WHAT'S THE DIFFERENCE BETWEEN LATITUDE AND LONGITUDE?

By Homer Montgomery


 

R/V Melville, 15° 48.1' N, 14° 45.5' E - Course: 213, Speed: 9.9 knots

 

As we steam this pattern of survey lines (looks much like mowing your yard) mapping the ocean floor, it is clear such navigational precision was not possible even twenty years ago. The early European sailors who visited the Marianas were certainly navigationally challenged. In order to navigate across an ocean a ship's navigator must know latitude and longitude.

I hope everyone knows the difference between latitude and longitude. An exercise you might want to consider is to take a grapefruit (or orange) and mark lines of latitude and longitude on it with a marker.Make the lines equiangular. An easy way to do this is to cut the fruit in half and use a protractor. Do not forget to put in the international date line. Assuming you can do all this, put in a dot for Greenwich, England. Why is Greenwich important? You might as well locate yourself as well. Throw the R/V Melville in for practice (present position at top of page).

This exercise should be an easy one. However, without the latitude/longitude framework, you would be out of luck. You can see why this system is so important. It has not always been easy. Latitude was historically not the difficult measurement. Longitude was. The determination of longitude is a matter that requires good timing. Do you know why?

Early attempts to determine longitude were based on the assumption that it could be determined astronomically. Unfortunately, that process could take several hours of calculation. British clockmaker John Harrison was convinced the better method lay in having an accurate clock aboard the ship. He was right. In 1764, Harrison's clock was put to the test on a voyage to Barbados. Accurate determination of longitude was now possible. How?

The secret is in knowing the difference in time between a specific fixed location and your location.The specific fixed location to know is Greenwich,

England. Greenwich is the prime meridian. The prime meridian divides the earth into eastern and western halves just as the equator divides the earth into northern and southern halves. Why Greenwich? Because England was the world sea power at the time, and they got to decide. Greenwich, England is located at 51° 29' N (latitude), 0°00'W (longitude). If you sail west of this location, your longitude is a higher number W. If you sail east, it is a higher number .

Now for the technique. If you know the difference in time between your present location and the time in Greenwich (called GMT or Zulu by the military), you can work out longitude. The earth rotates at 1° of longitude in four minutes. That is 15° per hour. One complete revolution requires approximately 24 hours, one day. The last information you need is a table that tells you what time it is in Greenwich at sunrise for each day of the year. (The tables also give other times such as sunset, twilight, moonrise, etc.). All you have to do now is observe and record the time of sunrise in your location. A bit of simple math and you have your answer.

Therefore, if the sun rises two hours later at your location that in Greenwich you at ____° (E or W) longitude. Simple.

 



Email comments and inquiries to SciMathEd@utdallas.edu
( C ) 2001.The University of Texas at Dallas | School of Natural Science & Mathematics.