Ptolemy calls the oscillation a planet’s “anomaly with regard to the
sun,” because (as we have seen when discussing the moveable eccentrics)
it was known to be connected in every case with a planet’s angular
distance from the Sun. On September 24, when Mars was in the middle
of his retrograde arc in Pisces, the sun was exactly opposite, in
the constellation of Virgo. This is found to be always the case, not
only with Mars, but with Saturn and Jupiter too. Whenever one of
these planets has the position O on its epicycle, and therefore is
retrograding, the sun will be found to be exactly opposite in the
sky. Mars comes into this position, and is opposite the sun, once in
780 days; this, therefore, Ptolemy called the period of his epicycle,
while a little less than two years was the period of the deferent. The
two periods of Saturn are 378 days and 29½ years nearly; of Jupiter 399
days and nearly 12 years.
[Illustration: Fig. 31. Venus, Mercury, and the sun.]
Venus and Mercury betray their dependence upon the sun in more striking
fashion, for since these planets simply oscillated from one side to the
other of the sun, their epicycles must be supposed to be keeping pace
with him all the way round the zodiac. Fig. 31 shows their relation
to one another. On September 25, 1911, Mercury was seen from Earth as
a morning star as far west of the sun as it is possible for him to
travel, while Venus, after shining as an evening star all the summer,
had come into line with the sun and become invisible.[51] On December
7 following, the rotation of the epicycles (Ptolemy would say) had
brought both planets to new positions, Mercury now being an evening
star at his “greatest elongation east,” and Venus a morning star. But
the centres of the two epicycles always remain in a line with one
another and the sun, and so their periods on the deferents are the same
as his, viz. one year. The epicyclic periods, or intervals between two
“greatest elongations” west or east, are 116 days for Mercury, 584 days
for Venus.
------------------------------------------------------------------------
[51] Venus had passed her “inferior conjunction with the sun” on Sept.
15.
------------------------------------------------------------------------
We still explain the complicated course of the planets by resolving
it into two approximately circular motions, but we know now that only
one belongs to the planet itself, the other is Earth’s own motion. The
reason why the sun’s position affects the position of every planet
is simply that the epicycles of Mars, Jupiter, and Saturn, and the
deferents of Venus and Mercury are reflections of Earth’s yearly
journey round the sun.
Public-domain text, read in full here on John Shaqi.
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