Course = N 55.7 W (NW is 4th Quadrant -360) 360 – (Naming of course is basedon the Dlat and Dlong)T/Course = 304.3 Degrees True Quadrant 1. first quadrant (NE) – As is 2. Second quadrant (SE) – Subtract 180 degrees3.
Full Answer
With the Mercator sailing method, the course is determined first by the use of the first formula. The answer will be an azimuth and must be converted to a true course. See the instructions contained in the section on plane sailing.
To measure distance on a Mercator chart, the length of a rhumb-line between two places is taken as the distance between them, but must be measured as shown in Fig. 62-3. ZABCY is the rhumb-line as it appears on the chart. XX’, AA’, BB’ . . . etc. are parallels of latitude.
Again: these are the Mercator sailing equations. And the artanh method makes them even more compact. Gene, it looks like you think that the formulas I gave calculate something different from the Mercator sailing course and distance. They don't. The Meridional parts formula is just more accurate and can handle different ellipsoids.
Any Plane Sailing triangle would be represented on a Mercator chart by a similar but larger triangle (because the meridians are parallel on the chart and do not converge as on the sphere). In Fig. 62-5, triangle XYZ is a Plane Sailing triangle and triangle X’Y’Z’ is its representation on a Mercator chart.
DISTANCE =( D'LAT × SEC CO.)
These relationships are now known as the plane sailing formulae, namely: departure = distance x sine course d. lat. =distance xcosine course.
Difference in Meridional parts is the length of meridian on a Mercator chart between two parallel of latitudes measured in units of longitude scale. For finding Distance : Distance = D′lat × secant Co. The figure below shows the relationship between the Mercator sailing and Plane sailing triangles.
Because the latitude scale is not constant, care must be taken when measuring distance from the left- and right-hand edges of the chart. The distance must be measured around the middle latitude between the two points.
0:1416:57Mercator Sailing - Solve for Course and Distance - YouTubeYouTubeStart of suggested clipEnd of suggested clipAt this latitude and longitude heading for a destination at this latitude. And that longitude. SoMoreAt this latitude and longitude heading for a destination at this latitude. And that longitude. So that's the point of departure. This is the point of arrival.
In navigation, the course of a watercraft or aircraft is the cardinal direction in which the craft is to be steered. The course is to be distinguished from the heading, which is the compass direction in which the craft's bow or nose is pointed.
The Plane Sailing method is used to find the approximated course and distance between two positions that are on different latitudes.
Marine Mate October 14, 2020. * Mercator sailing is another method of Rhumb line sailing . * It is used to find the course and distance between two position that are in different latitude from the large d'lat and distance. * It is similar to plane sailing except that plane sailing is used for small distance.
This can be calculated by using the formula Speed = Distance / Time. Once an advance position has been plotted, then set and drift can be factored in. If there is a known set and drift, then the corrections can be applied to the Dead Reckoning position to then get an Estimated Position on a chart.
0:042:34Measuring miles on a nautical chart - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo when we look at the chart that we have here you'll see those two skills on it there's a scaleMoreSo when we look at the chart that we have here you'll see those two skills on it there's a scale along the bottom here which tells us distance a from the east. Or west of Greenwich.
1:385:45Mercator Chart - Chartwork and Tides - YouTubeYouTubeStart of suggested clipEnd of suggested clipEach latitude as a different scale of distance. Going from naught to 90 degrees north and south notMoreEach latitude as a different scale of distance. Going from naught to 90 degrees north and south not degrees being the equator now the distance measured at the side increases.
Measuring Distance on a Nautical Chart1' (minute) of latitude = 1 nautical mile.1∘ degree of Latitude = 60' (minute) or 60 nautical miles.Land mile = 1609m.Nautical mile = 1852m / 1.15 land miles.
Mercator Sailing is the most modern of the Rhumb-Line Sailings and is derived from the representation of the Plain Sailing triangle on the Mercator chart. Any Plane Sailing triangle would be represented on a Mercator chart by a similar but larger triangle (because the meridians are parallel on the chart and do not converge as on the sphere).
Mercator charts are graduated along the top and bottom edge for longitude and on the left and right-hand edges for latitude and distance. The longitude scale should be used only for laying down or reading-off the longitude of a place, never for measuring distance.
This is because the longitude scale on a Mercator chart is constant for all latitudes. The adjacent side X’Y’, however, on the same scale (i.e., in Meridional parts) represents the d.m.p. between the latitudes of X and Y (or X’ and Y’).
Since the Equator is shown on the Mercator chart as a straight line of definite length, then the longitude scale is fixed by that length and must be constant in all latitudes because the meridians appear as straight lines perpendicular to the Equator.
The reason the Mercator projection became so popular for marine use was because it gives the chart the properties necessary for the navigator, namely that:
In the Plane Sailing triangle, all three sides, representing dep., d.lat., and distance are on the same scale, i.e., the latitude scale or nautical miles. In the chart triangle, the scale used is the longitude (or Meridional parts) scale and the side opposite to the course angle is labelled d.long.
In other words, one mile on the chart in a particular latitude is represented by y.sec.lat.inches, from which it follows that the scale of latitude and distance at a certain place on the chart is proportional to the secant of the latitude of that place.
Sailing is the term used in the maritime world to describe the method used to solve the problem of course and distance between two positions.
It may be difficult to believe that if you sail on a constant course, except on exact East or exact West, you will end up at the North or the South pole, assuming there is no land in between. The constant course track that appears like a spiral on the Earth spheriod is called a Rhumb Line track.
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.