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THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS
Zhang, Keke1,2; Kong, Dali1,3; Schubert, Gerald4
2015-06-20
Source PublicationASTROPHYSICAL JOURNAL
Volume806Issue:2
AbstractThe standard thermal wind equation (TWE) relating the vertical shear of a flow to the horizontal density gradient in an atmosphere has been used to calculate the external gravitational signature produced by zonal winds in the interiors of giant gaseous planets. We show, however, that in this application the TWE needs to be generalized to account for an associated gravitational perturbation. We refer to the generalized equation as the thermal-gravitational wind equation (TGWE). The generalized equation represents a two-dimensional kernel integral equation with the Green's function in its integrand and is hence much more difficult to solve than the standard TWE. We develop an extended spectral method for solving the TGWE in spherical geometry. We then apply the method to a generic gaseous Jupiter-like object with idealized zonal winds. We demonstrate that solutions of the TGWE are substantially different from those of the standard TWE. We conclude that the TGWE must be used to estimate the gravitational signature of zonal winds in giant gaseous planets.
KeywordPlanetary Systems Planets And Satellites: Gaseous Planets Planets And Satellites: Interiors
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1088/0004-637X/806/2/270
WOS KeywordDEEP ZONAL FLOWS ; CONVECTION ; JUPITER ; GRAVITY ; JETS
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000357129500125
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Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/16007
Collection暗物质和空间天文实验室
Affiliation1.Univ Exeter, Ctr Geophys & Astrophys Fluid Dynam, Exeter EX4 4QF, Devon, England
2.Univ Exeter, Dept Math Sci, Exeter EX4 4QF, Devon, England
3.Chinese Acad Sci, Key Lab Planetary Sci, Shanghai 200030, Peoples R China
4.Univ Calif Los Angeles, Dept Earth Planetary & Space Sci, Los Angeles, CA 90095 USA
Recommended Citation
GB/T 7714
Zhang, Keke,Kong, Dali,Schubert, Gerald. THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS[J]. ASTROPHYSICAL JOURNAL,2015,806(2).
APA Zhang, Keke,Kong, Dali,&Schubert, Gerald.(2015).THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS.ASTROPHYSICAL JOURNAL,806(2).
MLA Zhang, Keke,et al."THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS".ASTROPHYSICAL JOURNAL 806.2(2015).
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