SOLAR ECLIPSE OF MAY 14, 15, 1836. 393 



Robert Treat Paine, Esq. has informed me that he has found the 

 longitude of Brown University, Providence, Ah 45m 42* "03, and that 

 of Dorchester, 4h 44m 20"-45, from the observations of this eclipse, at 

 these two places and at Greenwich. In making the computations he 

 has used, tn= — 3 "-60, d (3 = — 7 "-63, fl (o -H d) = — 1'''87. 

 The longitude of Providence from Boston is the same by both com- 

 putations. 



The mean time of the ecliptic conjunction, by the N. Almanac, is 

 2A 7m 0"'3 ; by observations as above, Qh Im 5'Q5s; whence, 

 d?^ = — 2"'276. 



The corrections, d2,, d^ and rfw, from R mker's equations, may 

 readily be referred to the moon's orbit, and its secondaries, by means 

 of formulae derived from Airy's Table of Factors (Greenwich obser- 

 vations, 1836), and from Bessel's Theory of Equations, as follows: 



A a = 15 



S A A + Qa/3 

 PS — QR~ 



^^ ^ PS_QR 



e = siti N cos 6 A a + cos N a ^ 



^ = — cos N cos 6 A a -f- sin N a 5 — » cos ir a 5r 



Where, from Peters's co-ordinates for 3h m. t., Berlin, and Airy's 

 factors, we have, 



X = -f- 0-47147 = L sin 1" cosec^, 



L = least distance of centres on true orbit in seconds of arc. 



N = 70° ir 10"'4 = moon's orbital angle. 



= moon's true right ascension. 



= moon's true declination. 



= moon's horizontal equatorial parallax. 



a =r:: 





52 



13 



48 "-2 



6 = 



-f- 



19 



22 



40"-3 



n- = 







54 



24"- 1 



P = 



+ 







13"-720 



Q = 



— 







0"-244 



R = 



-1- 







3"-470 



S = 



+ 







0"-969 



