Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Progress in Geophysics》 2013-02
Add to Favorite Get Latest Update

Construction of non-singular computational model of trajectory disturbing gravity

LIU Xiao-gang1,2,3,WU Juan1,2,JI Jian-feng1,2(1.Xi'an Research Institute of Surveying and Mapping,Xi'an 710054,China; 2.National Key Laboratory of Geo-Information Engineering,Xi'an 710054,China; 3.Key laboratory of Geospace Environment and Geodesy of Ministry of Education,Wuhan University,Wuhan 430079,China)  
If the trajectory disturbing gravity is computed by earth gravity field model,due to the first-order derivatives of the Legendre functions of the colatitude and the sine function of colatitude in the denominator,the calcultated disturbing gravity values tend to be infinity when the missiles are flying around the poles.Therefore,the non-singular computational formulae of the first-order derivatives of the Legendre functions of the colatitude and the mPnm(cosθ)/sinθ are deduced here.The non-singular particular computational models of each component of the trajectory disturbing gravity are constructed.Then,the changing trends of each component of trajectory disturbing gravity in polar regions are analyzed by numerical experiments,which show that the singular problem in the computation of trajectory disturbing gravity in polar regions by earth gravity field model is completely solved.
【Fund】: 国家自然科学基金(41174026 41104047 41174017);; 地球空间环境和大地测量教育部重点实验室开放基金(11-01-03)联合资助
【CateGory Index】: V412.41
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 10 Hits
1 LIU Xiaogang,WU Xiaoping,ZHAO Dongming,WU Xing Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China;Non-singular Expression of the Disturbing Gravity Gradients[J];Acta Geodaetica et Cartographica Sinica;2010-05
2 XU Tian-he1,GAN Yue-hong2(1 Xi'an Research Institute of Surveying and Mapping,Xi'an 710054,China;2 Nanchang Institute of Aeronautical Technology,Nanchang 330036,China);CHAMP Gravity field recovery based on the improved energy conservation approach[J];Progress in Geophysics;2008-01
3 MENG JIA-CHUN LIU SHANG-YU(Institute of Geodesy and Geophysics, Academia Sinica, Wuhan 430077);RESEARCH ON ACCURACIES FOR SATELLITE GRAVITY GRADIOMETRY AND EARTH'S GRAVITATIONAL FIELD[J];Chinese Journal of Geophysics;1993-06
4 PENG Fu-Qing XIA Zhe-Ren Xi'an Institute of Surveying and Mapping, Xi'an 710054, China;ALGORITHMS FOR COMPUTING ULTRA-HIGH-DEGREE DISTURBING GEOPOTENTIAL ELEMENTS[J];Chinese Journal of Geophysics;2004-06
5 ZHOU Xu-Hua, WU Bin, XU Hou-Ze, PENG Bi-Bo Key Laboratory of Dynamic Geodesy, Institute of Geodesy & Geophysics, Chinese Academy of Sciences, Wuhan 430077, China;Resolution estimation of Earth gravity field recovery through the low-low satellite to satellite technology by numerical simulation[J];Chinese Journal of Geophysics;2005-02
6 XU Tian-He, YANG Yuan-Xi Xi' an Research Institute of Surveying and Mapping, Xi' an 710054, China;CHAMP gravity field recovery using kinematic orbits[J];Chinese Journal of Geophysics;2005-02
7 ZHENG Wei~1,SHAO Cheng-Gang~1,LUO Jun~(1*),HSU Houtse~21 Department of Physics,Huazhong University of Science and Technology,Wuhan 430074,China2 Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 430077,China;Numerical simulation of Earth's gravitational field recovery from SST based on the energy conservation principle[J];Chinese Journal of Geophysics;2006-03
8 ZHOU Xu-Hua~1,2,HSU Houtse~1,WU Bin~2,PENG Bi-Bo~1,LU Yang~11 Key Laboratory of Dynamic Geodesy,Institute of Geodesy & Geophysics,Chinese Academy of Sciences,Wuhan 430077,China2 Shanghai Astronomical Observatory,Chinese Academy of Sciences,Shanghai 200030,China;Earth's gravity field derived from GRACE satellite tracking data[J];Chinese Journal of Geophysics;2006-03
9 WANG Zheng-Tao1,2,LI Jian-Cheng2,JIANG Wei-Ping2,CHAO Ding-Bo2 1 Institute of Geodesy and Geodynamics,Chinese Academy of Surveying and Mapping,Beijing 100039,China2 School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;Determination of earth gravity field model WHU-GM-05 using GRACE gravity data[J];Chinese Journal of Geophysics;2008-05
10 ZHENG Wei1,2,HSU Houtse1,ZHONG Min1,YUN Mei-Juan3,ZHOU Xu-Hua1,PENG Bi-Bo11 Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 430077,China2 Disaster Prevention Research Institute,Kyoto University,Uji,Kyoto 611-0011,Japan3 Department of Applied Physics,Wuhan University of Science and Technology,Wuhan 430081,China;Efficient and rapid estimation of the accuracy of GRACE global gravitational field using the semi-analytical method[J];Chinese Journal of Geophysics;2008-06
