In (4) we see that as the difference between the year of the seasons
and the Zodiacal year is 3-1/3 seconds of the earth's rotation, it
follows that if this is divided by the number of days in a year
we have the amount which a sidereal day is less than 4th, or an
absolute rotation of the earth. That is, any meridian passes the
Spring equinoctial point 1/110 of a second sooner than the time of
one absolute rotation. These four equations are all founded on the
precession of the equinoxes, and are simply different methods of
stating it. Absolutely and finally, our time is regulated by the
earth's rotation; but strange as it may appear, we do not take one
rotation as a unit. As shown above, we take a rotation to a _movable
point_ which creeps the 1/110 of a second daily. But after all, it is
the _uniform_ rotation which governs. This is the one "dependable"
motion which has not been found variable, and is the most easily
observed. When we remember that the earth is not far from being as
heavy as a ball of iron, and that its surface velocity at the equator
is about 17 miles per minute, it is easy to form a conception of its
uniform motion. Against this, however, we may place the friction
of the tides, forcing up of mountain ranges, as well as mining and
building skyscrapers--all tending to slow it. Mathematicians moving in
the ethereal regions of astronomy lead us to conclude that it _must_
become gradually slower, and that _it is_ slowing; but the amount may
be considered a vanishing quantity even compared with the smallest
errors of our finest clocks; so for uncounted generations past--and to
come--we may consider the earth's rotation uniform. Having now found
a uniform motion easily observed and of convenient period, why not
adopt it as our time unit? The answer has been partially given above
in the fact that we are compelled to use a year, measured from the
Spring equinoctial point, so as to keep our seasons in order; and
therefore as we must have some point where the sidereal clocks and
the meantime clocks coincide, we take the same point, and that point
is the Spring equinox. Now we have three days:--
1st. A sidereal day 1/110 of a second less than one rotation of
the earth.
2nd. One rotation of the earth in 23 hours, 56 minutes and 4
seconds, nearly, of clock time.
3rd. One mean time clock day of 24 hours, which has been explained
previously.
Public-domain text, read in full here on John Shaqi.
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