GUAN Bin, SUN Zhongmiao, WU Fumei, LIU Xiaogang. Influence of Horizontal Disturbing Gravity on Position Error in Inertial Navigation Systems[J]. Geomatics and Information Science of Wuhan University, 2017, 42(10): 1474-1481. DOI: 10.13203/j.whugis20160006
Citation: GUAN Bin, SUN Zhongmiao, WU Fumei, LIU Xiaogang. Influence of Horizontal Disturbing Gravity on Position Error in Inertial Navigation Systems[J]. Geomatics and Information Science of Wuhan University, 2017, 42(10): 1474-1481. DOI: 10.13203/j.whugis20160006

Influence of Horizontal Disturbing Gravity on Position Error in Inertial Navigation Systems

Funds: 

The National Natural Science Foundation of China 41174017

The National Natural Science Foundation of China 41304022

The National Natural Science Foundation of China 41374083

The National Natural Science Foundation of China 41674082

More Information
  • Author Bio:

    GUAN Bin, master, engineer, specializes in satellite altimetry and inertial navigation. E-mail: pershingb@gmail.com

  • Received Date: September 20, 2016
  • Published Date: October 04, 2017
  • The influence of horizontal disturbing gravity (HDG) on the positional error of high-precision Inertial Navigation Systems (INSs) was studied under different conditions of movement. A space-state equation expressing INS error with HDG was deduced and analytic expressions of INS position error with HDG were deduced under three conditions of movement. Additionally, a method of computing above influence based on inertial navigation calculation is designed. Under the condition of uniform motion, INS position error caused by the same HDG was calculated through analytic expressions and inertial navigation calculations. The results from analytic expressions show that disturbing gravity varied between ±80 mGal (1 mGal = 10-5 m/s2) causing about 3 000 m INS positional error at the maximum. A comparison of the results from two methods show that the level and change in INS positional error are basically consistent while the validity of each method was verified by these results.
  • [1]
    Jekeli C, Lee J K, Kwon J H. Modeling Errors in Upward Continuation for INS Gravity Compensation[J]. Journal of Geodesy, 2007, (81): 297-309 doi: 10.1007/s00190-006-0108-y
    [2]
    Jekeli C. Precision Free-inertial Navigation with Gravity Compensation by an Onboard Gradiometer[J]. Journal of Guidance, Control, and Dynamics, 2006, 29(3): 704-713 doi: 10.2514/1.15368
    [3]
    Jordan S K. Effects of Geodetic Uncertainties on a Damped Inertial Navigation System[J]. IEEE Transactions on Aerospace and Electronic Systems, 1973, AES-9(5): 741-752 doi: 10.1109/TAES.1973.309774
    [4]
    Vanderwerf K. Schuler Pumping of Inertial Velocity Errors due to Gravity Anomalies along a Popular North Pacific Airway[C]. The Position Location and Navigation Symposium, Atlanta, US, 1996
    [5]
    Grejner-Brzezinska D A, Yi Yudan, Toth C, et al. On the Improved Gravity Compensation in Inertial Navigation[J]. Photogrammetric Engineering & Remote Sensing, 2004, 6(8): 663-664 http://stacks.iop.org/0957-0233/27/i=12/a=125007?key=crossref.0b2d510537feadd49c00d66ad3f73915
    [6]
    Kwon J H, Jekeli C. Gravity Requirements for Compensation of Ultra-Precise Inertial Navigation[J]. The Journal of Navigation, 2005, 58(3): 479-492 doi: 10.1017/S0373463305003395
    [7]
    金际航, 边少锋.重力扰动对惯性导航系统的位置误差影响分析[J].武汉大学学报·信息科学版, 2010, 35(1): 30-32 http://ch.whu.edu.cn/CN/abstract/abstract819.shtml

    Jin Jihang, Bian Shaofeng. Analysis of Inertial Navigation System Positioning Error Caused by Gravity Disturbance[J]. Geomatics and Information Science of Wuhan University, 2010, 35(1): 30-32 http://ch.whu.edu.cn/CN/abstract/abstract819.shtml
    [8]
    李姗姗, 吴晓平, 王凯.扰动重力矢量对惯性导航系统的误差影响[J].大地测量与地球动力学, 2010, 30(3): 142-146 http://youxian.cnki.com.cn/yxdetail.aspx?filename=WHCH201710020&dbname=CJFDPREP

    Li Shanshan, Wu Xiaoping, Wang Kai. Error Effect of Disturbing Gravity Vector on Inertial Navigation System[J]. Journal of Geodesy and Geodynamics, 2010, 30(3): 142-146 http://youxian.cnki.com.cn/yxdetail.aspx?filename=WHCH201710020&dbname=CJFDPREP
    [9]
    卢鑫, 练军想, 吴美平.高精度舰载惯性导航系统的重力影响研究[J].导航与控制, 2010, 9(4): 15-21 http://dhykz.zghtqk.com/ch/reader/view_abstract.aspx?file_no=201004004&flag=1

