岁差-章动模型在卫星坐标转换中的应用
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摘要
针对IAU2006/2000A和IAU1976/1980岁差-章动模型中坐标转换方法的不同问题,该文对比了ICRS与FK5的变化,分析了5种典型卫星坐标转换和速度转换产生偏差的大小及原因,给卫星坐标转换提供了一个定量的参考范围,揭示了不同模型对不同类型卫星坐标转换产生的影响。两种岁差-章动模型下,卫星坐标转换后的方位之差为10mas量级,并且存在线性增长;地球自转角速度之差为-1.46×10-6″/s,并存在振幅增加的周期项;转换后卫星的位置偏差与其轨道高度正相关,自转轴方向的速度偏差对中高轨卫星最为明显。章动改正对坐标转换的影响约为天极偏差的10倍。
To the problems of differences in coordinate transformation methods for IAU2006/2000 A and IAU1976/1980 precession-nutation models,ICRS and FK5 was compared in this paper,coordinate transformation and speed transformation of five typical kinds of satellites was analyzed,aquantitative reference range for satellite coordinate transformation was provided,and the influences of different models on different types of satellite coordinate transformation was revealed.The difference of orientations after coordinate transformation was about 10 mas and increased linearly,the difference between angular velocities of Earth's rotation was about-1.46×10-6″/s and there exists periodic terms with increasing amplitude,the difference of positions after transformation was proportional to orbit altitude,the difference of velocities along spin axis was more obvious for MEO satellites.The influence on coordinate transformation of nutation correction was about 10 times to celestial pole offsets(CPO).
To the problems of differences in coordinate transformation methods for IAU2006/2000 A and IAU1976/1980 precession-nutation models,ICRS and FK5 was compared in this paper,coordinate transformation and speed transformation of five typical kinds of satellites was analyzed,aquantitative reference range for satellite coordinate transformation was provided,and the influences of different models on different types of satellite coordinate transformation was revealed.The difference of orientations after coordinate transformation was about 10 mas and increased linearly,the difference between angular velocities of Earth's rotation was about-1.46×10-6″/s and there exists periodic terms with increasing amplitude,the difference of positions after transformation was proportional to orbit altitude,the difference of velocities along spin axis was more obvious for MEO satellites.The influence on coordinate transformation of nutation correction was about 10 times to celestial pole offsets(CPO).
引文
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[4]WAHR J M.The forced nutations of an elliptical,rotating,elastic and Oceanless earth[J].GeophysicalJournal International,1981,64(3):705-727.
[5]FRICKE W.Fundamental catalogues,past,present andfuture[J].Celestial Mechanics and Dynamical Astronomy,1985,36(3):207-239.
[6]FEISSEL M,MIGNARD F.The adoption of ICRS on 1January 1998:meaning and consequences[J].Astronomy&Astrophysics,1998,331(3):33-36.
[7]MATHEWS P M,HERRING T A,BUFFETT B A J.Modelling of nutation precession:very long baselineinterferometry results[J].Journal of GeophysicalResearch,2002,107(B4):3-10.
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[9]MCCARTHY D D.IERS Conventions(1989),IERStechnical note 21[R].Paris:Central Bureau of IERSObservatoire de Paris,1996:20-39.
[10]MCCARTHY D D,PETIT G.IERS conventions(1992),IERS technical note 32[R].Frankfurt amMain:Verlag des Bundesamts für Kartographie undGeodsie,2003:33-56.
[11]MCCARTHY D D,ERS conventions(1996),IERStechnical note 21[R].Paris:Central Bureau of IERSObservatoire de Paris,1996:20-39.
[12]MCCARTHY D D,Petit G.IERS conventions(2003),IERS technical note 32[R].Frankfurt am Main:Verlagdes Bundesamts für Kartographie und Geodsie,2003:33-56.
[13]PETIT G,LUZUM B.IERS conventions(2010),IERStechnical note 36[R].Frankfurt am Main:Verlag desBundesamts für Kartographie und Geodsie,2010:43-78.
[14]CAPITAINE N,GUINOT B,SOUCHAY J.A non-rotating origin on the instantaneous equator:definition,properties and use[J].Celestial Mechanics,1986,39(3):283-307.
