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Doklady Earth Sciences - The approximation of the Earth’s physical surface by a mathematical surface is commonly carried out by a sphere or an ellipsoid of revolution. A triaxial ellipsoid... 相似文献
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It is proved that the projection of a triaxial ellipsoid with rectilinear meridians orthogonal to the rectilinear equator cannot be strictly conformal. The proof is based on the fact that due to the degeneration of the horizontal coordinate in latitude the relation between arc differentials in the projection depends linearly on the relation between the latitude and longitude differentials, but due to the dependence of the vertical coordinate on both latitude and longitude, the direction and certain value of this relation is retained upon the integration path selection. Other directions do not keep the relation between differentials of the corresponding arcs in the triaxial ellipsoid and in the projection plane. A projection keeping the angle between the parallel and the meridian obtained by the integration path selection by the initial meridian and then by the parallel is offered. 相似文献
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Maxim V. Nyrtsov Maria E. Fleis Michael M. Borisov Philip J. Stooke 《The Cartographic journal》2013,50(2):114-124
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 formulae 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. Before this, the authors obtained equidistant along meridians projection and Jacobi conformal projection for the triaxial ellipsoid. 相似文献
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