i6
ALBERUNTS INDIA.
Aryabhata
quoted by
Brahma¬
gupta.
Number of
the rota¬
tions of the
planets iu a
kalpa.
Page 209.
from the equation (i.e. from the correction of the places
of the stars, the computation of their mean places).
Then he added to the cycles of Saturn one cycle more,
and compared his calculation with the actual motion of
the planet, till at last he found the calculation of the
cycles completely to agree with astronomical observa¬
tion. In accordance with this correction he states the
starcycles in his canon.
Brahmagupta relates a different theory regarding the
cycles of the apsides and nodes of the moon, on the
authority of Aryabhata. We quote this from Brah¬
magupta, for we could not read it in the original work
of Aryabhata, but only in a quotation in the work of
Brahmagupta.
The following table contains all these traditions, which
will facilitate the study of them, if God will!
Number of their
Number of the
Number of the re¬
The planets.
revolutions in
revolutions of
volutions of their
a Kalpa.
their apsides.
nodes.
Sun
4,320,000,000
480
Has no node.
Brahmagupta .
0
1
232,311,168
The translation
0
0
[ 488,105,858
232,312,138
of Alfazari .
0"
J
c
Aryabhata
0
488,219,000
232,316,000
0'
The anomalistic
ro
57,265,194,142
The anomalistic
S
revolution of
r^
revolution of the
the moon ac
moon is here
cording to
treated as if it
i. Brahmagupta
were the apsis,
being the differ
encebetweenthe
motion of the
moon and that
of the apsis. (See
the notes.)
Mars
2,296,828,522
292
267
Mercury .
17,936,998.984
332
521
Jupiter .
364,226,455
855
63
Venus
7,022,389,492
653
893
TBrahmagupta
146,567,298
1
d 1 The translation
146,569,284
B I of Alfazari
r 41
584
t^ The correction
146,569,238
\^ of Alsarakhsl
The fixed stars
J
120,000 a
3cording to the t
ranslation of
Alfazirl.
