不同插值法对下一代卫星重力反演精度的影响
|
摘要
开展了下一代GRACE Follow-On卫星重力反演的研究论证。第一,基于6点Lagrange和Taylor星间速度插值法,利用轨道参数(轨道高度250 km、星间距离50 km、轨道倾角89°、轨道离心率0.001)和关键载荷匹配精度(激光干涉测距系统的星间速度10-7m/s、GPS接收机的卫星位置10-3m和速度10-6m/s、加速度计的非保守力10-11m/s2),精确和快速反演了下一代GRACE Follow-On地球重力场;在120阶处,累计大地水准面精度分别为1.53×10-3m和2.51×10-3m。第二,基于6点Lagrange星间速度插值法反演下一代GRACE Follow-On地球重力场精度较基于6点Taylor星间速度插值法的反演精度平均提高2倍,因此Lagrange星间速度插值法对地球重力场反演精度的敏感性优于Taylor星间速度插值法。
The demonstration researches on the next-generation Earth's gravitational field recovery from GRACE Follow-On are carried out in this paper. Firstlly,based on the six-point Lagrange and Taylor intersatellite range-rate interpolation methods,using orbital parameters( orbital altitude of 250 km,intersatellite range of 50 km,orbital inclination of 89° and orbital eccentricity of 0. 001) and the matching accuracies of key payloads( 10- 7m / s in intersatellite range-rate of the interferometric laser ranging system,10- 3m in orbital position and 10- 6m / s in orbital velocity of the GPS receiver, and 10- 11m / s2in non-conservative force of the accelerometer),the next-generation Earth 's gravitational field from GRACE Follow-On is precisely and rapidly recovered; At degree 120,cumulative geoid height errors are 1. 53 × 10- 3m and 2. 51 × 10- 3m,respectively. Secondly,since the accuracy of the Earth's gravitational field by the six-point Lagrange intersatellite range-rate interpolation method is about 2 times higher than that by the six-point Taylor intersatellite range-rate interpolation method,the sensitivity of the Lagrange intersatellite range-rate interpolation method to the accuracy of the Earth's gravitational feild recovery surpasses that of the Taylor intersatellite range-rate interpolation method.
The demonstration researches on the next-generation Earth's gravitational field recovery from GRACE Follow-On are carried out in this paper. Firstlly,based on the six-point Lagrange and Taylor intersatellite range-rate interpolation methods,using orbital parameters( orbital altitude of 250 km,intersatellite range of 50 km,orbital inclination of 89° and orbital eccentricity of 0. 001) and the matching accuracies of key payloads( 10- 7m / s in intersatellite range-rate of the interferometric laser ranging system,10- 3m in orbital position and 10- 6m / s in orbital velocity of the GPS receiver, and 10- 11m / s2in non-conservative force of the accelerometer),the next-generation Earth 's gravitational field from GRACE Follow-On is precisely and rapidly recovered; At degree 120,cumulative geoid height errors are 1. 53 × 10- 3m and 2. 51 × 10- 3m,respectively. Secondly,since the accuracy of the Earth's gravitational field by the six-point Lagrange intersatellite range-rate interpolation method is about 2 times higher than that by the six-point Taylor intersatellite range-rate interpolation method,the sensitivity of the Lagrange intersatellite range-rate interpolation method to the accuracy of the Earth's gravitational feild recovery surpasses that of the Taylor intersatellite range-rate interpolation method.
引文
[1]Hwang C.Gravity recovery using COSMIC GPS data:application of orbital perturbation theory[J].Journal of Geodesy,2001,75(2):117-136.
[2]Cheng M K.Gravitational perturbation theory for intersatellite tracking[J].Journal of Geodesy,2002,76(3):169-185.
[3]Xu P L.Position and velocity perturbations for the determination of geopotential from space geodetic measurements[J].Celestial Mechanics and Dynamical Astronomy,2008,100(3):231-249.
[4]Reigber Ch,Schmidt R,Flechtner F.An Earth gravity field model complete to degree and order 150 from GRACE:EIGEN-GRACE02S[J].Journal of Geodynamics,2005,39(1):1-10.
[5]Tapley B D,Ries J,Bettadpur S,et al.GGM02-an improved Earth gravity field model from GRACE[J].Journal of Geodesy,2005,79(8):467-478.
