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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...
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.
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 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....
To reach the Great Circle vertex with two rhumb-line legs ensuing the optimized distance, the initial rhumb line course (θ. T) equal to the orthodromic course at the middle latitude may be used. Alternatively, the middle longitude (m) point at the same Great Circle can give the initial rhumb line course (θ. T) as well.
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
In navigation, a rhumb line, rhumb (/ r ʌ m /), or loxodrome is an arc crossing all meridians of longitude at the same angle, that is, a path with constant bearing as measured relative to true north.
