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Coordinate transformations and gauges in the relativistic astronomical reference systems
Tao, JH; Huang, TY; Han, CH
2000-11-01
Source PublicationASTRONOMY & ASTROPHYSICS
ISSN0004-6361
Volume363Issue:1Pages:335-342
AbstractThis paper applies a fully post-Newtonian theory (Damour et al. 1991, 1992, 1993, 1994) to the problem of gauge in relativistic reference systems. Gauge fixing is necessary when the precision of time measurement and application reaches 10(-16) Or better. We give a general procedure for fixing the gauges of gravitational potentials in both the global and local coordinate systems, and for determining the gauge functions in all the coordinate transformations. We demonstrate that gauge fixing in a gravitational N-body problem can be solved by fixing the gauge of the self-gravitational potential of each body and the gauge function in the coordinate transformation between the global and local coordinate systems. We also show that these gauge functions can be chosen to make all the coordinate systems harmonic or any as required, no matter what gauge is chosen for the self-gravitational potential of each body.
KeywordRelativity Gravitation Astrometry Celestial Mechanics, Stellar Dynamics Reference Systems
Subject AreaAstronomy & Astrophysics
WOS HeadingsScience & Technology ; Physical Sciences
WOS KeywordCELESTIAL MECHANICS ; GENERAL-RELATIVITY ; MOTION ; VICINITY ; MOMENTS ; BODIES ; EARTH
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000165873600038
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/8257
Collection历算和天文参考系研究团组
Affiliation1.Chinese Acad Sci, Purple Mtn Observ, Nanjing 210008, Peoples R China
2.Nanjing Univ, Dept Astron, Nanjing 210093, Peoples R China
3.Zhengzhou Inst Surveying & Mapping, Dept Geodesy, Zhengzhou 450052, Peoples R China
4.Chinese Acad Sci, Natl Astron Observ, Beijing 100864, Peoples R China
Recommended Citation
GB/T 7714
Tao, JH,Huang, TY,Han, CH. Coordinate transformations and gauges in the relativistic astronomical reference systems[J]. ASTRONOMY & ASTROPHYSICS,2000,363(1):335-342.
APA Tao, JH,Huang, TY,&Han, CH.(2000).Coordinate transformations and gauges in the relativistic astronomical reference systems.ASTRONOMY & ASTROPHYSICS,363(1),335-342.
MLA Tao, JH,et al."Coordinate transformations and gauges in the relativistic astronomical reference systems".ASTRONOMY & ASTROPHYSICS 363.1(2000):335-342.
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