Mathematical Cartography. Projections of the Triaxial Ellipsoid

The textbook summarizes knowledge about the triaxial ellipsoid geometry and its map projections, both existing and new. A new conceptual apparatus for describing cylindrical, conical and azimuth projections is reported. A classification of the triaxial ellipsoid projections is presented. The distortions of the projections were evaluated. The authors set the task of deriving new or adaptation of existing map projections of the triaxial ellipsoid, which would allow to make compilation both global and regional maps of celestial bodies. The textbook is intended to study the discipline “Mathematical cartography”. It can be also used as a manual by students in related specialties, graduate students and researchers.