﻿ 基于极球面投影的极区格网等角航线
 文章快速检索 高级检索

1. 中国人民解放军91550部队, 辽宁 大连 116023;
2. 海军工程大学, 湖北 武汉 430033

Polar grid rumble route based on polar stereographic projection
LIU Wenchao1 , BIAN Hongwei2
1. Unit 91550 of PLA, Dalian 116023, China;
2. Naval University of Engineering, Wuhan 430033, China
Foundation support: The National Natural Science Foundation of China (No. 41506220)
First author: LIU Wenchao(1988-), male, engineer, majors in navigation guidance and control. E-mail:wenchao19880102@126.com
Abstract: Traditional polar navigation usually uses grid navigation to implement great circle, which could cause problems that different grid direction of great circle makes against navigation control and great circle is not straight lines on the polar projection lead to principle error.To solve these problems, considering the idea that it is easier to navigaition control and plotting if the rumble route in the lower latitudes is straight lines on the mercator projection, a rumble route called grid rumble route which are straight lines on polar stereographic projection is suggested.Firstly, polar stereographic projection based on double projection and grid navigation are studied.Then the definition of grid rumble route and route equation is presented.Finally, compitational method of distance and grid direction for grid rumble route is provided.From the theoretical analysis and simulations, grid rumble route is approximate to great circle and great ellipse routes, the navigation distance is relatively short; thus, they are straight lines on the polar stereographic projection and grid direction is equal everywhere. Moreover, they can be used in conjunction with grid navigation method and polar stereographic projection, more applicable for the polar navigation.
Key words: polar stereographic projection     great circle     grid navigation     grid direction     grid rumble route

1 极区极球面投影及格网导航 1.1 基于双重投影的极区极球面投影方法

(1)

(2)
 图 1 极球面投影示意图 Fig. 1 Diagram of polar stereographic projection

(3)
 图 2 椭球极球面投影仿真图(纬度85°N-90°N) Fig. 2 Simulation of ellipsoidal polar stereographic projection

1.2 格网导航方法

(4)
 图 3 格网导航示意图 Fig. 3 Diagram of grid navigation

2 格网等角航线定义及航线方程

(5)
 图 4 格网等角航线 Fig. 4 Grid rumble route

(6)

(7)

(8)

3 格网等角航线航向角和航程计算方法 3.1 格网等角航线航向角计算方法

(9)

3.2 格网等角航线航程计算方法

(10)

(11)

(12)

4 算例分析

 图 5 格网等角航线轨迹 Fig. 5 Position track of grid rumble route

 n mile 格网等角航线 大椭圆航线 大圆航线(球体半径6 366 707 m) 大圆航线(球体半径为极点处曲率半径) 总航程 2 078.26 2 077.78 2 067.79 2 078.47

 图 6 格网航向角计算结果比较 Fig. 6 Result comparison of grid direction

5 结论

﻿

http://dx.doi.org/10.11947/j.AGCS.2019.20180134

0

#### 文章信息

LIU Wenchao, BIAN Hongwei

Polar grid rumble route based on polar stereographic projection

Acta Geodaetica et Cartographica Sinica, 2019, 48(1): 18-23
http://dx.doi.org/10.11947/j.AGCS.2019.20180134