Miscellanea Curiosa, Vol. 1: Containing a collection of some of the principal phaenomena in nature, accounted for by the greatest philosophers of this age
History
Miscellanea Curiosa, Vol. 1: Containing a collection of some of the principal phaenomena in nature, accounted for by the greatest philosophers of this age
Natural history; Science -- Early works to 1800; Voyages and travels -- Early works to 1800
_Concerning the Distance of the Fix'd Stars. By the Honourable _Francis
Roberts_, Esq; S. R. S._
The Ancient Astronomers, who had no other way of computing the Distances
of the Heavenly Bodies, but by their Parallax to the Semi-diameter of
the Earth; and being never able to discover any in the fix'd Stars, did
from thence rightly enough infer, that their Distance was very great,
and much exceeding that of the Planets, but could go no farther
otherwise than by uncertain guess.
Since the _Pythagorean_ System of the World has been reviv'd by
_Copernicus_, (and now by all Mathematicians accepted for the true one)
there seem'd Ground to imagine that the Diameter of the Earth's Annual
Course (which, according to our best Astronomers, is at least 40000
times bigger than the Semi-diameter of the Earth) might give a sensible
Parallax to the fix'd Stars, though the other could not, and thereby
determine their Distance more precisely.
But though we have a Foundation to build on so vastly exceeding that of
the Ancients, there are some Considerations may make us suspect that
even this is not large enough for our purpose.
Monsieur _Hugens_ (who is very exact in his Astronomical Observations)
tells us, he could never discover any visible Magnitude in the fix'd
Stars, though he used Glasses which magnified the apparent Diameter
above 100 times.
Now, since in all likelyhood the fix'd Stars are Suns, (perhaps of a
different Magnitude) we may as a reasonable _Medium_ presume they are
generally about the bigness of the Sun.
Let us then (for Example) suppose the Dog-Star to be so. The Distance
from us to the Sun being about 100 times the Sun's Diameter (as is
demonstrable from the Sun's Diameter being 32 Minutes) it is evident,
that the Angle under which the Dog-Star is seen in Mr. _Hugens_'s
Telescope, must be near the same with the Angle of its Parallax to the
Sun's Distance, or Semi-diameter of the Earth's Annual Course; so that
the Parallax to the whole Diameter, can be but double such a quantity,
as even to Mr. _Hugens_'s nice Observation is altogether insensible.
The Distance therefore of the fix'd Stars seems hardly within the reach
of any of our Methods to determine; but from what has been laid down, we
may draw some Conclusions that will much illustrate the prodigious
vastness of it.
1. That the Diameter of the Earth's Annual Orb (which contains at least
160 Millions of Miles) is but as a Point in comparison of it; at least
it must be above 6000 times the Distance of the Sun. For if a Star
should appear thro' the aforesaid Telescope half a Minute broad (which
is a pretty sensible Magnitude) the true apparent Diameter would not
exceed 18 3d Minutes, which is less than the 6000th part of the apparent
Diameter of the Sun, and consequently the Sun's Distance not the 6000th
part of the Distance of the Star.
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