Naslov
Differential Equation of the Loxodrome on a Rotational Surface

Autori
Kos , Serđo ; Filjar , Renato ; Hess , Mirano

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
ION ITM 2009 Conference Proceedings / - Fairfax (VA) : Institute of Navigation , USA, 2009

Skup
Institute of Navigation International Technical Meeting 2009

Mjesto i datum
Anaheim (CA), Sjedinjene Američke Države; Los Angeles (CA), Sjedinjene Američke Države, 26.01.2009. - 28.01.2009

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Rotational surface; Loxodrome; Differential equation

Sažetak
The loxodrome is a curve fairly often used in marine surface navigation primarily because it does not require a change of course.On the Mercator projection (standard marine nautical chart) the loxodrome is shown as a straight line , on Earth conceived as a sphere it has the form of a spiral curve , while on the Earth shaped as a rotational elipsoid it takes the form of an irregular curve.In this paper the rotational surface (S) is given by parametrisation and the differential equation of the loxodrome on the rotational surface (S) determined in this way is derived by the application of differential geometry thereby defining at the same time the metric of such rotational surface (S) , what is very convinient for use in marine applications.

Izvorni jezik
Engleski

Znanstvena područja
Tehnologija prometa i transport

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