Journal cover Journal topic
Proceedings of the ICA
Journal topic
Volume 1
Proc. Int. Cartogr. Assoc., 1, 84, 2018
https://doi.org/10.5194/ica-proc-1-84-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Proc. Int. Cartogr. Assoc., 1, 84, 2018
https://doi.org/10.5194/ica-proc-1-84-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

  16 May 2018

16 May 2018

Conic projections of the triaxial ellipsoid: the projections for regional mapping of celestial bodies

Maxim V. Nyrtsov1, Maria E. Fleis2, Michael M. Borisov2, and Philip J. Stooke3 Maxim V. Nyrtsov et al.
  • 1Lomonosov Moscow State University, Moscow, Russia
  • 2Institute of Geography, Russian Academy of Sciences, Moscow, Russia
  • 3The University of Western Ontario, London, ON, Canada

Keywords: coordinate system, triaxial ellipsoid, map projection, conic projection, Gaussian coefficients

Abstract. Different distortion classes of the azimuthal and cylindrical projections of the triaxial ellipsoid have been considered in our previous works. These projections make it possible to construct maps of the celestial bodies in planetary scale. However, for regions in the middle latitudes it is advisable to use a conic projection which was not developed until now. In this investigation we describe the development of three conic projections of a triaxial ellipsoid: a conic projection with true scale along meridians, an equal-area conic projection and a quasi-conformal conic projection. In derivation of the projections we use an elliptical cone tangent to a triaxial ellipsoid. The projections are calculated and maps in these projections are created for the first time.

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