Astronomy and Cosmology

Author(s): L C Jain
Publisher: Rajasthan Prakrit Bharti Sansthan Jaipur

Page 37

rajju, Muni Mahendra Kumar 11, goes still further and first finds the value of Širşa prahelikā :44 Māthuri vācanā, 7.58 x 10 193 Vālabhya vācanā, 1.87 X 10249 Using the Māthuri vācanā value, he finds the least yoked innumerate (jaghanya yukta asamkhyāta to be (7.58 x 10193) (700x 10"), ie, the value raised to its own power, or multiplied as many times as it is. This gives the number of instants in an avalikā.
Now I muhūtra = 48 minutes = 1,67,77,216 avalikās and 6 months = 5400 muhūrtas. This, ultimately leads to the value of a rajju, as per definition of Colebrooke to be 1 rajju = 1.86 x 10 { ( 1.47 x 10186) + 17} yojanas. When a yojana is taken to be 4000 miles, then 1 rajju = 7:44 x 10 { ( 1.47 x 10196) + 20 } miles
= 1.45x10{ ( 1:45 x 10 196 ) + 8 } light years. ANOTHER VALUE OF RAJJU 45
There is one more basis on which the value of rajju could be calculated. If the number of the continuous stretch of the islands and oceans upto the Svayambhūramaņa ocean, in the intermediate universe
aken to be n, then the following equation gives the value of a rajju : log2 ( rajju ) = n + (1 or Samkhyāta) + log2 (diameter of
Jambūdvipa ), where n could be related as
ورک _
rajjal
=
...... (I)
n - 5
log
- 240 pramānāngula 1 - Samkhyāta, Now the total number of astral bodies are given to be 7 rajjus
21 256 pramāņāigula 1655361
....... (II) which may be calculated to be approximately as ( 669 x 1018 )564 176 {2 (3-6)} – 2(0-5) – 57 ...... (III) the value of a rajju could be calculated by equating I and III. 44. Cf. V, P., pp. 116 - 119. 45. Cf. T. P. G., pp. 99-102.
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