There's no way around it: Celestial navigation using a sextant is a complex and
involved process that involves a fair amount of calculating, correcting,
referring to tables, knowledge of the heavens and the Earth, as well as a
lot of common sense. (No wonder it's been so quickly replaced by the
satellite-dependent Global Positioning System, or GPS!) But the basic
principles behind celestial navigation are fairly straightforward.
Here are a few examples that show how a sextant can be used to find location...
Finding latitude is easy enough. The first thing you need to do is measure the angle
between the horizon and the sun when the sun is at its highest point, which is right
around noontime on your watch. A quick look at your trusty tables tells you which
line of latitude the sun should be above on that particular day. For example, let's
say it's noon on December 21, and the sun is
directly overhead. Well, on that day the sun is above the Tropic of Capricorn, so
your latitude would have to be 23.5 degrees S.
It's a good thing, if you're a navigator, that the Earth spins around at
such an even pace. Every hour it moves 15 degrees. This means that if the
sun is above the longitude of 0 degrees at noon, one hour later it will be
above 15 degrees West. Now if you have a chronometer (this is just a fancy
name meaning "extremely accurate clock"), you can find your longitude. Let's say
that the sun is directly overhead and your chronometer, which was set to noon when
you were at 0 degrees, says it's 3 o'clock. This means that three hours ago the sun
was overhead at this latitude at 0 degrees longitude. In those three hours, the sun
moved 15 degrees 3 times, or 45 degrees. So you're at 45 degrees West. Of course, the fact
that the sun was directly overhead (which very rarely happens) made it especially
convenient for finding your longitude, but you could have found your
longitude anyway, with the help of your tables.