STATIONS NEAR THE NORTHERN BOUNDARY OF OHIO. 261 



the sum of the squares of the errors of the single results derived from 

 its application, far exceeds that which arises from the neglect of it. 



SECTION X. 



Reduction of Captain Talcott's observation of the occultation of t"" 

 Aquarii, at Station No. 2, Turtle Island, Lake Erie, August 9, 1835. 

 Latitude 41° 45' 9", longitude, as above, 5'' 33'^ 31-82 sec. 



''^^chronome;:.^"'' Sidereal Time. Mean Time. 



k. m. s. h. m. s. h. m. s. 



Immersion r" Aquarii, *20 7 59-40 20 8 35-10 10 56 49-55 

 Emersion " " 20 45 1-60 20 45 37-37 11 33 46-15 



Using Bessel's method (Beitrdge zur Theorie der Finsternisse^u. s. w.) 

 Astr. Nachr. No. 152, and enclosing in a parenthesis the letters of his 

 notation, and substituting for his d and d' their equivalents in the no- 

 tation above, viz. — T and — /', we derive, from the moon's and stars' 

 place in the Nautical Almanac, 



(T) = 17" 0™ 0' = mean time Greenwich. 



(P) = —0-195736 



(Q) z= -f-0-624923 



(N) = +67° 46' 55-8" -h(T')x8-1" 



logcos(5) = H- 9.987162 



log(-) = +3-793159 + (T')x 0-000015 



— t' = — 5" 33™ 19-57^ +l-814x(0-l-4-357x® -h 4-720x(>7). 



— t' = —5 32 50-53 +l-814x(f) — 2'807x© — 3-343 x(»7). 



The Greenwich observations, on the 9th and 10th, give, for the cor- 

 rections of the moon's place, at the time of the occultation, 



15 X A (a) z= — 16-38" 

 A (^) = — 2-30" 



* The time of beginning has been increased one minute, a correction found necessary, in 

 several instances, in reducing the transit observations. 



