Applications of Complex Analysis to Spherical Coordinate Geometry

Details Applications of Complex Analysis to Spherical Coordinate Geometry Applications of Complex Analysis to Spherical Coordinate Geometry

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984qjras..25..126s&link_type=abstract

Quarterly Journal of the Royal Astronomical Society, Vol. 25, NO.2, P.126, 1984

Astronomy and Astrophysics

Astronomy

1

Scientific paper

Transformations between systems of spherical coordinates are obtained by mapping the sphere by stereographic projection on to the complex number plane. Rotations of the sphere can be identified with a particular class of bilinear transformations on the complex plane. A number of results pertaining to the images of great circles under stereographic projection is also derived.

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