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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41655

Title: Direct and Inverse Solutions with Geodetic Latitude in Terms of Longitude for Rhumb Line Sailing
Authors: Wei-Kuo Tseng;Michael A. Earle;Jiunn-Liang Guo
Contributors: 國立臺灣海洋大學:商船學系
Date: 2012-07
Issue Date: 2017-03-15T05:47:37Z
Publisher: Journal of Navigation
Abstract: Abstract: In this paper, equations are established to solve problems of Rhumb Line Sailing (RLS) on an oblate spheroid. Solutions are provided for both the inverse problem and the direct problem, thereby providing a complete solution to RLS. Development of these solutions was achieved in part by means of computer based symbolic algebra. The inverse solution described attains a high degree of accuracy for distance and azimuth. The direct solution has been obtained from a solution for latitude in terms of distance derived with the introduction of an inverse series expansion of meridian arc-length via the rectifying latitude. Also, a series to determine latitude at any longitude has been derived via the conformal latitude. This was achieved through application of Hermite's Interpolation Scheme or the Lagrange Inversion Theorem. Numerical examples show that the algorithms are very accurate and that the differences between original data and recovered data after applying the inverse or direct solution of RLS to recover the data calculated by the direct or inverse solution are very small. It reveals that the algorithms provided here are suitable for programming implementation and can be applied in the areas of maritime routing and cartographical computation in Graphical Information System (GIS) and Electronic Chart Display and Information System (ECDIS) environments.
Relation: 65(3)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41655
Appears in Collections:[商船學系] 期刊論文

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