[6]周旭华,许厚泽,吴斌,等.用GRACE卫星跟踪数据反演地球重力场[J].地球物理学报,2006,49(3):718-723.[Zhou Xu-hua,Xu Hou-ze,Wu Bin,et al.Earth’s gravity field derived from GRACE satellite tracking data[J].Chinese Journal of Geophysics,2006,49(3):718-723.]
[7]Jekeli C.The determination of gravitational potential differences from SST tracking[J].Celestial Mechanics and Dynamical Astronomy,1999,75(2):85-101.
[8]Gerlach Ch,Fldvary L,vehla D,et al.A CHAMP-only gravity field model from kinematic orbits using the energy integral[J].Geophysical Research Letters,2003,30(20):2037,DOI:10.1029/2003GL018025.
[9]Han S C,Shum C K,Braun A.High-resolution continental water storage recovery from low-low satellite-to-satellite tracking[J].Journal of Geodynamics,2005,39(1):11-28.
[10]程芦颖,许厚泽.地球重力场恢复中的位旋转效应[J].地球物理学报,2006,49(1):93-98.[Cheng Lu-ying,Xu Hou-ze.The rotation of the gravity potential on the Earth’s gravity field recovery[J].Chinese Journal of Geophysics,2006,49(1):93-98.]
[11]郑伟,邵成刚,罗俊,等.基于卫-卫跟踪观测技术利用能量守恒法恢复地球重力场的数值模拟研究[J].地球物理学报,2006,49(3):712-717.[Zheng Wei,Shao Cheng-gang,Luo Jun,et al.Numerical simulation of Earth’s gravitational field recovery from SST based on the energy conservation principle[J].Chinese Journal of Geophysics,2006,49(3):712-717.]
[12]郑伟,许厚泽,钟敏,等.GRACE卫星关键载荷实测数据的有效处理和地球重力场的精确解算[J].地球物理学报,2009,52(8):1966-1975.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Effective processing of measured data from GRACE key payloads and accurate determination of Earth’s gravitational field[J].Chinese Journal of Geophysics,2009,52(8):1966-1975.]
[13]郑伟,许厚泽,钟敏,等.GRACE星体和SuperSTAR加速度计的质心调整精度对地球重力场精度的影响[J].地球物理学报,2009,52(6):1465-1473.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Influence of the adjusted accuracy of center of mass between GRACE satellite and SuperSTAR accelerometer on the accuracy of Earth’s gravitational field[J].Chinese Journal of Geophysics,2009,52(6):1465-1473.]
[14]Zheng Wei,Xu Hou-ze,Zhong Min,et al.Efficient calibration of the non-conservative force data from the space-borne accelerometers of the twin GRACE satellites[J].Transactions of the Japan Society for Aeronautical and Space Sciences,2011,54(184):106-110.
[15]郑伟,许厚泽,钟敏,等.卫星跟踪卫星测量模式中关键载荷精度指标不同匹配关系论证[J].宇航学报,2011,32(3):697-706.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Demonstration on different matching relationship of accuracy indexes from key payloads in the satellite-to-satellite tracking model[J].Journal of Astronautics,2011,32(3):697-706.]
[16]Reubelt T,Austen G,Grafarend E W.Harmonic analysis of the Earth’s gravitational field by means of semi-continuous ephemeris of a low Earth orbiting GPS-tracked satellite,Case study:CHAMP[J].Journal of Geodesy,2003,77(5):257-278.
[17]沈云中,许厚泽,吴斌.星间加速度解算模式的模拟与分析[J].地球物理学报,2005,48(4):807-811.[Shen Yunzhong,Xu Hou-ze,Wu Bin.Simulation of recovery of the geopotential model based on intersatellite acceleration data in the low-low satellite to satellite tracking gravity mission[J].Chinese Journal of Geophysics,2005,48(4):807-811.]
[18]Ditmar P,Liu X L.Dependence of the Earth’s gravity model derived from satellite accelerations on a priori information[J].Journal of Geodynamics,2007,43(2):189-199.