    Lu Xin, Lian Junxiang, Wu Meiping. Research of Gravity Error Compensation in Marine Inertial Navigation System[J]. Navigation and Control, 2010, 9(4): 15-21 http://dhykz.zghtqk.com/ch/reader/view_abstract.aspx?file_no=201004004&flag=1
    [10]
    尧颖婷, 沈晓蓉, 邹尧, 等.捷联惯性导航系统重力扰动影响分析[J].大地测量与地球动力学, 2011, 31(6): 159-163 http://www.cnki.com.cn/Article/CJFDTOTAL-DKXB201106037.htm

    Yao Yingting, Shen Xiaorong, Zou Yao, et al. Analysis of Gravity Disturbance Influence on Strapdown Inertial Navigation System[J]. Journal of Geodesy and Geodynamics, 2011, 31(6): 159-163 http://www.cnki.com.cn/Article/CJFDTOTAL-DKXB201106037.htm
    [11]
    李卓, 闫海蛟.中国海及邻域重力场异常的惯导系统误差分析[J].青岛大学学报(自然科学版), 2004, 17(1): 20-25 http://www.cnki.com.cn/Article/CJFDTOTAL-QDDD200401005.htm

    Li Zhuo, Yan Haijiao. INS Error Analysis of China Sea and Its Adjacent Regions Based on Gravitation Field Anomaly[J]. Journal of Qingdao University (Natural Science Edition), 2004, 17(1): 20-25 http://www.cnki.com.cn/Article/CJFDTOTAL-QDDD200401005.htm
    [12]
    陈永冰, 边少锋, 刘勇.重力异常对平台式惯性导航系统误差的影响分析[J].中国惯性技术学报, 2005, 13(6): 21-25 http://www.cnki.com.cn/Article/CJFDTOTAL-ZGXJ200506005.htm

    Chen Yongbing, Bian Shaofeng, Liu Yong. Analysis for Gravity Anomaly's Influence on Platform INS Error[J]. Journal of Chinese Inertial Technology, 2005, 13(6): 21-25 http://www.cnki.com.cn/Article/CJFDTOTAL-ZGXJ200506005.htm
    [13]
    郭恩志, 房建成, 俞文伯.一种重力异常对弹道导弹惯性导航精度影响的补偿方法[J].中国惯性技术学报, 2005, 13(3): 30-33. http://www.cnki.com.cn/Article/CJFDTOTAL-ZGXJ200503007.htm

    Guo Enzhi, Fang Jiancheng, Yu Wenbo. Compensation for Errors of Ballistic Missile Caused by Gravity Abnormality[J]. Journal of Chinese Inertial Technology, 2005, 13(3): 30-33 http://www.cnki.com.cn/Article/CJFDTOTAL-ZGXJ200503007.htm
    [14]
    李斐, 束蝉方, 陈武.高精度惯性导航系统对重力场模型的要求[J].武汉大学学报·信息科学版, 2006, 31(6): 508-511 http://ch.whu.edu.cn/CN/abstract/abstract2479.shtml

    Li Fei, Shu Chanfang, Chen Wu. The Requirement of Gravity Model for INS with High Precision[J]. Geomatics and Information Science of Wuhan University, 2006, 31(6): 508-511 http://ch.whu.edu.cn/CN/abstract/abstract2479.shtml
    [15]
    吴太旗, 边少锋, 蒋勃, 等.重力场对惯性导航定位误差影响研究与仿真[J].测绘科学技术学报, 2006, 23(5): 341-344 http://www.cnki.com.cn/Article/CJFDTOTAL-JFJC200605008.htm

    Wu Taiqi, Bian Shaofeng, Jiang Bo, et al, The Influence of Gravity Field on INS Positioning Error and its Simulation[J]. Journal of Zhengzhou Institute of Surveying and Mapping, 2006, 23(5): 341-344 http://www.cnki.com.cn/Article/CJFDTOTAL-JFJC200605008.htm
    [16]
    李胜全, 欧阳永忠, 常国宾, 等.惯性导航系统重力扰动矢量补偿技术[J].中国惯性技术学报, 2012, 20(4): 410-413 http://www.cnki.com.cn/Article/CJFDTOTAL-ZGXJ201204008.htm

