确定地球外部重力场的虚拟压缩恢复法The fictitious compress recuperation method of determining the earth's external gravity field
申文斌,宁津生
摘要(Abstract):
自申文斌提出引力位虚拟压缩恢复法[1,2 ] 并证明了级数解的一致收敛性[3 ] 之后 ,宁津生和申文斌等又提出了引力场虚拟压缩恢复法[4] 本文在指出了Stokes理论、Molodenskii理论以及Bjerhammar理论所存在的缺陷或不足之后 ,概述了引力位虚拟压缩恢复法 ,用新的观点考察了引力场虚拟压缩恢复法并证明了由此得到的级数解是一致收敛的 ,提出了引力梯度场虚拟压缩恢复法 ,最后给出了确定高程的模型
关键词(KeyWords): 重力位;引力场;引力梯度场;虚拟压缩
基金项目(Foundation): 国家自然科学基金资助项目 (4 0 374 0 0 4 ;;4 0 0 74 0 0 5 ) ;; 实验室开放研究基金 (测绘基础研究 )资助项目 (0 3-0 4 - 13)
作者(Author): 申文斌,宁津生
参考文献(References):
- [1] SHENWen bin.Geodeticboundaryvalueproblems[R].Graz:LectureNotes,1998.
- [2] SHENWen bin.Fictitiouscompress recuperationofgravitationalpotential[J].GeomaticsandInformationScienceofWuhanUniversity,2004,(1).
- [3] SHENWen bin.Theproofoftheuniformconvergenceoftheseriessolutionaboutthefictitiouscompress recuperationofgravitational potential[J ].GeomaticsandInformationScienceofWuhanUniversity,2004.
- [4] SHENWen bin,NINGJin sheng,LIUJin nan,CHAODing bo.ANewMethodofDeterminingtheGravityField[J].PapersubmittedtoJournalofGeophysics,2004.
- [5] HeiskanenWA ,MoritzH .Physicalgeodesy[M ].FreemanandCompany,SanFrancisco,1967.
- [6] GUANZe lin,NINGJin sheng.Theearth’sfigureanditsexternalgravityfield[M ].Beijing:SurveyingandMappingPress,1981.
- [7] MoritzH .Advanced physicalgeodesy$[M ].Wichmann,Karlsruhe,1980.
- [8] MolodenskiiMS ,EremeevVF ,YrukinaMJ.Methodsforstudyoftheexternalgravitationalfieldandfigureoftheearth(transl.fromRussian1960)[M ].Jerusalem:IsraelProgramforScientificTranslations,1962.
- [9] BjerhammarA .Anewtheoryofgeodeticgravity[R].Stockholm:Trans.Roy.InstituteTechnology.1964.
- [10] LIJian chen,CHENJun yong,NINGJin shen,CHAODing bo.Theapproximationtheoryoftheearth’s gravityfieldandthedeterminationofthequasigeoid2000inChina[M ].Wuhan:WuhanUniversityPress,2003.
- [11] FyhedengortzKM .ThedifferentialandintegrationalcourseVolⅡ,No.2[M ].Beijing:People’sEducationPress,1954.
- [12] SHENWen bin,ZHANGKe fei.Explorationsontheequigeopotentialsurfaces[J].BollettinodiGeodesiaeScienzeAffini,1997.129139.
- [13] XUHou ze,ZHUZhuo wen.Thefictitioussinglelayerdensityexpressionoftheearth’sexternalgravityfield[J].ChinaScience(B),1984,6:575580.
- [14] BjerhammarA .Discretephysical geodesy[R ].Columbus:(380),Dept.ofGeodeticScienceandSurveying,TheOhioStateUniversity,1987.