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
Let the circle _B_ be the Sun as seen from any Planet, at a given
distance; to another Planet, at double that distance, the Sun will
appear just of half that breadth, as _A_; which contains only one fourth
part of the area or surface of _B_. For, all circles, as well as square
surfaces, are to one another as the squares of their diameters. Thus,
the square _A_ is just half as broad as the square _B_; and yet it is
plain to sight, that _B_ contains four times as much surface as _A_.
Hence, in round numbers, the Sun appears 7 times larger to Mercury than
to us, 90 times larger to us than to Saturn, and 630 times as large to
Mercury as to Saturn.
[Sidenote: Fig. V.
Proportional bulks and distances of the Planets.
PLATE I.]
88. In Fig. 5th, we have a view of the bulks of the Planets in
proportion to each other, and to a supposed globe of two foot diameter
for the Sun. The Earth is 27 times as big as Mercury, very little bigger
than Venus, 5 times as big as Mars; but Jupiter is 1049 times as big as
the Earth, Saturn 586 times as big, exclusive of his Ring; and the Sun
is 877 thousand 650 times as big as the Earth. If the Planets in this
Figure were set at their due distances from a Sun of two feet diameter,
according to their proportional bulks, as in our System, Mercury would
be 28 yards from the Sun’s center; Venus 51 yards 1 foot; the Earth 70
yards 2 feet; Mars 107 yards 2 feet; Jupiter 370 yards 2 feet; and
Saturn 760 yards two feet. The Comet of the year 1680, at it’s greatest
distance, 10 thousand 760 yards. In this proportion, the Moon’s distance
from the center of the Earth would be only 7-1/2 inches.
[Sidenote: An idea of their distances.]
89. To assist the imagination in conceiving an idea of the vast
distances of the Sun, Planets, and Stars, let us suppose, that a body
projected from the Sun should continue to fly with the swiftness of a
cannon ball; _i. e._ 480 miles every hour; this body would reach the
Orbit of Mercury, in 7 years 221 days; of Venus, in 14 years 8 days; of
the Earth, in 19 years 91 days; of Mars, in 29 years 85 days; of
Jupiter, in 100 years 280 days; of Saturn, in 184 years 240 days; to the
Comet of 1680, at it’s greatest distance from the Sun, in 2660 years;
and to the nearest fixed Stars in about 7 million 600 thousand years.
[Sidenote: Why the Planets appear bigger and less at different times.]
90. As the Earth is not the center of the Orbits in which the Planets
move, they come nearer to it and go farther from it and at different
times; on which account they appear bigger and less by turns. Hence, the
apparent magnitudes of the Planets are not always a certain rule to know
them by.
[Sidenote: Fig. I.]
Public-domain text, read in full here on John Shaqi.
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