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The formulas for determining a ship’s dead-reckoned position, given an initial known location, the vessel’s course and speed, and the time elapsed, are referred to as the sailing formulas....
The rhumb line connecting any two points of the great circle on the same side of the equator is a chord of the curve. If the two points are on op-posite sides of the equator, the direction of curvature of the great circle relative to the rhumb line changes at the equa-tor. The rhumb line and great circle may intersect each
Formulas regarding the rhumbline sailing computation are given in a form convenient for calculations done with a use of commonly accessible electronic calculators.
The rhumb line connecting any two points of the great circle on the same side of the equator is a chord of the curve. Along any intersecting meridian the great circle crosses at a higher latitude than the rhumb line.
Short distance sailing is a term which is applied to sailing along a rhumb-line for distances less than 600 nautical miles. From the formulas derived above, the following are used extensively in short distance sailing:
1 cze 1995 · This paper provides simple formulas that include the earth's oblateness, which can be readily applied to sailing calculations. The accuracy of these formulas is assessed, and they are shown to be good to about 10 m over ranges up to 1000 km.
As known, a vessel sailing on the GCT in a constantly varying course is impossible and thus, a series of rhumb lines is necessary to be adopted for approximating the GCT in practice [2, 3, 9, 18]. Before doing so, the waypoints must be located. However, to determine the waypoints on the GCT, the navigator has to provide some initial conditions.
