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
The motion of an inferior planet is _direct_ in passing through its
superior conjunction, and _retrograde_ in passing through its inferior
conjunction. You will recollect that the motion of a heavenly body is
said to be direct when it is in the order of the signs from west to
east, and retrograde when it is contrary to the order of the signs, or
from east to west. Now Venus, while going from B through D to A, (Fig.
51,) moves from west to east, and would appear to traverse the celestial
vault B´ S´ A´, from right to left; but in passing from A through C to
B, her course would be retrograde, returning on the same arc from left
to right. If the earth were at rest, therefore, (and the sun, of course,
at rest,) the inferior planets would appear to oscillate backwards and
forwards across the sun. But it must be recollected that the earth is
moving in the same direction with the planet, as respects the signs, but
with a slower motion. This modifies the motions of the planet,
accelerating it in the superior, and retarding it in the inferior,
conjunction. Thus, in Fig. 51, Venus, while moving through B D A, would
seem to move in the heavens from B´ to A´, were the earth at rest; but,
mean-while, the earth changes its position from E to E´, on which
account the planet is not seen at A´, but at A´´, being accelerated by
the arc A´ A´´, in consequence of the earth's motion. On the other hand,
when the planet is passing through its inferior conjunction A C B, it
appears to move backwards in the heavens from A´ to B´, if the earth is
at rest, but from A´ to B´´, if the earth has in the mean time moved
from E to E´, being retarded by the arc B´ B´´. Although the motions of
the earth have the effect to accelerate the planet in the superior
conjunction, and to retard it in the inferior, yet, on account of the
greater distance, the apparent motion of the planet is much slower in
the superior than in the inferior conjunction, Venus being the whole
breadth of her orbit, or one hundred and thirty-six millions of miles
further from us when at her greatest, than when at her least, distance,
as is evident from Fig. 51. When passing from the superior to the
inferior conjunction, or from the inferior to the superior, through the
greatest elongations, the inferior planets are _stationary_. Thus, (Fig.
51,) when the planet is at A, the earth being at E, as the planet's
motion is directly towards the spectator, he would constantly project it
at the same point in the heavens, namely, A´; consequently, it would
appear to stand still. Or, when at its greatest elongation on the other
side, at B, as its motion would be directly from the spectator, it would
be seen constantly at B´. If the earth were at rest, the stationary
points would be at the greatest elongations, as at A and B; but the
earth itself is moving nearly at right angles to the planet's motion,
which makes the planet appear to move in the opposite direction. Its
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