| 扰动重力水平分量对惯导系统的位置误差影响 |
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| 引用本文： | 管斌,孙中苗,吴富梅,刘晓刚.扰动重力水平分量对惯导系统的位置误差影响[J].武汉大学学报(信息科学版),2017,42(10):1474-1481. |
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| 作者姓名： | 管斌 孙中苗 吴富梅 刘晓刚 |
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| 作者单位： | 1.信息工程大学地理空间信息学院, 河南 郑州, 450052 |
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| 基金项目： | 国家自然科学基金41174017国家自然科学基金41304022国家自然科学基金41374083国家自然科学基金41674082 |
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| 摘 要： | 研究了不同运动状态下扰动重力水平分量（HDG）对高精度惯导系统（inertial navigation system，INS）的位置误差影响。首先推导了HDG对INS误差影响的状态空间方程，进而推导出3种运动条件下INS位置误差与HDG之间的解析关系式，设计了基于惯导解算求解上述影响的方法。在匀速运动条件下，分别通过解析式与惯导解算两种方法计算了相同HDG引起的INS位置误差。解析式计算结果表明，±80 mGal（1 mGal=10-5 m/s2）范围内变化的HDG约可引起最大约3 000 m的INS位置误差；对两种方法计算结果的比较显示，所得INS位置误差的量级与变化情况基本一致，两组结果验证了各自方法的有效性。
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| 关 键 词： | 扰动重力 惯性导航系统 位置误差 加速度 超高精度 |
| 收稿时间： | 2016-09-21 |
Influence of Horizontal Disturbing Gravity on Position Error in Inertial Navigation Systems |
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| Affiliation: | 1.Institute of Geography Spatial Information, Information Engineering University, Zhengzhou 450052, China2.State Key Laboratory of Geo-information Engineering, Xi'an 710054, China3.Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China |
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| Abstract: | 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. |
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