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-78 ON THE ASTRONOMICAL COMPUTATIONS 



For the moon's true motion. The co-sine of her 

 distance from the apogee 2479. 13. Circumference 

 of the epicycle 31 46' 9", and -^V*^' ^ = 

 2 1 8' 47" co-sine in the epicycle. The moon's mean 

 motion from her apogee is 79c/ 35" — 6' 41" = 78^ 



54", and Z^L"^' 4fc 9 ' 53 " the equation of her 

 mean to her true motion, to be subtracted, 790. 35 — 

 49 53 = 74°- 4 2 tne moon's true motion per day, 

 or 740" 42'" per danda. 



For the place of the moon's apogee reduced to the 

 apparent midnight. The motion of the apogee rs 



t' " J ic8' 6"x 6' 41*' /r on/ it 



6 41 per day. ^ . =2 > n 5 7 % 57 —* 

 = n s 7 8' 55" its place. 



■ 



For the same of the node. Its motion per day 

 is 3' 11", and 10 *'^"" ^ 1", and 4' 29° 27' 36"- 

 1 " = 4 s 2 9 27' 35" its place. 



The true longitude and motion, therefore, for the ap- 

 parent time of midnight at Bhagalpur, 7 14404082947 

 solar days after the creation, or commencement of the 

 planetary motions, will be 



Of the Sun, 

 Moon, 



Sun's Apogee, 

 Moon's AgBgee, 

 Moon's Node, 



Longitude. 



6 19 54 11 



— 17 28 28 



Motion ptr Jay. 



60 24 

 740 42 



2 17 17 ^[inconsiderable 



H 7 3 SS 



4 2 9 2 7 35 



6 41 

 3 11 



FOURTH OPERATION. 



Having the longitude and motion as above, to de- 

 termine the tit* hi and time remaining unexpired to 

 the instant of opposition, or full moon. 