[19]郑伟,许厚泽,钟敏,等.插值公式、相关系数和采样间隔对GRACE Follow-On星间加速度精度的影响[J].地球物理学报,2012,55(3):822-832.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Impacts of interpolation formula,correlation coefficient and sampling interval on the accuracy of GRACE Follow-On intersatellite range-acceleration[J].Chinese Journal of Geophysics,2012,55(3):822-832.]
[20]Zheng W,Xu H Z,Zhong M,et al.Efficient accuracy improvement of GRACE global gravitational field recovery using a new inter-satellite range interpolation method[J].Journal of Geodynamics,2012,53:1-7.
[21]Zheng W,Xu H Z,Zhong M,et al.Precise recovery of the Earth’s gravitational field with GRACE:Intersatellite RangeRate Interpolation Approach[J].IEEE Geoscience and Remote Sensing Letters,2012,9(3):422-426.
[22]Jekeli C,Rapp R H.Accuracy of the determination of mean anomalies and mean geoid undulations from a satellite gravity field mapping mission[R].USA:Ohio State University,October 1980.
[23]Sneeuw N.A semi-analytical approach to gravity field analysis from satellite observations[D].Germany:Technical University of Munich,2000.
[24]郑伟,许厚泽,钟敏,等.基于半解析法有效和快速估计GRACE全球重力场的精度[J].地球物理学报,2008,51(6):1704-1710.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Efficient and rapid estimation of the accuracy of GRACE global gravitational field using the semi-analytical method[J].Chinese Journal of Geophysics,2008,51(6):1704-1710.
[25]Zheng W,Xu H Z,Zhong M,et al.Accurate and rapid error estimation on global gravitational field from current GRACE and future GRACE Follow-On missions[J].Chinese Physics B,2009,18(8):3597-3604.
[26]郑伟,许厚泽,钟敏,等.利用解析法有效快速估计将来GRACE Follow-On地球重力场的精度[J].地球物理学报,2010,53(4):796-806.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Efficient and rapid estimation of the accuracy of future GRACE Follow-On Earth’s gravitational field using the analytic method[J].Chinese Journal of Geophysics,2010,53(4):796-806.]
[27]Zheng W,Xu H Z,Zhong M,et al.Efficient and rapid accuracy estimation of the Earth’s gravitational field from next-generation GOCE Follow-On by the analytical method[J].Chinese Physics B,2013,22(4):049101-1-049101-8.
[28]Rummel R.How to climb the gravity wall[J].Space Science Reviews,2003,108(1):1-14.
[29]Sneeuw N.Science requirements on future missions and simulated mission scenarios[J].Earth,Moon,and Planets,2005,94(1):113-142.
[30]Zheng W,Shao C G,Luo J,et al.Improving the accuracy of GRACE Earth’s gravitational field using the combination of different inclinations[J].Progress in Natural Science,2008,18(5):555-561.
[31]Wiese D N,Folkner W M,Nerem R S.Alternative mission architectures for a gravity recovery satellite mission[J].Journal of Geodesy,2009,83(6):569-581.
[32]Zheng W,Xu H Z,Zhong M,et al.Physical explanation of influence of twin and three satellites formation mode on the accuracy of Earth’s gravitational field[J].Chinese Physics Letters,2009,26(2):029101-1-029101-4.
[33]Loomis B D,Nerem R S,Luthcke S B.Simulation study of a follow-on gravity mission to GRACE[J].Journal of Geodesy,2012,86(5):319-335.
[34]Wiese D N,Nerem R S,Lemoine F G.Design considerations for a dedicated gravity recovery satellite mission consisting of two pairs of satellites[J].Journal of Geodesy,2012,86(2):81-98.
[35]Waring E.Problems concerning interpolations[J].Philosophical Transactions of the Royal Society of London,1779,69:59-67.
[36]Meijering E.A chronology of interpolation:From ancient astronomy to modern signal and image processing[J].Proceedings of the IEEE,2002,90(3):319-342.
[2]Cheng M K.Gravitational perturbation theory for intersatellite tracking[J].Journal of Geodesy,2002,76(3):169-185.
[3]Xu P L.Position and velocity perturbations for the determination of geopotential from space geodetic measurements[J].Celestial Mechanics and Dynamical Astronomy,2008,100(3):231-249.
