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    Re: one second of time
    From: J Cora
    Date: 2008 May 15, 19:04 -0700

    I forget the name of the book but it covers the history
    of sun clocks that were built in european churches
    using a slit to pass a beam of light and marks upon
    the floor or a wall to measure the passage of time.
    I suppose it was possible over a long period of time
    to determine the average length of a solar day. 

    I read further online about Galileo and apparently he used
    water clocks to time some of his experiments as
    they were more accurate than using a pendulum
    as he had not worked out all the details.

    I agree with using sidereal time as the standard for
    clockmakers as they had to have some accurate
    standard which was easily accessible to base their
    clocks upon and to adjust the rate.  I have no clue as
    to how they knew by what amount to adjust the rate so
    that the clocks would run in time with a solar day,
    that being 24 x 60 x 60 seconds.
    Whether you can accurately time a sidereal day by
    carefully measuring the transit of a star, doesn't seem to
    imply that you know that relative to a solar day it is
    about 4 minutes less in time. 

    It seems that for some time mechanical clocks were adjusted relatively often to match the varying solar day.
    But at some point the 86400 second day became the standard for the clockworks.  Perhaps the long history of measuring the length of the solar year provided the time
    difference relative to sidereal time.


    On Thu, May 15, 2008 at 10:28 AM, Herbert Prinz <ml-2@hprinz.us> wrote:

    coralline algae wrote:

    > The thing I can't quite understand though, is what standard the
    > clockmakers used to decide on the length of a second, in building
    > their timepieces.
    > Here is my first guess, the solar day length on the equinoxes along
    > with the suns meridian transit set the day length standard.
    > Then build a gear train dividing the day into 24 by 60 by 60 parts.
    > Recalling that Harrison used sidereal time to calibrate his clocks, it
    > must have been well known by his time ( or much earlier ?) The "exact"
    > difference in time
    > between the solar day and the sidereal day so the clock needed to run
    > slower by about 4 minutes. Wikipedia says 86164.1 seconds.  If the
    > exact difference in time was well known and transit times could be
    > measured to tight accuracy this would seem to be the best option.

    In fact, measuring the sidereal day is the *only* option. The mean solar
    day is a computational fiction that is not directly measurable. It
    results from the combination of earth rotation and annual solar motion,
    the latter being non-uniform. The true solar day varies throughout the
    year by a few seconds. At the equinoxes, the difference between true and
    mean solar day is particularly large because the effect of the
    inclination of the ecliptic is at its maximum.

    Herbert Prinz




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