重力插值重构在重力匹配导航中的应用研究  

Application of gravity interpolation reconstruction in gravity matching navigation

作　　者：吴睿盈 李东明[1] 李海兵[1] 郭子伟[1] WU Ruiying;LI Dongming;LI Haibing;GUO Ziwei(Beijing Institute of Aerospace Control Devices,Beijing 100854,China)

机构地区：[1]北京航天控制仪器研究所,北京100854

出　　处：《导航定位与授时》2024年第5期91-101,共11页Navigation Positioning and Timing

基　　金：国家自然科学基金(41976182)。

摘　　要：重力匹配导航的定位精度与重力基准图分辨率紧密相关,重力基准图可以通过插值算法细化重构,提高分辨率。为了验证重力基准图的细化重构是否可以有效提高定位精度,对多面函数插值法、Shepard插值法及综合Shepard插值法的插值效果进行了比较分析,并采用这3种插值算法对重力基准图进行细化重构,选用地形轮廓匹配(TERCOM)算法和迭代最近等值线点(ICCP)算法作为重力匹配算法,通过海上船测数据的离线仿真验证了插值处理后重力基准图的重力匹配导航效果。试验结果表明,使用3种插值算法将重力图分辨率由1′×1′提高到0.5′×0.5′后,TERCOM算法和ICCP算法的定位精度分别提升了约30%和20%,但分辨率提高到0.25′×0.25′后,定位精度不再有明显提升。此外,3种插值算法的插值效果虽不尽相同,但导航结果却具有一致性,试验结果也表明,当基准图分辨率提升仅为1倍时,插值算法的选择对导航结果影响甚微。The positioning accuracy of gravity matching navigation is closely related to the resolution of the gravity reference map,and the gravity reference map can be reconstructed by an interpolation algorithm to improve the resolution.To verify whether the positioning accuracy is effectively improved by the refined gravity reference map reconstruction,the interpolation effects of multifaceted function interpolation,Shepard s interpolation and integrated Shepard s interpolation are compared and analysed.The three interpolation algorithms mentioned above are used to refine the gravity reference map,terrain contour matching(TERCOM)algorithm and iterated closest contour point(ICCP)algorithm are selected as the gravity matching algorithms.The gravity matching navigation accuracy of the interpolated gravity map is verified by off-line simulation of marine ship survey data.The experimental results show that after the resolution of the gravity map is increased from 1′×1′to 0.5′×0.5′by the three interpolation algorithms,the positioning accuracy of the TERCOM algorithm and the ICCP algorithm can be improved by about 30%and 20%,respectively.However,after the resolution is increased to 0.25′×0.25′,the positioning accuracy is no longer significantly improved.In addition,although the interpolation effects of the three interpolation algorithms are different from each other,the navigation results are consistent,and the experimental results also show that the selection of the interpolation algorithms has little effect on the navigation results when the resolution of the reference map is only doubled.

关 键 词：重力匹配导航 惯性导航系统 插值算法 重力匹配算法 

分 类 号：V249.328[航空宇航科学与技术—飞行器设计]