________________
COMPUTATION OF DATES.
421
are therefore as many Yogas as there are lunar mansions, diz. 27. Their names and the portions of each are given in Table IX, together with those of the Nakshatras.
In order to find the Yoga current at a given moment, add the longitudes of the sun and moon, and interpret the sum from Table IX.
Ex.-For the beginning of the day, whose Nakshatra we have calculated above, 4319 K.Y. Margasira-sudi 5, we have found :
Longitude of the sun . . . . . . . 237° 35 Longitude of the moon . . . . . . . 289° 54'
Accordingly degrees of yoga . . . . . 527° 29' or 167° 29° Table IX shows that 167° 29' falls within the portion of the yoga Vyatipâta (160° -1730 20) which therefore was current at the beginning of the day. It ended, and Harshana commenced, after about 25 ghatikás, as the difference 6° 53' (173° 20'-167° 29) is by Table XI =24 gh. 55 p.
I shall now give the calculation of a date which contains all the particulars discussed in the foregoing paragraphs.
Vikrama 1531 (K.Y. 4575), Karttika-sudi 9, Budhavåsare, Dhanishthå-nakshatre Vriddhi-yoge, Kaulava karane, Kumbha-rási-sthite chandre. Calculate first the tithi and weekday
Fer. Titbi. An. gh. p. 4500 K.Y. (0) 20-99 428 + 3 49 Ind. . = 19:56
75 years (8) 19.45 173 + 20 4 Ind. sudi 9=28-58 4575 K.Y. (3) 1044 601 + 23 53 20th Kárttika (1) 27.57 403
(4) 8:01 4 An. 4, eq. 0.43
8.44 Accordingly, on Wednesday (4), at mean sunrise, the 9th tithi was current; it ended about 33 ghatikás (the equivalent of 0-56, see Table IV) later. At the same moment ended the karana Kaulava, No. 18, being the second-half of the pinth tithi.
On the 20th Karttika the lopgitude of the sun is 199° 18' (Table VIII), Cor, for 4575 K.Y. is, as calculated above, + 23gh. 53p. Accordingly 23' 53", or say 24 must be subtracted from the O's longitude. The remainder 198° 51' is the true longitude of the sun at the beginning of the day under consideration.
The distance of sun and moon is 12 X 8.44=101°28 or 101° 17'. Add longitude o to find the ('s longitude 198° 51' +101° 17'=300° 8'. Table IX shows that the moon stands in the Nakshatra Dhanishtha, and Table V that she had just entered Kumbha or Aquarius, when her longitude is 300° 8'.
The yoga is 198° 5' + 300° 8'=498° 59' or 139° 59', and Table IX shows that the yoga Vriddhi was current.
This proves the date to be correct in all particulars. By the rules laid down in $ 20 we find that the day corresponded to the 19th October 1474, (Old Style), a Wednesday.
The place of the Sun. 39. To find for any particular day the sun's place in the ecliptic-either in zodiacal sign or in lunar mansion, we need only use the sun's longitude for the given day (in Table VIII) for the Index of Tables V and IX,nd in the same way as we have used thic