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Jacobi Conformal Projection of the Triaxial Ellipsoid: New Projection for Mapping of Small Celestial Bodies

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Cartography from Pole to Pole

Part of the book series: Lecture Notes in Geoinformation and Cartography ((ICA))

Abstract

In this paper a new technique for recalculating geographic coordinates of a triaxial ellipsoid to elliptical and then to rectangular coordinates of the Jacobi conformal projection is considered. Coordinate lines of the elliptical system and the cartographical grid with the parallels passing through the circular points on the Jacobi projection are shown. This new technique allows us to achieve the conformal mapping of small celestial bodies. A map of asteroid 25143 Itokawa in the Jacobi conformal projection, the first ever published, and a map of asteroid 433 Eros created by the authors in the transverse conformal cylindrical projection of a triaxial ellipsoid are presented for comparison. Asteroids 25143 Itokawa and 433 Eros are near-Earth objects.

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Correspondence to Maxim V. Nyrtsov .

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Nyrtsov, M.V., Fleis, M.E., Borisov, M.M., Stooke, P.J. (2014). Jacobi Conformal Projection of the Triaxial Ellipsoid: New Projection for Mapping of Small Celestial Bodies. In: Buchroithner, M., Prechtel, N., Burghardt, D. (eds) Cartography from Pole to Pole. Lecture Notes in Geoinformation and Cartography(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32618-9_17

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