182 The Adjustment of the Hindu Calendar. [No. 4, 



In the same Ephemeris the North declination on the 13th of April 

 is 20° 9' 17," the obliquity of the ecliptic being 23° 27' 15". ^ 

 Then DN + <o = 43° 36' 32" and »»M. = 3° 17' 58". 

 Hence N. P. D. = 69° 50' 43". 



= 116°49'4" 58 2i 6Z 



|(a + y8) = 21°48'16". 



i( a — fl)= 1°38'59". 



I(a + S Co.Log.Cos 0-03223 



}.lg log- Cos., 999982 



| ^ ._ Log. Cot 9-78888 



Log. tan., 9-82093 



WA+B - ) 33° 30' 30" 



!._/S).„ Log. sin., 8-45930 



lla + % Co. Log. sin., 043082 



lit... L«>§- Cot, 9-78888 



2 . 



i (A _B) = 2°48'Log.tan., 8-68900 



B 30° 42' 30" 



59° 17' 30" 3ft. 57m. 6s. 



Hence by the Nautical Almanac the conjunction is between the 

 20th and 21st April. The Hindu calculations, however, referring the 

 conjunction to the 13th of April, make the year begin at the wron r 



^InThe above rough calculations Acvini is assumed as identical witl 

 B Arietis The Suryasiddhanta gives the polar longitudes of stars n 

 a very curious and arbitrary way. The author mentions certan 

 numbers as bija or root for each star, which numbers multiplied M 

 the constant 10 will give in minutes the polar longitudes of the 

 asterisms. The following are the bijas or roots for Acvini and 

 Bharani, 48, 40. Multiplying the bija for Acvini by the constant 

 10 we get 480' or 8° the bhdga or position of the asterism in its por- 

 tion of its polar longitude. 



Now let 7T = Polar Longitude. 



w = Obliquity of the ecliptic. 



a __ inclination of the declination circle of the star to the 

 ecliptic. 



