Equal-Area Projections of the Triaxial Ellipsoid: First Time Derivation and Implementation of Cylindrical and Azimuthal Projections for Small Solar System Bodies.
ISBN 978-85-88783-11-9
Authors
1Nyrtsov, M.; 2Fleis, M.; 3Borisov, M.; 4Stooke, P.
1MOSCOW STATE UNIVERSITY OF GEODESY AND CARTOGRAPHY (MIIGAIK) Email: m_nyrtsov@miigaik.ru
2INSTITUTE OF GEOGRAPHY, RUSSIAN ACADEMY OF SCIENCES Email: maria@geocnt.geonet.ru
3INSTITUTE OF GEOGRAPHY, RUSSIAN ACADEMY OF SCIENCES Email: maria@geocnt.geonet.ru
4THE UNIVERSITY OF WESTERN ONTARIO Email: pjstooke@uwo.ca
Abstract
Many small solar system bodies such as asteroids or small satellites have irregular shapes, often approximated by the reference surface of a triaxial ellipsoid. Map projections for the triaxial ellipsoid are needed to present the incoming data in the form of maps. In this paper the formu-lae of equal-area cylindrical and azimuthal projections of the triaxial ellipsoid were derived and practically implemented for the first time using as an example the asteroid 253 Mathilde. This paper is the final in a series of papers devoted to all main classes of projections of the triaxial ellipsoid. Prior to this, the authors obtained equidistant along meridians projection and Jacobi conformal projection for the triaxial ellipsoid.