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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
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
2401. Rhumb Lines and Great Circles. The principal advantage of a rhumb line is that it maintains constant true direction. A ship following the rhumb line between two places does not change its true course. A rhumb line makes the same angle with all meridians it crosses and appears as a straight line on a Mercator chart.
27 sty 2017 · The optimized distance is achieved if the rhumb line course is altered towards the vertex at the orthodrome-loxodrome intersection point.
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....
Rhumb line calculation: Departure position (latitude, longitude) + Course and Distance, to compute Arrival position; Departure position + Arrival position, to compute Course and Distance; Path of constant course between Departure position and Arrival position. Great Circle calculation