Letters on Astronomy: in which the Elements of the Science are Familiarly Explained in Connection with Biographical Sketches of the Most Eminent AstronomersOlmsted, Denison
Science
Letters on Astronomy: in which the Elements of the Science are Familiarly Explained in Connection with Biographical Sketches of the Most Eminent Astronomers
Olmsted, Denison
Astronomy
Now, when the moon is in conjunction, her gravity towards the earth
acts in opposition to that towards the sun, (see Fig. 38, page 175,)
while her velocity remains too great to carry her with what force
remains, in a circle about the sun, and she therefore recedes from the
sun, and commences her revolution around the earth. On arriving at the
opposition, the gravity of the earth conspires with that of the sun, and
the moon's projectile force being less than that required to make her
revolve in a circular orbit, when attracted towards the sun by the sum
of these forces, she accordingly begins to approach the sun, and
descends again to the conjunction.
The attraction of the sun, however, being every where greater than that
of the earth, the actual path of the moon around the sun is every where
concave towards the latter. Still, the elliptical path of the moon
around the earth is to be conceived of, in the same way as though both
bodies were at rest with respect to the sun. Thus, while a steam-boat is
passing _swiftly_ around an island, and a man is walking _slowly_ around
a post in the cabin, the line which he describes in space between the
forward motion of the boat and his circular motion around the post, may
be every where concave towards the island, while his path around the
post will still be the same as though both were at rest. A nail in the
rim of a coach-wheel will turn around the axis of the wheel, when the
coach has a forward motion, in the same manner as when the coach is at
rest, although the line actually described by the nail will be the
resultant of both motions, and very different from either.
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