Intersections on the sphere and ellipsoid |
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| Authors: | L E Sjöberg |
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| Institution: | (1) Royal Institute of Technology, Division of Geodesy, S-100 44 Stockholm, Sweden e-mail: sjoberg@geomatics.kth.se; Tel.: +46-8-790-73-30; Fax: +46-8-790-73-43, SE |
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| Abstract: | The problems of intersection on the sphere and ellipsoid are studied. On the sphere, the problem of intersection along great
circles is explicitly solved. On the ellipsoid, each of the problems of intersection along arcs of constant azimuth, normal
sections and geodesic lines is solved without any limitation on arc length. In the last case the solution is based on the
Newton–Raphson method of iteration including numerical integration.
Received: 11 April 2001 / Accepted: 3 September 2001 |
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| Keywords: | : Intersection – Ellipsoid – Geodesic |
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