Cylindrical projection conformality of triaxial ellipsoid

Fleis, Maria E.; Nyrtsov, M.V.; Borisov, M. M.

doi:10.1134/s1028334x13070234

Cited by 6 publications

(1 citation statement)

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“…Different versions of conformal projections of a triaxial ellipsoid were created by Nyrtsov (2014), who developed such a projection with use of elliptical coordinates. Fleis et al (2013) presented a conformal projection that maintained the angle between parallels and meridians. presented an equalarea map projection of a triaxial ellipsoid.…”

Section: Introductionmentioning

confidence: 99%

Equidistant map projections of a triaxial ellipsoid with the use of reduced coordinates

Pędzich¹

2017

Geodesy and Cartography

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Abstract:The paper presents a new method of constructing equidistant map projections of a triaxial ellipsoid as a function of reduced coordinates. Equations for x and y coordinates are expressed with the use of the normal elliptic integral of the second kind and Jacobian elliptic functions. This solution allows to use common known and widely described in literature methods of solving such integrals and functions. The main advantage of this method is the fact that the calculations of x and y coordinates are practically based on a single algorithm that is required to solve the elliptic integral of the second kind. Equations are provided for three types of map projections: cylindrical, azimuthal and pseudocylindrical. These types of projections are often used in planetary cartography for presentation of entire and polar regions of extraterrestrial objects. The paper also contains equations for the calculation of the length of a meridian and a parallel of a triaxial ellipsoid in reduced coordinates. Moreover, graticules of three coordinates systems (planetographic, planetocentric and reduced) in developed map projections are presented. The basic properties of developed map projections are also described. The obtained map projections may be applied in planetary cartography in order to create maps of extraterrestrial objects.

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Section: Introductionmentioning

confidence: 99%