The Basics of Global Location
before GPS

McCarthyWere you ever or are you now a pink?
SheepI am now! I ain't got no wool on. I'm freezing.

Point of Order, Stan Freberg.

D Vautier
6/2019


In order to make any sense of the following, I need to explain four ideas: local time meridian, the celestial equator, the equation-of-time, and sun declination. After that it's all easy to understand everything else.

Local Time Meridian

Draw a line from pole to pole going through your location. Project that line into a plane that goes straight up.  This is called your local time meridian.  It is quite significant because the instant the sun or a star crosses that meridian it will help calculate where you are on the planet.  There are telescopes with fixed crosshairs that are on axes that only allow the telescope to traverse up and down the local time meridian. These are called meridian circle telescopes (Milham, 6).  These were very valuable in early astronomy because they recorded sidereal time which is very accurate.  When the sun or a star crosses your local time meridian it is blazing along at about a mile a second.

The local time meridian should not be confused with the standard time meridian.  

Celestial equator

The celestial equator is a projection of earth’s equator out into the heavens, nothing more. This equator moves as the earth revolves around the sun since the earth is tilted in its orbit.  The sun and stars appear to move above and below the celestial equator anywhere from 0 to 23.4 degrees.

Equation-of-time

It has been known from antiquity through the use of sundials and astrolabes that the sun crosses your local time meridian not quite at noon but sometimes a little early or sometimes a little late. This is caused because the earth’s orbit is an ellipse and the earth moves faster or slower in its orbit at different times during the year.  As a result the sun may be a little ahead or behind schedule when it comes overhead (Milham, 13).

This is sometimes called the mean sun, an imaginary spot where the sun would be if the earth orbit were a perfect circle and the earth traveled at the same speed all the time.  The equation-of-time adjusts the sun to it's mean position.

The earth is closest to the sun in January and farthest from the sun in early July and moving slower in orbit.  Thus the sun is ahead of schedule February and July and behind schedule in May and October.

Sun Declination

Since the earth is tilted 23 degrees in it's orbit the sun wanders above and below the celestial equator.  The distance in degrees that the sun is above or below this equator on any specific day is called its declination, an indispensible ingredient when determining latitude.

Latitude

Since antiquity mariners have been able to get a fairly good idea of their latitude although instruments were not very precise so their latitude was not either. The ancients did however have a rough idea of the suns declination.  When the sun hit their local time meridian (at its highest point during the day), the angle of the sun above the horizon at that instant, when adjusted for declination becomes latitude.  With the advent of precision instruments like the sextant, very accurate readings could be achieved. 

Longitude

The very instant that the sun crosses a local time meridian, this time then  becomes longitude after applying the equation-of-time adjustment as explained above to arrive at a mean sun location.

 

Equation of time

But for so many years obtaining accurate Greenwich time was the big difficulty. The sun moves at around a mile a second over the face of the earth and a fraction of a second can make a big difference.