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On the interpretation of the equatorially antisymmetric Jovian gravitational field
Kong, Dali1,2; Zhang, Keke2,3; Schubert, Gerald4
2017-07-01
Source PublicationMONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
ISSN0035-8711
Volume469Issue:1Pages:716-720
Corresponding AuthorZhang, Keke(kzhang@ex.ac.uk) ; Schubert, Gerald(schubert@ucla.edu)
AbstractSince the odd zonal gravitational coefficients of Jupiter are nearly unaffected by the planet's rotational distortion, an effective way of estimating the internal structure of the equatorially antisymmetric Jovian winds is to measure the odd coefficients induced by their equatorially antisymmetric component and then apply a mathematical theory to 'invert' them. The thermal-gravitational wind equation (TGWE) provides this theoretical basis for interpretation. Here, we show that the kernel term of the TGWE requires that its solutions satisfy a solvability condition. The thermal wind equation is a diagnostic relation that generates a 'solution' for any zonal wind profile, but that 'solution' does not necessarily satisfy the solvability condition required for the TGWE. We develop a new approach to solving the TGWE that respects the solvability condition. We then calculate the odd zonal gravitational coefficients of Jupiter using a profile of zonal winds that satisfies the solvability condition and is equatorially antisymmetric and consistent with the observed cloud-level winds of Jupiter. We also explain the subtle but profound difference between the TWE and the TGWE via an analogous inhomogeneous ordinary differential equation. The developed method can be readily extended for inversion of the data soon to be acquired by the Juno spacecraft.
Keywordplanets and satellites: atmospheres planets and satellites: gaseous planets planets and satellites: interiors
DOI10.1093/mnras/stx871
WOS KeywordDEEP ZONAL WINDS ; SIGNATURE ; JUPITER ; HARMONICS ; PLANETS ; SPHERE
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000402825000050
PublisherOXFORD UNIV PRESS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/23013
Collection中国科学院紫金山天文台
Corresponding AuthorZhang, Keke; Schubert, Gerald
Affiliation1.Chinese Acad Sci, Shanghai Astron Observ, Key Lab Planetary Sci, Shanghai 200030, Peoples R China
2.Univ Exeter, Ctr Geophys & Astrophys Fluid Dynam, Exeter EX4 4QF, 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
Recommended Citation
GB/T 7714
Kong, Dali,Zhang, Keke,Schubert, Gerald. On the interpretation of the equatorially antisymmetric Jovian gravitational field[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2017,469(1):716-720.
APA Kong, Dali,Zhang, Keke,&Schubert, Gerald.(2017).On the interpretation of the equatorially antisymmetric Jovian gravitational field.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,469(1),716-720.
MLA Kong, Dali,et al."On the interpretation of the equatorially antisymmetric Jovian gravitational field".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 469.1(2017):716-720.
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