[15]CAPITAINE N,GUINOT B,MCCARTHY D D.Definition of the celestial ephemeris origin and of UT1in the international celestial reference frame[J].Astronomy &Astrophysics,2003,412(2):567-568.
[16]CAPITAINE N,CHAPRONT J,LAMBERT S,et al.Expressions for the celestial intermediate pole andcelestial ephemeris origin consistent with theIAU2000Aprecession-nutation model[J].Astronomy&Astrophysics,2003,400(3):1145-1154.
[17]CAPITAINE N,WALLACE P T.High precessionmethods for locating the celestial intermediate pole andorigin[J].Astronomy &Astrophysics,2006,450(2):855-872.
[18]GUINOT B.Basic problems in the kinematics of therotation of the earth[J].Proceedings of the Interna-tional Astronomical Union,1979,82(48):7-18.
[2]LIESKE J H.Precession matrix based on IAU/1976/system of astronomical constants[J].Astronomy &Astrophysics,1979,73(3):282-284.
[3]SEIDELMANN P K.1980IAU theory of nutation:thefinal report of the IAU working group on nutation[J].Celestial Mechanics,1982,27(1):79-106.
[4]WAHR J M.The forced nutations of an elliptical,rotating,elastic and Oceanless earth[J].GeophysicalJournal International,1981,64(3):705-727.
[5]FRICKE W.Fundamental catalogues,past,present andfuture[J].Celestial Mechanics and Dynamical Astronomy,1985,36(3):207-239.
[6]FEISSEL M,MIGNARD F.The adoption of ICRS on 1January 1998:meaning and consequences[J].Astronomy&Astrophysics,1998,331(3):33-36.
[7]MATHEWS P M,HERRING T A,BUFFETT B A J.Modelling of nutation precession:very long baselineinterferometry results[J].Journal of GeophysicalResearch,2002,107(B4):3-10.
[8]CAPITAINE N,WALLACE P T,CHAPRONT J.Expressions for IAU 2000precession quantities[J].Astronomy &Astrophysics,2003,412(2):567-568.
[9]MCCARTHY D D.IERS Conventions(1989),IERStechnical note 21[R].Paris:Central Bureau of IERSObservatoire de Paris,1996:20-39.
[10]MCCARTHY D D,PETIT G.IERS conventions(1992),IERS technical note 32[R].Frankfurt amMain:Verlag des Bundesamts für Kartographie undGeodsie,2003:33-56.
[11]MCCARTHY D D,ERS conventions(1996),IERStechnical note 21[R].Paris:Central Bureau of IERSObservatoire de Paris,1996:20-39.
[12]MCCARTHY D D,Petit G.IERS conventions(2003),IERS technical note 32[R].Frankfurt am Main:Verlagdes Bundesamts für Kartographie und Geodsie,2003:33-56.
[13]PETIT G,LUZUM B.IERS conventions(2010),IERStechnical note 36[R].Frankfurt am Main:Verlag desBundesamts für Kartographie und Geodsie,2010:43-78.
[14]CAPITAINE N,GUINOT B,SOUCHAY J.A non-rotating origin on the instantaneous equator:definition,properties and use[J].Celestial Mechanics,1986,39(3):283-307.
[15]CAPITAINE N,GUINOT B,MCCARTHY D D.Definition of the celestial ephemeris origin and of UT1in the international celestial reference frame[J].Astronomy &Astrophysics,2003,412(2):567-568.
[16]CAPITAINE N,CHAPRONT J,LAMBERT S,et al.Expressions for the celestial intermediate pole andcelestial ephemeris origin consistent with theIAU2000Aprecession-nutation model[J].Astronomy&Astrophysics,2003,400(3):1145-1154.
[17]CAPITAINE N,WALLACE P T.High precessionmethods for locating the celestial intermediate pole andorigin[J].Astronomy &Astrophysics,2006,450(2):855-872.
[18]GUINOT B.Basic problems in the kinematics of therotation of the earth[J].Proceedings of the Interna-tional Astronomical Union,1979,82(48):7-18.