Geodesics on an ellipsoid

Known as: Ellipsoidal trigonometry, Earth geodesics, Earth's geodesic 
The study of geodesics on an ellipsoid arose in connection with geodesyspecifically with the solution of triangulation networks. Thefigure of the… (More)
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Topic mentions per year

Topic mentions per year

1986-2017
051019862017

Papers overview

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2013
2013
This paper presents the Saddle Vertex Graph (SVG), a novel solution to the discrete geodesic problem. The SVG is a sparse… (More)
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2013
2013
Geodesics have a fundamental role in the geometry of curved surfaces, as well as in discrete geometry. We present the time scale… (More)
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2010
2010
The article is the introductory study for one of the fundamental geo-informatics operations the reciprocal position calculation… (More)
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2008
2008
We propose a simple method of explicit description of families of closed geodesics on a triaxial ellipsoid Q that are cut out by… (More)
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2008
2008
In this article, we study the geodesic problem in a generalized metric space, in which the distance function satisfies a relaxed… (More)
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2008
2008
We propose a simple method of explicit description of families of closed geodesics on a triaxial ellipsoid Q that are cut out by… (More)
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2008
2008
We prove that any real doubly periodic geodesic on an n dimensional ellipsoid with distinct semiaxes and caustic parameters is… (More)
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2007
2007
We describe the geometry of geodesics on a Lorentz ellipsoid: give explicit formulas for the first integrals (pseudo-confocal… (More)
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2005
2005
Closed geodesic lines on an ellipsoid in d-dimensional Euclidean space are considered. Explicit algebro-geometric condition for… (More)
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1996
1996
An invariant of ellipsoidal geodesics, called the Fundamental Equation, is applied to the navigational problem of finding the… (More)
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