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A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Timing Lunars with a Rock
From: Alexandre Eremenko
Date: 2005 Jul 19, 12:14 -0500
From: Alexandre Eremenko
Date: 2005 Jul 19, 12:14 -0500
I repeat that using a pendulum of fixed length is not a good standard of time. Because the period depends on the amplitude. This was already well-known in XVIII century. Thus the US proposal (as explained in the following message) was not scientifically sound. Alex. On Tue, 19 Jul 2005, Gary J. LaPook wrote: > At one time, about 1790, many, including Thomas Jefferson, wanted to > the use the length of a one second pendulum as the standard meter, or > standard unit of length, instead of the one proposed by the French > Academy of one ten millionth of the meridian from the equator to the > pole. The discussion broke down because the americans wanted to use a > pendulum at 38? north (near the Monticello) and the french wanted to use > one at 45? near Paris. The length of such a pendulum is 39.2 inches. The > french eventually surveyed the meridian form Dunqerque to Barcelona and > extrapolated it to the pole and defined the meter from it. An > interesting book about the travails in accomplishing this survey, which > took seven years and was conducted during the french revolution, is "The > Measure Of All Things" by Ken Adler, $4.95 at Barnes and Noble. They > came close. There are actually 10,002,290 meters in the arc. > > Gary LaPook > > george huxtable wrote: > > > Come on, Bruce, your memory is as bad as Jared's, when you write- > > > >> The old navigation manuals suggested checking the log line and half > >> minute > >> glass occasionally. One way to check the glass was by pendulum. As I > >> recall, the length of the pendulum, to the center of the musket ball > >> that > >> formed the weight, was sometimes given as 29 and 1/4 inches, and > >> sometimes > >> as 29 and 1/8. Count a second each time the pendulum passed the > >> bottom. I > >> suppose you had to give the pendulum a few moments to settle the > >> length of > >> its swing. > >> > >> Bruce > > > > > > It's not 29 and-a-bit, but 39 and-a-bit inches, which I have just > > confirmed > > by working it out from the expression for a period of 2 seconds as 2 x > > pi x > > sguare-root-of( length / gravity acceleration ). And to be doubly sure, > > I've just checked it against the pendulum of my old grandfather clock in > > the hall. 39 and-a-bit it is. > > > > What a mess listmembers would make of estimating time at an African lake, > > if that's the best they can do between them! > > > > George. > > =============================================================== > > Contact George at george@huxtable.u-net.com ,or by phone +44 1865 820222, > > or from within UK 01865 820222. > > Or by post- George Huxtable, 1 Sandy Lane, Southmoor, Abingdon, Oxon OX13 > > 5HX, UK. > > > > >