How do you solve a sailing Mercator?

Which function is needed to determine the distance in Mercator sailing?


What is Mercator sailing in navigation?

[mər′kād·ər ‚sāl·iŋ] (navigation) A method of solving the various problems involving course, distance, difference of latitude, difference of longitude, and departure by considering them in the relation in which they are plotted on a Mercator chart.

What is the importance of using Mercator sailing in calculating for course and distance?

As with the other Rhumb-Line Sailings, the use of Mercator Sailing is in solving the two most common navigational problems, namely, finding the course and distance along a rhumb-line track, and finding the position after sailing a known course and distance.

How do you calculate great circle sailing?

formula : cos gc = (sine lat a * sine lat b) + (cos lat a * cos lat b * cos longitude diff.)

How is Dlat calculated?

Finding Difference of Latitude(DLAT)

  1. When the two latitude have LIKE names(both North or both south) subtract the lesser latitude from the greater.
  2. 2.In naming DLAT with like names it is reckoned from the equator towards the poles( Lat. …
  3. When the latitude have unlike names,add the two latitudes.
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What are the two categories of Mercator sailing?

In broad terms, there are two main types of sailing, namely, the Rhumb Line sailing and the Great Circle sailing.

What is short distance sailing?

Short distance sailing is a term which is applied to sailing along a rhumb-line for distances less than 600 nautical miles.

What is the use of plane sailing?

Plane sailing (also, colloquially and historically, spelled plain sailing) is an approximate method of navigation over small ranges of latitude and longitude. With the course and distance known, the difference in latitude ΔφAB between A and B can be found, as well as the departure, the distance made good east or west.

What is parallel sailing?

Parallel sailing is the interconversion of departure and difference of longitude when a vessel is proceeding due east or due west. … It is similar to plane sailing, but uses meridional difference and difference of longitude in place of difference of latitude and departure.

How do you find the distance on a Mercator chart?

Measuring Distance

On a Mercator chart, the latitude scale on the sides of the chart serves as the distance scale. It’s worth remembering that only the vertical, latitude scale on a Mercator chart can be used to measure distance, not the horizontal longitude scale.

What is the rhumb line in sailing?

A rhumb line is a steady course or line of bearing that appears as a straight line on a Mercator projection chart. … The problem for navigation is that sailing a true great circle would require constant changes in the course steered.

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Why is it wise to use great circle sailing?

Great Circle Sailing is used for long ocean passages. For this purpose, the earth is considered a perfect spherical shape; therefore, the shortest distance between two points on its surface is the arc of the great circle containing two points.

What is the meaning of great circle sailing?

: the navigation or conducting of a ship on a great-circle track or on a course determined in relation to a great-circle track — compare sailing.

How do you solve great circle distance?

The great circle distance, d, is the shorter arc joining two points on a great circle. We can also consider the chord (straight line) joining the two points, and we let its length be C. Putting these together by eliminating σ, C2=sin(d2).

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