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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:
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
The formulas enable to solve the tasks with a use of electronic calculator and application of traditional methods on plane and sphere, and they also take the Earth’s ellipsoidal shape into consideration. Keywords: loxodrome (rhumb-line sailing), plane (or middle latitude) sailing, Mercator triangle (Mercator sailing) 1. Introduction
The initial rhumb line course (θ T) is then altered by an incremental value of r0.1D(converted into radians) and evaluated as T Tc. After few iterative steps (Newton-Raphson method), T Tc reaches the free turning point I’ on the same great circle, thus determining the optimized distance (D TI’V) (Petrović, 2015). Detailed mathematical ...
Equations (1) can be used to describe a vessel's motion along a rhumb line if we set dl = Sdt, where. S is the vessel's speed and dt is an in nitesimal increment of time, t. For rhumb lines, the...
ABSTRACT Although the mathematical basis for rhumb lines on the ellipsoidal earth is well known, the earth's oblateness is usually neglected in dead-reckoning sailing calculations. This leads to si...
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.