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHU Ming,ZHAO Dong-ming,LUO Dong-fang(Institute of Surveying and Mapping,Information Engineering University,Zhengzhou450052,China);Study on the MBVP Under the Circumstance of Calculus Variations[J];Engineering of Surveying and Mapping;2002-02
2 LIU Xiao-gang1,LIU Yan-yu2,CAO Ji-dong2,WANG Li-hong1,PANG Zhen-xing1,CHEN Shao-ming1(1.Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China;2.61081 troops,Beijing 100094,China);Study on the methed of GPS leveling using remove-restore technology to approach the geoid[J];Engineering of Surveying and Mapping;2008-03
3 LI Shan-shan, WU Xiao-ping, CHEN Shao-ming(Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052, China);Computation of gravity vertical gradient in gravity reduction of gravity-aided inertial navigation system[J];Science of Surveying and Mapping;2008-02
4 ZHONG-Bo①,LUO Zhi-cai①②,WU Yun-long①,LUO-Jia①②(①School of Geodesy and Geomatics,Wuhan University;②The Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,Wuhan University,Wuhan 430079,China);Design and realization of the simulation analysis software for the major technology indexes of satellite-to-satellite tracking mission[J];Science of Surveying and Mapping;2008-03
5 YUE Jian-li~①, HE Zhi-tang~① , ZHU Yi-qing~② , ZHEN Yong-hong~① , GAO Fu-cai~① , FAN Qian-hong~① ( ①The First Geodetic Surveying Brigade of SBSM,Xi' an 710054, China; ② The Second Monitoring Center, China Earthquake Administration, Xi'an710054, China);Study of groundwater changes by absolute gravity measurement[J];Science of Surveying and Mapping;2008-S2
6 ZHOU Shi-chang,WANG Qing-bin,ZHANG Chuan-ding(Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China);Simulation experiment of quickly determination of disturbing gravity using wide-area polynomial approximation[J];Science of Surveying and Mapping;2009-04
7 FENG Wei①②,LIU Gen-you①,HAO Xiao-guang①(①Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 430077,China;②Graduate University of Chinese Academy of Sciences,Beijing 100049,China);Simulated analysis of the effect of gravity field to the fall point in free flight trajectory of ballistic missile[J];Science of Surveying and Mapping;2009-05
8 YANG Guo-lin①②,ZHANG Chuan-yin②,DANG Ya-min②(① Lanzhou Jiaotong University,Lanzhou 730070,China;②Chinese Academy of Survey and Mapping,Beijing 100039,China);Research on regional tectonic stress field based on EGM96 model and DTM data[J];Science of Surveying and Mapping;2009-06
9 LI Chun-hua①③,LUO Zhi-cai②,DENG Fang③,HUANG Ding-fa①(①School of Civil Engineering,Southwest Jiaotong University,Chengdu 610031,China; ②School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China; ③ChengDu City Institute of Surveying and Investigation,Chengdu 610081,China);Study on GPS level fitting methods based on grid model[J];Science of Surveying and Mapping;2009-S2
10 YUE Jian-li①,HE Zhi-tang①,ZHU Yi-qing②,ZHEN Yong-hong①,GAO Fu-cai①,FAN Qian-hong①(①The First Geodetic Surveying Brigade of SBSM,Xi'an 710054,China;②The Second Monitoring Center,China Earthquake Administration,Xi′an 710054,China);Study of groundwater settlement by absolute gravity measurement[J];Science of Surveying and Mapping;2010-02
China Proceedings of conference Full-text Database 7 Hits
1 Zheng Wei1,2, Xu Houze1, Zhong Min1, Yun Meijuan3, Zhou Xuhua1, Peng Bibo1 1. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China 2. Disaster Prevention Research Institute, Kyoto University, Uji, Kyoto 611-0011, Japan 3. Department of Applied Physics, Wuhan University of Science and Technology, Wuhan 430081, China;CHAMP Earth’s gravitational field recovery based on International Satellite-to-Satellite Tracking in the High-Low Mode[A];[C];2008
2 ZOU Xiancai1,LI Jiancheng1, LUO Jia1, XU Xinyu1 (School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, Wuhan, China, 430079);The Calibration of Onboard Accelerometer by Dynamic Method[A];[C];2008
