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Ekscentar, No. 17, 2014.

Professional paper

Centres of the Meridian Curvature

Miljenko Lapaine orcid id orcid.org/0000-0002-9463-2329 ; Institute for Cartography and Photogrammetry, Faculty of Geodesy, University of Zagreb, Zagreb, Croatia
Martina Triplat Horvat orcid id orcid.org/0000-0002-8304-7474 ; Institute for Cartography and Photogrammetry, Faculty of Geodesy, University of Zagreb, Zagreb, Croatia

Full text: croatian pdf 484 Kb

page 56-57

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Abstract

This paper presents a derivation for geometric locus of meridian curvature centres, on the condition that a meridian is an ellipse
arc. It is a star-shaped curve which mathematicians refer to as an astroid. First, the equation of an ellipse parameterized by latitude is derived, after which the equation of an astroid is derived in parameter and implicit form, from which its semi-axes can be read.

Keywords

rotational ellipsoid; meridian; meridian curvature; astroid

Hrčak ID:

125473

URI

https://hrcak.srce.hr/125473

Publication date:

26.6.2014.

Article data in other languages: croatian

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