Self-consistent internal structure of a rotating gaseous planet and its comparison with an approximation by oblate spheroidal equidensity surfaces

	Self-consistent internal structure of a rotating gaseous planet and its comparison with an approximation by oblate spheroidal equidensity surfaces
	Kong, Dali 1,2; Zhang, Keke 2,3; Schubert, Gerald 4
刊名	PHYSICS OF THE EARTH AND PLANETARY INTERIORS
	2015-12-01
卷号	249 页码:43-50
关键词	Gaseous planets Equilibrium Rotation Finite element method
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
语种	英语
WOS记录号	WOS:000366235300005
内容类型	期刊论文
源URL	[http://libir.pmo.ac.cn/handle/332002/16080]
专题	紫金山天文台_南极天文中心
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
推荐引用方式 GB/T 7714	Kong, Dali,Zhang, Keke,Schubert, Gerald. Self-consistent internal structure of a rotating gaseous planet and its comparison with an approximation by oblate spheroidal equidensity surfaces[J]. PHYSICS OF THE EARTH AND PLANETARY INTERIORS,2015,249:43-50.
APA	Kong, Dali,Zhang, Keke,&Schubert, Gerald.(2015).Self-consistent internal structure of a rotating gaseous planet and its comparison with an approximation by oblate spheroidal equidensity surfaces.PHYSICS OF THE EARTH AND PLANETARY INTERIORS,249,43-50.
MLA	Kong, Dali,et al."Self-consistent internal structure of a rotating gaseous planet and its comparison with an approximation by oblate spheroidal equidensity surfaces".PHYSICS OF THE EARTH AND PLANETARY INTERIORS 249(2015):43-50.