Differential Equation of the Loxodrome on a Rotational Surface (CROSBI ID 546167)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kos , Serđo ; Filjar , Renato ; Hess , Mirano
engleski
Differential Equation of the Loxodrome on a Rotational Surface
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.
Rotational surface; Loxodrome; Differential equation
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Podaci o prilogu
2009.
objavljeno
Podaci o matičnoj publikaciji
ION ITM 2009 Conference Proceedings
Fairfax (VA): Institute of Navigation , USA
Podaci o skupu
Institute of Navigation International Technical Meeting 2009
pozvano predavanje
26.01.2009-28.01.2009
Anaheim (CA), Sjedinjene Američke Države; Los Angeles (CA), Sjedinjene Američke Države