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不同规格化的引潮位展开及其转换 被引量:3

Expansion of tidal generating potential in different normalizations and their conversion
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摘要 引入完全规格化的缔合勒让德函数,阐述国际上两类不同规格化的引潮位展开,使引潮位函数表达更加简明,大地系数定义更加规范.由此得到由Doodson规格化与Hartmann&Wenzel规格化之间的转换系数. By introduction the fully normalized associated Legendre function to expound two types of expansions of tidal generating potential normalized using different methods in the world, the expression of function of the tidal potential becomes simple and clear; also the definitions of the geodetic coefficients are even more standard. Through that the conversion coefficients between Doodson and Hartmann & wenzel normalizations have been obtained.
作者 郗钦文
出处 《地球物理学报》 SCIE EI CAS CSCD 北大核心 2007年第1期111-114,共4页 Chinese Journal of Geophysics
关键词 引潮位展开 完全规格化的缔合勒让德函数 大地系数 转换系数 Expansion of tidal generating potential, Fully normalized associated Legendre function, Geodetic coefficient, Conversion coefficient
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参考文献9

  • 1Doodson A T.The harmonic development of the tide generating potential.Proceeding of the Royal Society (London),Series A 100,306~ 328.Reprint in International Hydrographic Revue.Monaco,1954,31(1):37~61
  • 2Cartwright D E,Tayler R J.New computations of the tide generating potential.The Geophysical Journal of the Royal Astronomical Society,1971,23(1):45~74
  • 3Cartwright D E,Edden C A.Corrected tables of tidal harmonics.The Geophysical Journal of the Royal Astronomical Society,1973,33(3):253 ~ 264
  • 4Xi Qinwen.The algebraic deduction of the harmonic development for the tide generating potential with the IBMPC.Proceeding of the 10th International Symposium on Earth Tides.Madrid,1985.481 ~ 489
  • 5Xi Qinwen.The precision of the development of the tidal generating potential and some explanatory notes.Bulletin d ' Informations Mar es Terrestres,1989,105:7396 ~ 7404
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  • 8Hartmann T,Wenzel H G.The HW95 tidal potential catalogue.Geophysical Research Letters,1995,22(24):3553 ~ 3556
  • 9都钦文.引潮位展开中的面球谐函数及其递推公式[J].地球物理学报,1999,42(1):69-73. 被引量:5

二级参考文献3

  • 1王竹溪 郭守仁.特殊函数概论[M].科学出版社,1979.383.
  • 2Xi Qinwen,Bulld’Information de Marees Terrestres,1989年,105卷,7396页
  • 3王竹溪,特殊函数概论,1979年,235页

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