Solving the geodesics on the ellipsoid as a boundary value problem

The geodesic between two given points on an ellipsoid is determined as a numerical solution of a boundary value problem. The secondorder ordinary differential equation of the geodesic is formulated by means of the Euler-Lagrange equation of the calculus of variations. Using Taylor’s theorem, the bou...

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Bibliographic Details
Main Authors: Panou G., Delikaraoglou D., Korakitis R.
Format: Article
Language:English
Published: Sciendo 2013-03-01
Series:Journal of Geodetic Science
Subjects:
Online Access:https://doi.org/10.2478/jogs-2013-0007