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The theory of geodesics on some surface of revolution
Author(s)
Hama, Rattanasak
Date Issued
January 1, 2017
Type
Article
Abstract
We study the properties of the geodesics on a Randers rotational surface of revolution by using Zermelo navigation data (hW,), where h is the induced Riemannian metric on the surface of revolution and W is the rotational wind. We are in special interested in the half-period function that can be computed by similar methods to the Riemannian case. Our result can be applied to find the structure of the cut locus of a Randers rotational 2-sphere of revolution.
Citation
Current Applied Science and Technology, 17(1), 42-47, 2017