Polar grid rumble route based on polar stereographic projection

doi:10.11947/j.AGCS.2019.20180134

Abstract

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

CLC Number:

P285.3

LIU Wenchao, BIAN Hongwei. Polar grid rumble route based on polar stereographic projection[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(1): 18-23.

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