3 Zheng Wei1,2, Xu Houze1, Zhong Min1, Yun Meijuan3, Zhou Xuhua1, Peng Bibo1 1. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China 2. Disaster Prevention Research Institute, Kyoto University, Uji, Kyoto 611-0011, Japan 3. Department of Applied Physics, Wuhan University of Science and Technology, Wuhan 430081, China;Improvement of “Digital Earth” Cognition based on the Satellite-to-Satellite Tracking associated with Satellite Gr avity Gradiometry Model[A];[C];2008
4 LIU Xinxue,MIAO Yuhong ZHENG Xiaolong (The Second Artillery Engineering College,Xian 710025);the Computation and Fitting of Vertical Deflection Molodensky Solution[A];[C];2010
5 Zeng Yanyan Yu Jinhai Wan Xiaoyun;Precision assessment of linear model on recovery of high-degree gravity field[A];[C];2011
6 Zheng Wei Xu Houze Zhong Min Yun Meijuan;Requirements Analysis of Next-Generation Gravity Satellite System in China[A];[C];2011
7 Dongyan Wei,Hong Yuan, Liang Li, Chao Yuan, Xiaokun Zhang Academy of OPTO-Electronics,Chinese Academy of Sciences, Beijing, China;Research on the visibility of the GNSS signal at the high-earth-orbit platform[A];[C];2013
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 Hsu Houtse (Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China);Satellite Gravity Missions-New Hotpoint in Geodesy[J];Developments In Surveying and Mapping;2001-03
2 CHEN Jun-yong(State Bureau of Surveying and Mapping,Beijing 100830,China);Recent Development in the Earth Gravity Field Determination by Modern LEO Satellite[J];Developments In Surveying and Mapping;2002-01
3 WU Xing, ZHANG Chuanding(Surveying and Mapping Institute of Information Engineering University, Zhengzhou 450052,China);The computation on a sort of integrals of the product of spherical harmonics and trigonometric functions[J];Science of Surveying and Mapping;2004-06
4 LU Xiao-lei①,SHAO Cheng-gang②,WANG Neng-chao①(①3Department of mathematics,Huazhong University of Science & Technology.Wuhan,Hubei,430074;②Department of Physics,Huazhong University of Science & Technology.Wuhan,Hubei,430074);Two methods for recovering gravitational potential from the ephemerides of CHAMP[J];Science of Surveying and Mapping;2005-05
5 SONG Lei~ ①② ,PENG BiBo~ ① ,ZHOU XuHua~ ① (①Key Laboratory of Dynamical Geodesy, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077;②The graduate student department of Chinese Academy of Sciences ,Beijing 100049);The effects of ICRS non-conservative forces acceleration by linear interpolation CHAMP satellte disconnected attitude data[J];Science of Surveying and Mapping;2006-01
6 CHANG Xiao-tao ①②, ZHANG Chuan-yin ②, DING jian ①②(① Laboratory of Dynamical Geodesy, Chinese Academy of Sciences, Wuhan, China 430077;② Chinese academy of surveying and mapping,Beijing 100039,China);Regularization error estimation of spherical harmonic coefficients from SGG observation[J];Science of Surveying and Mapping;2006-05
7 WU Xiao-ping(Institute of Surveying and Mapping,PLA information engineering university,Zhengzhou 450052,China);Title definition of quasi-geoid and some questions encountered in airborne gravimetry[J];Science of Surveying and Mapping;2006-06
8 ZHONG-Bo①,LUO Zhi-cai①②,WU Yun-long①,LUO-Jia①②(①School of Geodesy and Geomatics,Wuhan University;②The Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,Wuhan University,Wuhan 430079,China);Design and realization of the simulation analysis software for the major technology indexes of satellite-to-satellite tracking mission[J];Science of Surveying and Mapping;2008-03
9 ZHANG Xing-fu①,SHEN Yun-zhong②①Department of Surveying and Mapping GuangDong university of Technology,Guangzhou 510006,China;②Department of Surveying and Geomatics Tongji University Shanghai 200092,China);The influence of LEO satellite's initial state errors on gravity field recovery[J];Science of Surveying and Mapping;2009-03
10 XU Tian he, YANG Yuan xi, WANG Xing tao;Analysis and Use of CHAMP Accelerometry Data[J];Bulletin of Surveying and Mapping;2003-11
China Proceedings of conference Full-text Database 2 Hits
1 ZHANG Chuan-Ding HSU Houze WU Xing 1 Institute of Geodesy and Geophysics, Chinese Academy of Science, Wuhan 430077 2 Department of Geodesy, Zhengzhou Institute of Surveying and Mapping, Zhengzhou 450052;On the Torus Approach for Gobal Sherical Harmonic Computation[A];[C];2004
2 ZHENG Wei SHAO Chenggang LUO Jun Huazhong University of Science and Technology, Wuhan 430074;Research of Satellite in Near Polar and Low Earth Orbit Recovering Earth's Gravitational Field[A];[C];2004
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved