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meridian on a Mercator chart, measured in units of the longitude scale, between the Equator and the parallel of that particular latitude. It can be extracted from nautical tables.
15 paź 2020 · In determining the course and distance between positions using the Mercator sailing method, we make use of two formulae, namely: The following triangles illustrate how these formulae were derived: Angle DAC is the azimuth, side AE is the distance, side AB is the d’lat, side DC is the d’long and side AC is the difference of meridional parts.
Mercator Sailing. The plain triangle on the right indicates the plot of a Rhumb Line track on a Mercator chart between two points (A and C). By applying simple trigonometry principles the course and distance between the two positions can be determined. The formulae for determining the values are :-
Formulas exist which account for oblateness, reducing these errors to less than the length of the typical vessel using them, but far larger errors can be expected on any voyage of more than a few day’s duration. There are two types of Sailings: Great Circle and Rhumb Lines. Both will be described in detail in this chapter.
21 lut 2024 · Mercator sailing problems can be solved graphically on a Mercator chart. For mathematical solution, the formulas of Mercator sailing are: tan C = , and DLo = m tan C. After solving for course angle by Mercator sailing, solve for distance using the plane sailing formula: D = l sec C. Figure 2416a
In mid-latitude sailing: • Mercator Sailing problems are solved graphically on a Mercator chart. For mathematical Mercator solutions the formulas are: where m is the meridional part from Table 6 in the Ta-bles Part of this volume. Following solution of the course angle by Mercator sailing, the distance is by the plane sailing formula:
With this table, the Mercator sailing was developed and it provides a mathematical solution of the plot as made on a Mercator chart by using difference in meridional parts and longitude differences.
