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
216. It is found by observation, that when the Earth is between the Sun
and Jupiter, as at _g_, his Satellites are eclipsed about 8 minutes
sooner than they should be according to the Tables: and when the Earth
is at _B_ or _C_, these Eclipses happen about 8 minutes later than the
Tables predict them. Hence it is undeniably certain, that the motion of
light is not instantaneous, since it takes about 16-1/2 minutes of time
to go through a space equal to the diameter of the Earth’s Orbit, which
is 162 millions of miles in length: and consequently the particles of
light fly about 164 thousand 494 miles every second of time, which is
above a million of times swifter than the motion of a cannon bullet. And
as light is 16-1/2 minutes in travelling across the Earth’s Orbit, it
must be 8-1/4 minutes in coming from the Sun to us: therefore, if the
Sun were annihilated we should see him for 8-1/4 minutes after; and if
he were again created he would be 8-1/4 minutes old before we could see
him.
[Sidenote: Fig. V.
Illustrated by a Figure.]
217. To illustrate this progressive motion of light, let _A_ and _B_ be
the Earth in two different parts of it’s Orbit, whose distance is 81
millions of miles, equal to the Earth’s distance from the Sun _S_. It is
plain, that if the motion of light were instantaneous, the Satellite 1
would appear to enter into Jupiter’s shadow _FF_ at the same moment of
time to a spectator in _A_ as to another in _B_. But by many years
observations it has been found, that the immersion of the Satellite into
the shadow is seen 8-1/4 minutes sooner when the Earth is at _B_, than
when it is at _A_. And so, as Mr. ROMER first discovered, the motion of
light is thereby proved to be progressive, and not instantaneous, as was
formerly believed. It is easy to compute in what time the Earth moves
from _A_ to _B_; for the chord of 60 degrees of any Circle is equal to
the Semidiameter of that Circle; and as the Earth goes through all the
360 degrees of it’s Orbit in a year, it goes through 60 of those degrees
in about 61 days. Therefore, if on any given day, suppose the first of
_June_, the Earth is at _A_, on the first of _August_ it will be at _B_:
the chord, or straight line _AB_, being equal to _DS_ the Radius of the
Earth’s Orbit, the same with _AS_ it’s distance from the Sun.
218. As the Earth moves from _D_ to _C_, through the side _AB_ of it’s
Orbit, it is constantly meeting the light of Jupiter’s Satellites
sooner, which occasions an apparent acceleration of their Eclipses: and
as it moves through the other half _H_ of it’s Orbit, from _C_ to _D_,
it is receding from their light, which occasions an apparent retardation
of their Eclipses, because their light is then longer ere it overtakes
the Earth.
Public-domain text, read in full here on John Shaqi.
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