    Li Shengquan, Ouyang Yongzhong, Chang Guobin, et al. Compensation Technology of Gravity Disturbance Vector in Inertial Navigation System[J]. Journal of Chinese Inertial Technology, 2012, 20(4): 410-413 http://www.cnki.com.cn/Article/CJFDTOTAL-ZGXJ201204008.htm
    [17]
    Wang Hao, Xiao Xuan, Deng Zhihong, et al. The Influence of Gravity Disturbance on High-precision Long-time INS and Its Compensation Method[C]. Fourth International Conference on Instrumentation and Measurement, Computer, Communication and Control, Harbin, China, 2014
    [18]
    Wang Jing, Yang Gongliu, Li Xiangyun, et al. Research on Time Interval of Gravity Compensation for Airborne INS[C]. The 34th Chinese Control Conference, Hangzhou, China, 2015
    [19]
    Fang Jiancheng, Chen Linzhouting, Yao Jifeng. An Accurate Gravity Compensation Method for High-Precision Airborne POS[J]. IEEE Transactions on Geoscience and Remote Sensing, 2014, 52(8): 4 564-4 573 doi: 10.1109/TGRS.2013.2282423
    [20]
    Titterton D H, Weston J L. Strapdown Inertial Navigantion Technology[M]. Lexington, Massachusetts, USA: American Institute of Aeronautics and Astronautics, Inc, 2004
    [21]
    赵忠, 王鹏.高精度惯性导航系统垂线偏差影响与补偿[J].中国惯性技术学报, 2013, 21(6): 701-705 http://www.cnki.com.cn/Article/CJFDTOTAL-ZGXJ201306001.htm

    Zhao Zhong, Wang Peng. Analysis and Compensation of Vertical Deflection Effect on High Accuracy Inertial Navigation System[J]. Journal of Chinese Inertial Technology, 2013, 21(6): 701-705 http://www.cnki.com.cn/Article/CJFDTOTAL-ZGXJ201306001.htm
    [22]
    Pavlis N K, Holmes S A, Kenyon S C, et al. The Development and Evaluation of the Earth Gravitational Model 2008 (EGM2008)[J]. Journal of Geophysical Research: Solid Earth (1978-2012), 2012, 117(B4) http://adsabs.harvard.edu/abs/2012JGRB..117.4406P
    [23]
    Jekeli C. Inertial Navigation Systems with Geodetic Applications[M]. Berlin, Germany: Walter de Gruyter, 2001:51-53
  • Related Articles

    [1]WU Chunjun, SUN Yueqiang, WANG Xianyi, BAI Weihua, MENG Xiangguang, DU Qifei, WANG Dongwei, LI Fu. Adjustment of GPS Flex Power and Its Interference Analysis Based on FY-3D Satellite[J]. Geomatics and Information Science of Wuhan University, 2023, 48(5): 687-693. DOI: 10.13203/j.whugis20200569
    [2]Yin Gang, Zhang Yingtang, Shi Zhiyong, Li Zhining. Real-time Compensation Method of Magnetic Heading Perturbations Based on Magnetic Anomaly Inversion[J]. Geomatics and Information Science of Wuhan University, 2016, 41(7): 978-982. DOI: 10.13203/j.whugis20140260
    [3]HUANG Shuqiang, FU Zhongliang. A Channel Assignment Algorithm Based on Interference Avoiding in Wireless Mesh Networks[J]. Geomatics and Information Science of Wuhan University, 2013, 38(2): 248-251.
    [4]ZHANG Bo, ZHANG Hong, WANG Ziwei, WANG Chao. Electromagnetic Model Used for Building Height Retrieval by Single High Resolution SAR Image[J]. Geomatics and Information Science of Wuhan University, 2012, 37(12): 1460-1463.
    [5]GUO Wenfei, ZHENG Jiansheng, ZHANG Tisheng, LI Chaoran. A Space-Frequency Adaptive Processing Algorithm for GPS Radio Frequency Interference Suppression[J]. Geomatics and Information Science of Wuhan University, 2011, 36(11): 1348-1352.
    [6]HAN Tianzhu, CAO Jianping, LU Mingquan. Anti-interference Antenna Based Near-Far Effect Mitigation Method[J]. Geomatics and Information Science of Wuhan University, 2011, 36(10): 1222-1225.
    [7]ZHAO Yang, LI Guangxia, CHANG Jiang, LIU Yun. Research on Electromagnetic Environment of Satellite Navigation in S-band[J]. Geomatics and Information Science of Wuhan University, 2011, 36(10): 1213-1217.
    [8]YIN Hui, ZHANG Xiaohong, ZHANG Xiaowu, LIU Xingfa. Interference Analysis to Aerial Flight Caused by UHV Lines Using Airborne GPS[J]. Geomatics and Information Science of Wuhan University, 2009, 34(7): 774-777.
    [9]HUANG Motao, ZHAI Guojun, OUYANG Yongzhong, REN Laiping. On Error Compensation in Marine Magnetic Survey[J]. Geomatics and Information Science of Wuhan University, 2006, 31(7): 603-606.
    [10]Li Shaoxin. Magnetic Monopoles, Maxwell's Equations and Electromagnetic Picture[J]. Geomatics and Information Science of Wuhan University, 1987, 12(3): 86-90.

Catalog

    Article views PDF downloads Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return