UDC: 
DOI: 
10.22389/0016-7126-2021-972-6-17-25
1 Nyrtsov M.V.
2 Fleis M.E.
Year: 
№: 
972
Pages: 
17-25

Lomonosov Moscow State University (MSU)

1, 

Institute of Geography RAS

2, 
Abstract:
There are generally accepted classifications of cartographic projections of a sphere and an ellipsoid of revolution according to various criteria. The projections of a triaxial ellipsoid have a number of differences from those of a sphere and an ellipsoid of revolution; therefore, the existing classifications need to be clarified. The definitions of the main classes of cartographic projections of a sphere and an ellipsoid of revolution by the type of cartographic grid cannot be extended to those of a triaxial ellipsoid. At the same time, the traditional approach with the auxiliary surface is maintained. To obtain projections of a triaxial ellipsoid in transverse orientation, there is no need to recalculate through polar spherical coordinates as is done for those of a sphere and an ellipsoid of revolution. The transition is carried out by rotating the ellipsoid around the axes, which is much easier. In the classification of the projections of a triaxial ellipsoid according to the distortions, it is necessary to distinguish conformal, quasiconformal, equal-area projections and the ones which preserve lengths along the meridians.
The materials used in the article were made according to state assignments No. АААА-А19-119022190168-8 (M. E. Fleis) and АААА-А16-116032810094-9 (M. V. Nyrtsov).
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Citation:
Nyrtsov M.V., 
Fleis M.E., 
(2021) Classification of the triaxial ellipsoid projections. Geodesy and cartography = Geodezia i Kartografia, 82(6), pp. 17-25. (In Russian). DOI: 10.22389/0016-7126-2021-972-6-17-25
Publication History
Received: 26.06.2020
Accepted: 30.03.2021
Published: 20.07.2021

Content

2021 June DOI:
10.22389/0016-7126-2021-972-6

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