Question:
How does a marine chronometer determine longitude?
2011-03-15 12:41:11 UTC
I get that's it's accurate with seconds and stuff, but how does it determine the longitude of where a ship/boat is at? I just find it all really confusing and I can't get my head round it :(
If someone could explain it briefly without using too many technical terms (I'm only 13) that would be great.
Thanks!
Five answers:
Argent
2011-03-15 13:01:14 UTC
It does not depend on the speed of the ship, actually, because the chronometer is still useful even when the ship is not moving.

Someone on the ship makes an observation of the position of the Sun, say at noon. Because Earth rotates, points on the surface at different longitudes will face the Sun at different times of the day. The chronometer is set to show the time in a standard location (such as Greenwich), and to keep time very accurately and precisely. When the ship is away from Greenwich, then when it is noon with respect to the ship, it is not noon at Greenwich. The amount of difference of time, as shown by the chronometer, translates into how far around the Earth the ship is.

Suppose that the ship observes noon when the chronometer shows 3 pm. Then the Earth has rotated 3/24 = 1/8 of the way eastward since it was noon at Greenwich. The circumference of Earth is computed according to the latitude (which is easy to determine with an instrument such as a sextant). 1/8 of the circumference of the circle at that latitude is then the distance west of Greenwich.

If the chronometer shows some time in the morning when it is noon at the ship, then the ship is some distance east of Greenwich; the longitude is computed in the same way as before.
2016-04-10 01:09:18 UTC
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The Babylonians, believing the year was 360 days, divided the circle into 360 degrees. Later, the Phoenicians sailed to destinations where they had noted the elevation of the north sky over the horizon in degrees. Still today, we use that to define a latitude; a parallel line where the north star is observed at the same altitude. For example, at latitude 35 north, the North Star is seen 35 degrees over the horizon. Finding a longitude, or a line crossing the latitude at right angle, in order to get a two-dimensional position, is another matter; it requires to measure an hour angle with an arbitrary place of reference, that has been in the past for different seafarers, Rome, Paris and even the Canary Islands from Christopher Columbus. But, today, it is internationally accepted as the Royal Observatory of Greenwich, in England. However, there weren't instrument capable to measure that time difference before at the end of the 18th century, John Harrison invented the marine chronometer. Before that, navigators only estimated the longitude from dead-reckoning position (estimated distance covered). To understand the importance of an accurate clockwork, you have to know that if 360 degrees is 24 hours of time, a minute of an hour is a distance of 15 nautical miles (roughly 28 km) at the equator. An error of say, five minutes, would put you at such an uncertain distance that it would be pointless to do the calculation. There was a previous method to the chronometer, though. We knew that the moons of Jupiter could be used as a celestial clock. It was only a matter of noting when the moons were passing behind the planet at the place of reference, to use it elsewhere as a clock. Incidentally, it is by computing such a table of Jupiter moons occlusion that the Danish astronomer Roemer discovered that the time changed from winter to summer and therefore assumed that it took a greater time for light to reach us and calculated - for the first time - the actual speed of the light. The only problem with Jupiter's moons is that it had to be observed through a telescope and that was not possible on the moving platform that a ship represented. The technique was only used when ashore. If you are interesting in navigation, I recommend to read the book, "Longitude" by Dava Sobel. A short but very well written story of the search for establishing the longitude. EDITED: I forgot to write the answer ... :-) ... A marine chronometer is an accurate timepiece; accurate enough to serve at finding a useful longitude.
2016-12-08 22:31:37 UTC
Longitude Chronometer
2011-03-15 12:48:59 UTC
The earth is rotating at 15degrees longitude per hour or 360degrees per day!

So an accurate clock gives time difference to greenwich compared to local time

eg sun overhead at midday

from this time difference we calculate degrees from greenwich

which is the longitude!
2011-03-15 12:46:23 UTC
It's just a matter of time and distance, of which the only variable it needs to know to compute distance is speed of the vessel...in the beginning of maritime travel when the clock was finally invented it finally allowed them to fairly accurately (their speed measuring methods were crude but at least decent) measure longitude.


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