Page:Sewell Dikshit The Indian Calendar (1896) proc.djvu/113

is 4500, or 4333 + half the difference between 4333 and 4667 {Table VIII.), and therefore the indices for the beginning and ending of the 5th karaṇa on śukla 14th are 4333 and 4500, and of the 6th karaṇa on the same tithi 4500 and 4667.

Example xxii(a). Find the karaṇa at sunrise on Wednesday the 7th June, A.D. 1780, Jyeshṭha śukla 5th, Śaka 1702 expired (1703 current).

In examples i. and xv. above we have found (${\displaystyle t}$) at the given sunrise to be 1463. Turning with this to Table VIII. we see that the karaṇa was the 1st or 2nd. The index of the first is 1333 to 1500, and therefore the first karaṇa, Bava, was current at the given sunrise.

156. To find the nakshatra at sunrise, or at any other moment, of an Indian or European date. If the given date be other than a tithi or a European date, turn it into one or other of these. Find the (${\displaystyle a}$) (${\displaystyle b}$) (${\displaystyle c}$) and (${\displaystyle t}$) for the given moment by the method given in Arts. 139, 148 or 151, (Examples i. or xv.) above. Multiply (${\displaystyle c}$) by ten; add 7207 to the product, and from this sum subtract the equation for (${\displaystyle c}$) (Table VII.). Call the remainder (${\displaystyle s}$). Add (${\displaystyle s}$) to (${\displaystyle t}$). Call the result (${\displaystyle n}$). Taken as an index, (${\displaystyle n}$) shows, by Table VIII., col. 6, 7, 8, the nakshatra current at the given moment as calculated by the ordinary system.

157. If the nakshatra according to the Garga or Brahma Siddhânta system is required, use cols. 9 or 10 respectively of Table VIII.

158. The beginning or ending time of the nakshatra can be calculated in the same manner as that of a tithi. Since (r) is expressed in loooths, and looooths of it are neglected, the time will not be absolutely correct.

Example xxiii. Find the nakshatra current at sunrise on Wednesday, Jyeshṭha śukla 5th, Śaka 1702 expired, (7th June, 1780 A.D.)

	t.		c.		Equation for c. (Table VII.)
As calculated in Example i. or xv. above	1463		439		38
Multiply (${\displaystyle c}$) by 10			439	× 10 =	4390
Add					7207
1597
Subtract equation for (${\displaystyle c}$)					38
Add (${\displaystyle s}$) to (${\displaystyle t}$)	1559				1559	${\displaystyle =(s)}$
	3022	${\displaystyle =(n)}$

This result (${\displaystyle n}$) gives Aśleshâ (Table VIII., cols. 6, 7, 8) as the required current nakshatra

The (${\displaystyle n}$) so found 3022 − 2963 (index to beginning point of Aśleshâ) = 59. Therefore Aslesha begins 3 h. 52 m. (Table X., col. 4) before sunrise on the Wednesday. 3333 (end of Aśleshâ) − 3022 (${\displaystyle n}$) = 311, and therefore Aśleshâ ends (19h. 40 m. + 43 m. =) 20 h. 23 m. after sunrise on the Wednesday.

For greater accuracy we may proceed as in Example 1 (Art. 148.)

159. The next problem is to find the yoga at sunrise or at any other moment of an Indian or European date. If the given date is other than a tithi or a European date, turn it