极区惯导编排中地球近似模型的适用性分析

doi:10.11947/j.AGCS.2019.20180073

测绘学报 ›› 2019, Vol. 48 ›› Issue (3): 303-312.doi: 10.11947/j.AGCS.2019.20180073

极区惯导编排中地球近似模型的适用性分析

林秀秀, 卞鸿巍, 马恒, 王荣颖

海军工程大学电气工程学院, 湖北武汉 430033

收稿日期:2018-03-12 修回日期:2018-11-10 出版日期:2019-03-20 发布日期:2019-04-10
通讯作者: 卞鸿巍 E-mail:4985726@qq.com
作者简介:林秀秀(1994-),女,硕士,研究方向为惯性导航技术及应用。E-mail:741083098@qq.com
基金资助:
国家自然科学基金（41876222；41506220）

Applicability analysis of the approximate model of the Earth with the arrangement of INS in polar region

LIN Xiuxiu, BIAN Hongwei, MA Heng, WANG Rongying

Electrical Engineering College, Navy University of Engineering, Wuhan 430033, China

Received:2018-03-12 Revised:2018-11-10 Online:2019-03-20 Published:2019-04-10
Supported by:
The National Natural Science Foundation of China (Nos. 41876222;41506220)

摘要/Abstract

摘要：

极区基于地球第二近似椭球模型横向坐标系编排复杂，编排本身存在原理性误差，而地球第一近似球体模型虽然存在几何误差，但在极区惯导编排简单，且相对于中低纬度地区，第一近似几何误差较小。惯导极区编排地球模型的选用问题随着极区惯导的深入研究逐渐凸显。针对这一问题，在定义适用于极区的地球近似模型的基础上，推导建立了基于地球第一近似模型几何误差引起的惯导系统误差方程，通过仿真分析对比地球近似模型的惯导误差，分析地球近似模型的适用性。仿真结果表明，地球第一近似模型几何误差会随惯导运行时间发散，而第二近似模型的编排误差随时间变化不大，当惯导运行时间长则地球第一近似模型不再适用。

关键词: 极区导航, 惯导误差分析, 地球近似模型, 地球第一近似, 地球第二近似

Abstract:

The arrangement of horizontal coordinate system based on the Earth's second approximate ellipsoid model is complicated in polar region, the arrangement itself has the principle error, While the first approximate sphere model has geometric errors, it has simple arrangement in polar regions, and the geometric error is smaller than that in the middle and low latitudes. The selection of the Earth model is becoming more and more prominent with the intensive study of the inertial navigation in polar region. To solve this problem, based on the definition of the Earth approximate model, the system error equations of SINS based on the first approximate model of the Earth is derived. Then comparing the inertial error of the Earth approximate model with the simulation and analyzing the applicability of the Earth approximate model. The simulation results show that the geometric errors of the first approximate model will accumulate with time, while the errors of the second approximate model change little with time. When the inertial navigation run in a long time, the first approximate model of the Earth is no longer suitable for polar area.

Key words: polar navigation, error analysis of inertial navigation, Earth approximate model, Earth first approximation, Earth second approximation

中图分类号:

U666.1
P228

林秀秀, 卞鸿巍, 马恒, 王荣颖. 极区惯导编排中地球近似模型的适用性分析[J]. 测绘学报, 2019, 48(3): 303-312.

LIN Xiuxiu, BIAN Hongwei, MA Heng, WANG Rongying. Applicability analysis of the approximate model of the Earth with the arrangement of INS in polar region[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(3): 303-312.

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极区惯导编排中地球近似模型的适用性分析

Applicability analysis of the approximate model of the Earth with the arrangement of INS in polar region

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