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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 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
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
legs ensuing the optimized distance, an initial rhumb line course equal to the orthodromic course at middle latitude may be used. The initial course is thereupon optimized by the incremental value steps.
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
Great circle navigation - sailing calculator software: distance-bearing between two points - formulas - rhumb line - excel spreadsheet program - free download.
