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
342. The nearer that the Penumbra’s center is to the Equator at the
middle of the general Eclipse, the longer is the duration of the Eclipse
at all those places where it is central; because, the nearer that any
place is to the Equator, the greater is the Circle it describes by the
Earth’s motion on its Axis: and so, the place moving quicker keeps
longer in the Penumbra whose motion is the same way with that of the
place, tho’ faster as has been already mentioned § 337. Thus, (see the
Earth at _D_ and the Penumbra at _12_) whilst the point _b_ in the polar
Circle _abcd_ is carried from _b_ to _c_ by the Earth’s diurnal motion,
the point _d_ on the Tropick of Cancer _T_ is carried a much greater
length from _d_ to _D_: and therefore, if the Penumbra’s center goes one
time over _c_ and another time over _D_, the Penumbra will be longer in
passing over the moving place _d_ than it was in passing over the moving
place _b_. Consequently, central Eclipses about the Poles are of the
shortest duration; and about the Equator of the longest.
[Sidenote: And shortens the duration of some which fall within these
Circles.]
343. In the middle of Summer the whole frigid Zone included by the polar
Circle _abcd_ is enlightened; and if it then happens that the Penumbra’s
center goes over the north Pole, the Sun will be eclipsed much the same
number of Digits at _a_ as at _c_; but whilst the Penumbra moves
eastward over _c_ it moves westward over _a_, because with respect to
the Penumbra, the motions of _a_ and _c_ are contrary: for _c_ moves the
same way with the Penumbra towards _d_, but _a_ moves the contrary way
towards _b_; and therefore the Eclipse will be of longer duration at _c_
than at _a_. At _a_ the Eclipse begins on the Sun’s eastern limb, but at
_c_ on his western: at all places lying without the polar Circles, the
Sun’s Eclipses begin on his western limb, or near it, and end on or near
his eastern. At those places where the Penumbra touches the Earth, the
Eclipse begins with the rising Sun, on the top of his western or
uppermost edge; and at those places where the Penumbra leaves the Earth,
the Eclipse ends with the setting Sun, on the top of his eastern edge
which is then the uppermost, just at its disappearing in the Horizon.
[Sidenote: The Moon has no Atmosphere.]
344. If the Moon were surrounded by an Atmosphere of any considerable
Density, it would seem to touch the Sun a little before the Moon made
her appulse to his edge, and we should see a little faintness on that
edge before it were eclipsed by the Moon: But as no such faintness has
been observed, at least so far as I ever heard, it seems plain, that the
Moon has no such Atmosphere as that of the Earth. The faint ring of
light surrounding the Sun in total Eclipses, called by CASSINI _la
Chevelure du Soleil_, seems to be the Atmosphere of the Sun; because it
has been observed to move equally with the Sun, not with the Moon.
[Sidenote: PLATE XI.]
Public-domain text, read in full here on John Shaqi.
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