The grandeur of the scale upon which the visible universe is
fashioned lies almost beyond human comprehension. In measuring the
vast extent of our own solar system, which is but a single unit
in the system of the stars, we may have recourse to some earthly
standard of measurement, such as the mile. But when we desire to
express in terms of units that can be grasped by our imagination, the
distances of the stars that lie far, far beyond, we find that all
ordinary standards of measurement become utterly inadequate for our
purpose. In the measurement of celestial distances within the solar
system the unit employed is either the familiar mile or kilometer or
the "astronomical unit," which is the mean distance from the earth
to the sun (ninety-two million nine hundred thousand miles in round
numbers).
In the measurement of distances _beyond_ the solar system the unit
employed is either the _light-year_ or more recently the _parsec_,
which is rapidly replacing the light-year among astronomers. A
"light-year" is the distance that light, with its finite but almost
unimaginable velocity of one hundred and eighty-six thousand miles
_per second, travels in a year_. It is equal in round numbers to
sixty-three thousand times the distance from the earth to the sun or
approximately six thousand billions of miles. The parsec is equal
to three and twenty-six hundredths (3.26) light-years, and it is
approximately two hundred thousand times the distance from the earth
to the sun. It is "the distance of a star with the _parallax_ of
a second," a fact which its name, parsec, conveys to us. In other
words, at the distance of one parsec the distance from the earth to
the sun, "the astronomical unit," would subtend an angle equal to
one second of an arc. This angle is spoken of as the parallax of the
star. The larger the parallax, that is, the larger the angle the
astronomical unit or radius of the earth's orbit subtends, viewed
from the star, the nearer the star is to us. The fact that there is
no known star within one parsec, or three and twenty-six hundredths
light-years, of the sun shows the immensity of the scale of the
universe of stars.
Before considering the distances of the stars and the extent of the
sidereal system of which our sun and his satellites form a part, let
us undertake to express the distance of the sun, moon and planets
from the earth and the extent of the solar system in terms with which
we are familiar.
The nearest to the earth of all celestial bodies is its satellite,
the moon. So near is the moon that if we should make on some great
plain a model of the solar system in which the astronomical unit, the
distance from earth to sun, would be four hundred feet, the distance
between the earth and moon would be only one foot. On the same scale
the most distant planet Neptune would be two and one-quarter miles
away.
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