170 Journal of the Asiatic Society of Bengal [N.S., XV, 
If S, 8, So, ete., peice the orbit of the sun, then B, S), 
B,S,, B, S55 etc., represent the distance of the planet from "the 
sun , and, 8 since ES is, apa the superior planets,* always aie 
lel to AB (because the period of B is the same as that o 
namely the sidereal year), BS is always equal to HA. 
anet is nearest the earth when in opposition and 
burihieat pine when in conjunction. 
e superior and inferior planets require different 
treatment with reference to the relative motions in the defer- 
If the anomaly (that is the ges in the 
epicycle) be reckoned in the more modern way from the 
radius A,6, always parallel to the original ditestion Ay Bos 
then the following scheme holds + :— 
PERIopDS OF REVOLUTION. 
On the deferent. | On the epicycle. 
Superior planets | Sidereal period of | Sidereal year. 
MODERN Way i planet. 
Inferior Sidereal year. 
9° 
weet ce Hagens of 
plan 
But the Greeks and the Hindus generally er the anomaly 
from the directions HA), HA), etc., that is from the apogee of 
the epicycle, and consequently the sate were— 
Superior planets 
ANCIENT WAY 
Inferior 
” 
Hindu s 
15. The 
disturbing curses of the 
On the deferent. 
On the epicycle. 
Sidereal period of 
Pp * 
Sidereal year. 
secs period of 
synodie period of 
plane 
the Sirya Siddhanta (ii, 1-4), as follows :-— 
cheme.—The general explanation of the 
planetary motions is, in the wo: f 
Mercury 
6 same as 
+ In 4 wit may be termed the ‘modern 
while the « 
and Venus the centre of the epicycle is on the line 
psy to the ae re of the sun, since in these c: 
of 
ases the period of 
anomaly’ is v + u, 
lanet 
maly ’ is v; and, since for a superior p 
eernters +1/P. or (Pc + P,)/Pe= P/E; 
Sociale et ae 
+/H, wehave v/u=P,/ Pz. 
Similarly for an 
