Astronomy Explained Upon Sir Isaac Newton's Principles: And made easy to those who have not studied mathematicsFerguson, James
Science
Astronomy Explained Upon Sir Isaac Newton's Principles: And made easy to those who have not studied mathematics
Ferguson, James
Astronomy -- Early works to 1800
And thus we find, that on some part of each of the above-mentioned four
days, the Sun and Clocks are equal; but if we work examples for all
other days of the year we shall find them different. And,
[Sidenote: Remark.]
244. On those days which are equidistant from any Equinox or Solstice,
we do not find that the Equation is as much too fast or too slow, on the
one side, as it is too slow or too fast on the other. The reason is,
that the line of the Apsides § 238, does not, at present, fall either
into the Equinoctial or Solsticial points § 242.
[Sidenote: The reason why Equation Tables are but temporary.]
245. If the line of the Apsides, together with the Equinoctial and
Solsticial points, were immoveable, a general Equation Table might be
made from the preceding Equation Tables, which would always keep true,
because these Tables themselves are permanent. But, with respect to the
fixed Stars, the line of the Apsides moves forwards 12 seconds of a
degree every year, and the above points 50 seconds backward. So that if
in any given year, the Equinoctial points, and line of the Apsides were
coincident, in 100 years afterward they would be separated 1 degree 43
minutes 20 seconds; and consequently in 5225.8 years they would be
separated 90 degrees, and could not meet again, so that the same
Equinoctial point should fall again into the Apogee in less than 20,903
years: and this is the shortest Period in which the Equation of Time can
be restored to the same state again, with respect to the same seasons of
the year.
CHAP. XIV.
_Of the Precession of the Equinoxes._
246. It has been already observed, § 116, that by the Earth’s motion on
it’s Axis, there is more matter accumulated all round the equatoreal
parts than any where else on the Earth.
The Sun and Moon, by attracting this redundancy of matter, bring the
Equator sooner under them in every return towards it than if there was
no such accumulation. Therefore, if the Sun sets out, as from any Star,
or other fixed point in the Heavens, the moment he is departing from the
Equinoctial or either Tropic, he will come to the same again before he
compleats his annual course, so as to arrive at the same fixed Star or
Point from whence he set out.
When the Sun arrives at the same [56]Equinoctial or Solstitial Point, he
finishes what we call the _Tropical Year_, which, by long observation,
is found to contain 365 days 5 hours 48 minutes 57 seconds: and when he
arrives at the same fixed Star again, as seen from the Earth, he
compleats the _Sidereal Year_; which is found to contain 365 days 6
hours 9 minutes 14-1/2 seconds. The _Sidereal Year_ is therefore 20
minutes 17-1/2 seconds longer than the Solar or Tropical year, and 9
minutes 14-1/2 seconds longer than the Julian or Civil year, which we
state at 365 days 6 hours: so that the Civil year is almost a mean
betwixt the Sidereal and Tropical.
[Sidenote: PLATE VI.]
Public-domain text, read in full here on John Shaqi.
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