Drawing: John Harrison, English Clock maker, from Wikimedia Commons.

Eddie Sez:

Our chosen profession often involves navigating thousands of miles in just a few hours, something that was impossible to do without a navigator with a book of tables and a sextant.

Sea going captains relied on the sun and stars for navigation. By measuring the length of day, from the sun's highest point in the sky from one day to the next, the ship's latitude could be judged. Pendulum-based clocks were almost up to the task. Longitude posed a similar problem, but local noon had to be compared to noon at a known location, usually the departure port. Clocks needed to keep accurate time for months to do this. That's where English clock maker John Harrison came in, inventing just such a clock. His first is now at the Royal Observatory in Greenwich. (Photo from Wikimedia Commons.)

What follows comes from the references shown below. Where I think it helpful, I've added my own comments in blue.


History of Lines of Latitude and Longitude

[Sobel, page 2]


Latitude

Figure: Latitude lines, from Wikimedia Commons, Pearson Scott Foresman.

[Sobel, page 2]

  • The zero degree parallel of latitude is fixed by the laws of nature.

  • Any sailor worth his salt can gauge his latitude well enough by the length of the day, or by the height of the sun or known guide stars above the horizon. Christopher Columbus followed a straight path across the Atlantic when he "sailed the parallel" on his 1492 journey, and the technique would doubtless have carried him to the Indies had not the Americas intervened.

A good inertial reference system can deduce its latitude by the spinning of the earth and will detect a pilot entry error that disagrees with the sensed motion.

Figure: Planes of the Earth, from AFM 51-40, figure 2-3.

[AFM 51-40, page 2-3.]

  • Once a day, the earth rotates on its north-south axis which is terminated by the two poles. The equator is constructed at the midpoint of this axis at right angles to it. A great circle drawn through the poles is called a meridian, and an infinite number of great circles may be constructed in this manner. Each meridian is divided into four quadrants by the equator and the poles. Since a circle is arbitrarily divided into 360 degrees, each of those quadrants therefore contains 90 degrees.

  • Take a point on one of these meridians 30 degrees north of the equator. Through this point pass a plane perpendicular to the north-south axis of rotation. This plane will be parallel to the plane of the equator as shown [in the figure] and will intersect the earth in a small circle called a parallel or parallel of latitude. The particular parallel of latitude chosen is 30° N, and every point on this parallel will be at 30° N. In the same way, other parallels can be constructed at any desired latitude, such as 10 degrees, 40 degrees, etc.

Longitude

Figure: Longitude lines, from Wikimedia Commons, Pearson Scott Foresman.

[Sobel, page 2]

  • The zero degree meridian of longitude shifts like the sands of time.

  • To learn one's longitude at sea, one needs to know what time it is aboard ship and also the time at the home port or another place of known longitude — at that very same moment. The two clock times enable the navigator to convert the hour difference into a geographical separation. Since the earth takes twenty-four hours to complete one full revolution of three hundred sixty degrees, one hour marks one twenty-fourth of a spin, or fifteen degrees. And so each hour's time difference between the ship and the starting point marks a progress of fifteen degrees of longitude to the east or west. Every day at sea, when the navigator resets his ship's clock to local noon when the sun reaches its highest point in the sky, and then consults the home-port clock, every hour's discrepancy between them translates into another fifteen degrees of longitude.

  • Those same fifteen degrees of longitude also correspond to a distance traveled. At the Equator, where the girth of the Earth is greatest, fifteen degrees stretch fully one thousand miles. North or south of that line, however, the mileage value of each degree decreases.

[AFM 51-40, page 2-4.]


Book Notes

Portions of this page can be found in the book Flight Lessons 1: Basic Flight, Chapter 20.

Portions of this page can be found in the book International Flight Operations, Part II, Chapter 2.


References

Air Force Manual (AFM) 51-40, Air Navigation, Flying Training, 1 July 1973

Sobel, Dava, Longitude: The true story of a long genius who solved the greatest scientific problem of his time, Thomas Allen & Sons Canada Limited, Markham, Ontario, 1995

Wikimedia Commons, Public Domain Artwork