On the mathematics of navigational calculations for meridian sailing (CROSBI ID 188414)
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Kos, Serdjo ; Poganj, Tibor
engleski
On the mathematics of navigational calculations for meridian sailing
Meridian sailing is actually a special case of sailing uniquely determined by relative coordinates Delta_phi, Delta_lambda. In this note we discuss explicit finding of certain navigational parameters such as loxodrome distance, rhumb line and geographic and geocentric latitude of a position on the globe surface, in terms of the inverse incomplete elliptic integral of the third kind, discussing and surveying certain traditional and recent methods of computation of this function.
Meridian (Loxodrome) sailing ; Incomplete elliptic integral of the third kind ; Numerical quadrature ; Binomial series expansion of the integrand ; Bulirsch method ; Carlson's duplication ; Fukushima's J-method
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