[4]Reigber Ch,Schmidt R,Flechtner F.An Earth gravity field model complete to degree and order 150 from GRACE:EIGEN-GRACE02S[J].Journal of Geodynamics,2005,39(1):1-10.
[5]Tapley B D,Ries J,Bettadpur S,et al.GGM02-an improved Earth gravity field model from GRACE[J].Journal of Geodesy,2005,79(8):467-478.
[6]周旭华,许厚泽,吴斌,等.用GRACE卫星跟踪数据反演地球重力场[J].地球物理学报,2006,49(3):718-723.[Zhou Xu-hua,Xu Hou-ze,Wu Bin,et al.Earth’s gravity field derived from GRACE satellite tracking data[J].Chinese Journal of Geophysics,2006,49(3):718-723.]
[7]Jekeli C.The determination of gravitational potential differences from SST tracking[J].Celestial Mechanics and Dynamical Astronomy,1999,75(2):85-101.
[8]Gerlach Ch,Fldvary L,vehla D,et al.A CHAMP-only gravity field model from kinematic orbits using the energy integral[J].Geophysical Research Letters,2003,30(20):2037,DOI:10.1029/2003GL018025.
[9]Han S C,Shum C K,Braun A.High-resolution continental water storage recovery from low-low satellite-to-satellite tracking[J].Journal of Geodynamics,2005,39(1):11-28.
[10]程芦颖,许厚泽.地球重力场恢复中的位旋转效应[J].地球物理学报,2006,49(1):93-98.[Cheng Lu-ying,Xu Hou-ze.The rotation of the gravity potential on the Earth’s gravity field recovery[J].Chinese Journal of Geophysics,2006,49(1):93-98.]
[11]郑伟,邵成刚,罗俊,等.基于卫-卫跟踪观测技术利用能量守恒法恢复地球重力场的数值模拟研究[J].地球物理学报,2006,49(3):712-717.[Zheng Wei,Shao Cheng-gang,Luo Jun,et al.Numerical simulation of Earth’s gravitational field recovery from SST based on the energy conservation principle[J].Chinese Journal of Geophysics,2006,49(3):712-717.]
[12]郑伟,许厚泽,钟敏,等.GRACE卫星关键载荷实测数据的有效处理和地球重力场的精确解算[J].地球物理学报,2009,52(8):1966-1975.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Effective processing of measured data from GRACE key payloads and accurate determination of Earth’s gravitational field[J].Chinese Journal of Geophysics,2009,52(8):1966-1975.]
[13]郑伟,许厚泽,钟敏,等.GRACE星体和SuperSTAR加速度计的质心调整精度对地球重力场精度的影响[J].地球物理学报,2009,52(6):1465-1473.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Influence of the adjusted accuracy of center of mass between GRACE satellite and SuperSTAR accelerometer on the accuracy of Earth’s gravitational field[J].Chinese Journal of Geophysics,2009,52(6):1465-1473.]
[14]Zheng Wei,Xu Hou-ze,Zhong Min,et al.Efficient calibration of the non-conservative force data from the space-borne accelerometers of the twin GRACE satellites[J].Transactions of the Japan Society for Aeronautical and Space Sciences,2011,54(184):106-110.
[15]郑伟,许厚泽,钟敏,等.卫星跟踪卫星测量模式中关键载荷精度指标不同匹配关系论证[J].宇航学报,2011,32(3):697-706.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Demonstration on different matching relationship of accuracy indexes from key payloads in the satellite-to-satellite tracking model[J].Journal of Astronautics,2011,32(3):697-706.]
[16]Reubelt T,Austen G,Grafarend E W.Harmonic analysis of the Earth’s gravitational field by means of semi-continuous ephemeris of a low Earth orbiting GPS-tracked satellite,Case study:CHAMP[J].Journal of Geodesy,2003,77(5):257-278.
[17]沈云中,许厚泽,吴斌.星间加速度解算模式的模拟与分析[J].地球物理学报,2005,48(4):807-811.[Shen Yunzhong,Xu Hou-ze,Wu Bin.Simulation of recovery of the geopotential model based on intersatellite acceleration data in the low-low satellite to satellite tracking gravity mission[J].Chinese Journal of Geophysics,2005,48(4):807-811.]
