测绘学报

• 学术论文 •    

基于地球椭球模型的符号形式的航迹计算法

王瑞,李厚朴   

  1. 海军工程大学
  • 收稿日期:2009-06-15 修回日期:2010-01-08 出版日期:2010-04-22 发布日期:2010-04-22
  • 通讯作者: 李厚朴

Symbolic Expressions of the Track Calculation Methods Based on the Ellipsoidal Model

  • Received:2009-06-15 Revised:2010-01-08 Online:2010-04-22 Published:2010-04-22

摘要: 分析了传统的航迹计算法存在的缺陷,为提高航迹计算的精度,引入了符号形式的子午线弧长正反解公式,推导出了基于地球椭球模型的改进的墨卡托航法;从中分纬度的几何定义出发,导出了地球椭球体上改进的中分纬度公式,在此基础上给出了改进的中分纬度航法。本文给出的算法公式均为符号形式,可以解决航海中不同参考椭球下的航迹精确计算问题,从而为高精度船舶自动化导航的发展提供了理论模型。

Abstract: The deficiencies of the traditional track calculation methods are analyzed in this paper. In order to improve the accuracy of track calculation, the symbolic formulae of meridian arc’s forward and inverse solution are introduced, then the modified Mercator sailing method is derived based on the ellipsoidal model. The calculation formula of middle latitude is derived from its geometrical definition based on an elliptical earth, and the modified middle latitude sailing method is also available. The two methods derived by this paper are both symbolic expressions, so they could solve the problem of accurate track calculation when different referenced ellipsoids are used, and thereby provide a theoretical model for the development of accurate automatic navigation.