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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 a higher latitude than the rhumb line.
Using two different examples, this video shows how to calculate the course and distance between two positions; and how to calculate the position arrived if d...
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...
V stands for vertex latitude. Since the orthodrome is a curved line whose true direction changes continually (except for the meridian or the equator), a number of points along the Great Circle are selected, and then connected by loxodromes and followed by rhumb line courses. By using the latitude equation