[18]Ditmar P,Liu X L.Dependence of the Earth’s gravity model derived from satellite accelerations on a priori information[J].Journal of Geodynamics,2007,43(2):189-199.
[19]郑伟,许厚泽,钟敏,等.插值公式、相关系数和采样间隔对GRACE Follow-On星间加速度精度的影响[J].地球物理学报,2012,55(3):822-832.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Impacts of interpolation formula,correlation coefficient and sampling interval on the accuracy of GRACE Follow-On intersatellite range-acceleration[J].Chinese Journal of Geophysics,2012,55(3):822-832.]
[20]Zheng W,Xu H Z,Zhong M,et al.Efficient accuracy improvement of GRACE global gravitational field recovery using a new inter-satellite range interpolation method[J].Journal of Geodynamics,2012,53:1-7.
[21]Zheng W,Xu H Z,Zhong M,et al.Precise recovery of the Earth’s gravitational field with GRACE:Intersatellite RangeRate Interpolation Approach[J].IEEE Geoscience and Remote Sensing Letters,2012,9(3):422-426.
[22]Jekeli C,Rapp R H.Accuracy of the determination of mean anomalies and mean geoid undulations from a satellite gravity field mapping mission[R].USA:Ohio State University,October 1980.
[23]Sneeuw N.A semi-analytical approach to gravity field analysis from satellite observations[D].Germany:Technical University of Munich,2000.
[24]郑伟,许厚泽,钟敏,等.基于半解析法有效和快速估计GRACE全球重力场的精度[J].地球物理学报,2008,51(6):1704-1710.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Efficient and rapid estimation of the accuracy of GRACE global gravitational field using the semi-analytical method[J].Chinese Journal of Geophysics,2008,51(6):1704-1710.
[25]Zheng W,Xu H Z,Zhong M,et al.Accurate and rapid error estimation on global gravitational field from current GRACE and future GRACE Follow-On missions[J].Chinese Physics B,2009,18(8):3597-3604.
[26]郑伟,许厚泽,钟敏,等.利用解析法有效快速估计将来GRACE Follow-On地球重力场的精度[J].地球物理学报,2010,53(4):796-806.[Zheng Wei,Xu Hou-ze,Zhong Min,et al.Efficient and rapid estimation of the accuracy of future GRACE Follow-On Earth’s gravitational field using the analytic method[J].Chinese Journal of Geophysics,2010,53(4):796-806.]
[27]Zheng W,Xu H Z,Zhong M,et al.Efficient and rapid accuracy estimation of the Earth’s gravitational field from next-generation GOCE Follow-On by the analytical method[J].Chinese Physics B,2013,22(4):049101-1-049101-8.
[28]Rummel R.How to climb the gravity wall[J].Space Science Reviews,2003,108(1):1-14.
[29]Sneeuw N.Science requirements on future missions and simulated mission scenarios[J].Earth,Moon,and Planets,2005,94(1):113-142.
[30]Zheng W,Shao C G,Luo J,et al.Improving the accuracy of GRACE Earth’s gravitational field using the combination of different inclinations[J].Progress in Natural Science,2008,18(5):555-561.
[31]Wiese D N,Folkner W M,Nerem R S.Alternative mission architectures for a gravity recovery satellite mission[J].Journal of Geodesy,2009,83(6):569-581.
[32]Zheng W,Xu H Z,Zhong M,et al.Physical explanation of influence of twin and three satellites formation mode on the accuracy of Earth’s gravitational field[J].Chinese Physics Letters,2009,26(2):029101-1-029101-4.
[33]Loomis B D,Nerem R S,Luthcke S B.Simulation study of a follow-on gravity mission to GRACE[J].Journal of Geodesy,2012,86(5):319-335.
[34]Wiese D N,Nerem R S,Lemoine F G.Design considerations for a dedicated gravity recovery satellite mission consisting of two pairs of satellites[J].Journal of Geodesy,2012,86(2):81-98.
[35]Waring E.Problems concerning interpolations[J].Philosophical Transactions of the Royal Society of London,1779,69:59-67.
[36]Meijering E.A chronology of interpolation:From ancient astronomy to modern signal and image processing[J].Proceedings of the IEEE,2002,90(3):319-342.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |