Computer Science – Numerical Analysis
Scientific paper
May 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gekar........6k&link_type=abstract
Geodeziia i Kartografiia, May 1981, p. 6-8. In Russian.
Computer Science
Numerical Analysis
Celestial Geodesy, Geodetic Satellites, Geodetic Surveys, Spheroids, Triangulation, Computer Techniques, Earth (Planet), Numerical Analysis, Spaceborne Photography
Scientific paper
In order to evaluate geometrical distortions of images obtained by satellite television systems, it is necessary to know the lengths, areas, and angles of triangles specified by three points on the surfaces of the spheroidal earth. This paper presents approximate formulas for calculating the lengths, angles, and areas of spheroidal triangles, whose vertices are specified by geographic coordinates. The analysis is carried out relative to auxiliary angular coordinates on a single sphere; the resulting formulas are obtained with allowance for the ellipsoidality of the spheroid. This method was successfully used to evaluate geometrical distortions of images of the earth's surface obtained by the Meteor-Priroda space system.
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