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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 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 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
comparing the Great Circle and the Rhumb Line tracks between place of departure at 6000N 01000E and different destinations, all of which are located on the 6000N parallel. In this case the Rhumb Line track will be 270°, and the Rhumb Line distance is easy to calculate, using the formula for departure. Observing the Great Circle track and
Navigation Principles. Enabling Objectives. Know terms associated with the terrestrial coordinate system; Equator, Prime Meridian, Great Circle, Small Circle, Parallel, Meridian, Latitude, Longitude, and Rhumb Line. Understand the concept of Projections and the main projections used in Navigation.
As known, a vessel sailing on the GCT in a constantly varying course is impossible and thus, a series of rhumb lines is necessary to be adopted for approximating the GCT in practice [2, 3, 9, 18]. Before doing so, the waypoints must be located. However, to determine the waypoints on the GCT, the navigator has to provide some initial conditions.
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:
