Vertex Latitudes on Ellipsoid Geodesics

An invariant of ellipsoidal geodesics, called the Fundamental Equation, is applied to the navigational problem of finding the extreme latitude on great circle (geodesic) routes. Analysis is provided to show the kind and amount of error induced by modeling the Earth as a sphere versus the WGS-84 elli...

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Veröffentlicht in:	SIAM review 1996-12, Vol.38 (4), p.637-644
1. Verfasser:	Wood, T. E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Azimuth Case Studies from Industry Classical differential geometry Differential geometry Ellipsoids Exact sciences and technology Geodesy Geodetic coordinates Geometric planes Geometry Geometry, differential geometry, and topology Great circles Mathematical methods in physics Mathematical models Mathematics Navigation Physics Sciences and techniques of general use Tangents Vertices
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Zusammenfassung:	An invariant of ellipsoidal geodesics, called the Fundamental Equation, is applied to the navigational problem of finding the extreme latitude on great circle (geodesic) routes. Analysis is provided to show the kind and amount of error induced by modeling the Earth as a sphere versus the WGS-84 ellipsoid.
ISSN:	0036-1445 1095-7200
DOI:	10.1137/S0036144595283447