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
star-cycles 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.