methods. (C) 2015 Elsevier B.V. All rights reserved.
WOS标题词: Science & Technology ; Physical Sciences
类目[WOS]: Geochemistry & Geophysics
研究领域[WOS]: Geochemistry & Geophysics
关键词[WOS]: GRAVITATIONAL SIGNATURE ; POLYTROPES ; JUPITER
收录类别: SCI
项目资助者: Leverhulme Trust(RPG-2015-096) ; Macau FDCT Grant(039/2013/A2)
语种: 英语
WOS记录号: WOS:000366235300005
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内容类型: 期刊论文
URI标识: http://libir.pmo.ac.cn/handle/332002/16080
Appears in Collections:南极天文中心_期刊论文

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作者单位: 1.Chinese Acad Sci, Key Lab Planetary Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
2.Univ Exeter, Ctr Geophys & Astrophys Fluid Dynam, Exeter EX4 4QE, Devon, England
3.Macau Univ Sci & Technol, Lunar & Planetary Sci Lab, Macau, Peoples R China
4.Univ Calif Los Angeles, Dept Earth Planetary & Space Sci, Los Angeles, CA 90095 USA
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