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Re: Calculate new coordinates given bearing and distance?
From: Geoffrey Kolbe
Date: 2015 Nov 26, 16:00 +0000
From: Geoffrey Kolbe
Date: 2015 Nov 26, 16:00 +0000
Hello SamHere are some direct formulae for you.Lat1 and Long1 are your start latitude and longitude.Lat2 and Long2 are the new coordinates at the given bearing and distanceDiff will be the difference between Long1 and Long2Dist will be the distance in nautical miles. A nautical mile is equivalent to one minute of arc on a Great Circle, so this is converted to degrees in the formulae by dividing by 60Sin(Lat2) = Cos(Dist/60) Sin(Lat1) + Sin(Dist/60) Cos(Lat1) Cos(Bearing)Sin(Diff) = Sin(Bearing) Sin(Dist/60) / Cos(Lat2)Long2 = Long1 + DiffCaveatI do not have my scientific calculator with me, so I cannot test these formulae. As General Norman Schwarzkopf once wisely remarked, "If it has not been tested, it does not work."Geoffrey Kolbe
I have now tested these formulae with one known example and they seem to work.
Geoffrey Kolbe