The Accuracy Analysis of Methods to solve the Geodetic Inverse Problem

- Journal title : Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
- Volume 29, Issue 4, 2011, pp.329-341
- Publisher : Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography
- DOI : 10.7848/ksgpc.2011.29.4.329

Title & Authors

The Accuracy Analysis of Methods to solve the Geodetic Inverse Problem

Lee, Yong-Chang;

Lee, Yong-Chang;

Abstract

The object of this paper is to compare the accuracy and the characteristic of various methods of solving the geodetic inverse problem for the geodesic lines which be in the standard case and special cases(antipodal, near antipodal, equatorial, and near equatorial situation) on the WGS84 reference ellipsoid. For this, the various algorithms (classical and recent solutions) to deal with the geodetic inverse problem are examined, and are programmed in order to evaluate the calculation ability of each method for the precise geodesic determination. The main factors of geodetic inverse problem, the distance and the forward azimuths between two points on the sphere(or ellipsoid) are determined by the 18 kinds of methods for the geodetic inverse solutions. After then, the results from the 17 kinds of methods in the both standard and special cases are compared with those from the Karney method as a reference. When judging these comparison, in case of the standard geodesics whose length do not exceed 100km, all of the methods show the almost same ability to Karney method. Whereas to the geodesics is longer than 4,000km, only two methods (Vincenty and Pittman) show the similar ability to the Karney method. In the cases of special geodesics, all methods except the Modified Vincenty method was not proper to solve the geodetic inverse problem through the comparison with Karney method. Therefore, it is needed to modify and compensate the algorithm of each methods by examining the various behaviors of geodesics on the special regions.

Keywords

Geodetic inverse problem;geodesic;special cases;Karney method;

Language

Korean

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