Izvorni znanstveni članak

https://doi.org/https://doi.org/10.32909/kg.23.42.2

Loxodrome in Conic and Azimuthal Projections

Miljenko Lapaine orcid.org/0000-0002-9463-2329 ; Geodetski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska *

* Dopisni autor.

Sažetak

In the introductory part of the article, we recall the important role of the loxodrome in navigation and derive a formula for the length of the arc of this curve on the sphere between two points. The loxodrome is usually associated with the Mercator projection, because in this projection its image is a straight line. In this paper, we deal with the loxodrome in conic and azimuthal projections. The image of the loxodrome in such projections is not a straight line but a spiral curve. The determination of the distance measured along the loxodrome between two points in a normal aspect conic or azimuthal projection is presented. Formulas for the length of the arc of the loxodrome in each of these projections are derived using examples of conformal, equivalent and equidistant conic projections. Azimuthal projections are special cases of conic ones, so they do not require special derivations of formulas.

Ključne riječi

conic projections; azimuthal projections; sphere; loxodrome; arc length

Hrčak ID:

329372

URI

https://hrcak.srce.hr/329372

Datum izdavanja:

31.12.2024.

Podaci na drugim jezicima: hrvatski

Posjeta: 0 *