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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bugaevskiy LM (1999) Teoriya kartographicheskich proekciy regulyarnych poverchnostey. M. Zlatoust (in Russian)
Clebsch A (2009) (ed) Jacobi’s lectures on dynamics, 2nd edn. Hindustan Book Agency, New Delhi
Gazetteer of Planetary Nomenclature—USGS (2012) http://planetarynames.wr.usgs.gov/. Accessed 26 Oct 2012
GIS Research Centre of the Institute of Geography of the Russian Academy of Sciences Cartographical Projections of Triaxial Ellipsoid (2012) http://geocnt.geonet.ru/en/3_axial. Accessed 26 Oct 2012
Jacobi CGJ (1866) Vorlesungen über Dynamik. G. Reimer, Berlin
Jakobi K (1936) Lekcii po dinamike/Perevod s nemeckogo O.A. Polosukhina/Pod redakciey Prof. N.S. Koshlyakova. Glavnaya redakciya obshetekhnicheskoy literatury. Leningrad-Moskva (In Russian)
Kagan VF (1947) Foundations of the theory of surfaces in a tensor setting, Moscow-Leningrad (In Russian)
Prudnikov AP, Brychkov YA, Marichev OI (1986) Integrals and series. Elementary functions, vol 1. Gordon and Breach, New York
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-32618-9_17
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32617-2
Online ISBN: 978-3-642-32618-9
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)