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ON THE ASTRONOMICAL COMPUTATIONS 



Of the Sun, 

 Moon, 

 Node, 



Sun's Apogee, 

 Moon's Apogee, 



Mean longitude 

 for midnight un- 

 der the meridian 

 ^/"Lanca. 



Q / " '// 



21 44 2 12 



21 21 58 56 



29 2J 40 28 



17 17 15 — 



7 9 6 3 



Deduct for the 

 longitude of 

 Bh3galpur as 

 * 8o° 50' of 

 equator east. 



I 27 



J 9 34 



— 4 



inconsiderable 



— 9 



Mif«« longitude 

 for midnight at 

 Bhagalpur. 



6 21 42 35 12 



—21 2 25 — 



4 29 27 36 — 



2 17 17 16 — » 



11 7 8 57 — 



THIRD OPERATION. 



For the equated longitude of the Sun and Moon, 

 Sec. 



1 st. Of the Sun. 



The mean longitude of the sun is 6' 21 42' 35" 

 1 2'"; of the apogee 2 17 17 15, the difference, or 

 mean anomaly, 4= 4 25' 20"; its complement to 6 

 signs or distance from the perigee i % 25 34' 40'', 

 the equation for which is required. This may either 

 be taken from the foregoing table, translated from Ma- 

 caranda, or calculated in the manner explained as 

 follows : 



Thesineof 1*25 34 40 1S2835 31 and — --^. — 

 = 14' 30" to be subtracted from the paridhi degrees 

 in soma ; 14 — 14' 30" = 13° SI 3°~> tne circum- 

 ference of the epicycle in this point of anomaly ; and 



!f*Lv!*p*Jl' =. 10 8- 61" the sine of the angle of 



360° ° 



equation, considered as equal to its arc, or i° 48' 6", to 

 be deducted from the mean, for the true longitude ; 



* This longitude, assigned to Bhagalpur, is erroneous ; but the 

 error does not in the leaft affect the main object of the paper. 



