A fourth order solution for geodesics on ellipsoids of revolution

Enrico Mai

4 citations0/0 files storedJournal of Applied Geodesy

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Historical Geography and Cartography Mathematics and Applications Geophysics and Gravity Measurements

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.

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1975DIRECT AND INVERSE SOLUTIONS OF GEODESICS ON THE ELLIPSOID WITH APPLICATION OF NESTED EQUATIONS 1976Manuscripta Geodaetica 1971Computation of geodetic direct and indirect problems by computers accumulating increments from geodetic line elements 1970The computation of long geodesics on the ellipsoid by non-series expanding procedure 2009An integral for geodesic length 1824V. Solution of a geodetical problem

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2021Performance of a solution of the direct geodetic problem by Taylor series of Cartesian coordinates

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