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Calculating the distance between two points along a rhumb line. In the next diagram, A, B, C, D and Z are meridians of longitude; the lines aB, bC, and cD are different parallels of latitude; and the line ABCDZ is a rhumb line.
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 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 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
4 lis 2013 · To Calculate Distance when departure and course are known: Dist = Dep / Sin (course) To Calculate Dlat when the distance and course are known: DLat = Dist x Cos (course) To Calculate Course to Steer (the rhumb line course between two points): Tan (course) = Dep / D.Lat.
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 cze 2024 · 1. The correct mathematical theory of rhumb-line sailing on an oblate spheroid. 2. The name ‘meridional distance’ to what Turner now calls the L (φ) function. 3. A table to reduce latitude to meridional distance. 4.
