Astronomy: The Science of the Heavenly BodiesTodd, David P. (David Peck)
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Astronomy: The Science of the Heavenly Bodies
Todd, David P. (David Peck)
Astronomy
Now in like manner, to transfer the process to the sky, let the two ends
of the base be represented by two astronomical observatories, for
example, Greenwich in the northern hemisphere and Cape Town in the
southern. The base line is the chord or straight line through the earth
connecting the two observatories, and we know the length of this line
pretty accurately, because we know the size of the earth. The angles
measured are somewhat different from those in the terrestrial example,
but the process amounts to the same thing because the astronomers at the
two observatories measure the angular distance of the center of the moon
from the zenith, each using his own zenith at the same time; and the
same science of trigonometry enables them to figure out the length of
any side of the triangles involved. The side which belongs to both
triangles is the distance from the center of the earth to the center of
the moon, and the average of many hundred measures of this gives 238,800
miles, or about ten times the distance round the equator of the earth.
We have said that the orbit in which the moon travels round the earth is
practically a circle, but the earth's center is found not at the center
of this orbit, but set to one side, or eccentrically, so that the
distance spanning the centers of the two bodies is sometimes as small as
221,610 miles at perigee, and 252,970 miles at apogee. The moon's speed
in this orbit averages rather more than half a mile every second of
time--more accurately 3,350 feet a second, or 2,290 miles per hour.
Once the moon's distance is known, its size or diameter is easy to
ascertain. An angular measure is necessary, of course, that of the angle
which the disk of the moon fills as seen from the earth. There are many
types of astronomical instruments with which this angle can be measured,
and its value is something more than half a degree (31'7"). The moon's
actual diameter figures out from this 2,163 miles; and it would
therefore require nearly fifty moons merged in one to make a ball the
size of the earth.
Still, no other planet has a satellite as large in proportion to its
primary as the moon is in relation to the earth. But the materials that
compose the moon have less than two-thirds the average density of those
that make up the earth, so that eighty-one moons fused together would be
necessary to equal the mass or weight of the earth. If we figure out the
force of attraction of the moon for bodies on its surface, we find it
equals about one-sixth that of the earth. Athletes could perform some
astounding feats there--miracles of high jump and hammer-throw.
Public-domain text, read in full here on John Shaqi.
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