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Earth geometry

J
JeffChiseke

This document discusses how to locate places on Earth based on their latitude and longitude. It provides instructions for calculating the difference or sum of latitudes and longitudes depending on whether locations are north or south of the equator, or east or west of Greenwich. It also explains how to calculate the distance along parallels of latitude or along the Earth's surface between two locations given their latitude and difference in longitude.

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EARTH GEOMETRY Locating Places on the Earth Two places on the same longitude but different latitudes. Both south of equator? If yes, subtract the latitudes, to find difference. Both north of equator? If yes, subtract the latitudes to find the difference. One south of equator & another north? If yes, add the latitudes
Two places on the same latitude but different longitudes. Both east of Greenwich? If yes, subtract longitudes Both west of Greenwich? If yes, subtract longitudes One east & another west? If yes, add longitudes Distance Along Places The circle of latitude 属 属 has radius = , where R=radius of the Earth. Arc length= 2 360
Examples. 1.Given that the radius of the earth is 6400km, find (i)The length of the parallel latitude 30属 (ii)The shortest distance along the surface of the earth from town Q (30属,10属)to town P (30属,50属 Solution (i) Given that R=6400km = 30属 , = 30属 Length=2 r=Rcos =2 22 7 6400 30 =34,839km (ii) 2 360 = 2 22 7 64003060 360 = 5806 = 10 + 50 = 60属 r=Rcos

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Earth geometry

  • 1. EARTH GEOMETRY Locating Places on the Earth Two places on the same longitude but different latitudes. Both south of equator? If yes, subtract the latitudes, to find difference. Both north of equator? If yes, subtract the latitudes to find the difference. One south of equator & another north? If yes, add the latitudes
  • 2. Two places on the same latitude but different longitudes. Both east of Greenwich? If yes, subtract longitudes Both west of Greenwich? If yes, subtract longitudes One east & another west? If yes, add longitudes Distance Along Places The circle of latitude 属 属 has radius = , where R=radius of the Earth. Arc length= 2 360
  • 3. Examples. 1.Given that the radius of the earth is 6400km, find (i)The length of the parallel latitude 30属 (ii)The shortest distance along the surface of the earth from town Q (30属,10属)to town P (30属,50属 Solution (i) Given that R=6400km = 30属 , = 30属 Length=2 r=Rcos =2 22 7 6400 30 =34,839km (ii) 2 360 = 2 22 7 64003060 360 = 5806 = 10 + 50 = 60属 r=Rcos