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A fourth order solution for geodesics on ellipsoids of revolution
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Enrico Mai
Published/Copyright:
October 18, 2010
Abstract
Geodesics on the surface of an ellipsoid of revolution may be represented by canonical equations. Applying known theorems, an integral of this equation system can be found. Its exact solution is given by a definite integral (quadrature). Using power series, this integral can be calculated with arbitrary precision. As an example, a fourth order solution will be presented, especially for geodetic applications.
Received: 2010-05-12
Accepted: 2010-09-02
Published Online: 2010-10-18
Published in Print: 2010-November
© de Gruyter 2010
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Keywords for this article
Geodesics;
ellipsoid of revolution;
canonical equations;
quadrature;
power series
Articles in the same Issue
- Direct geo-referencing of a static terrestrial laser scanner
- An adaptive Kalman-filtering approach for the calibration of finite difference models of mass movements
- Indoor multipath effect study on the Locata system
- A fourth order solution for geodesics on ellipsoids of revolution
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