22 



PREDICTION OF OCCULTATIONS. 



February 20th, 1851. |' lAbrce. 



T = 12 5"i .8 



d = + o 53 .8 



T+d = 13 45.6 



logsini) = — 9.2917 



H= - 58Y.4 

 (^ = + 13 27.0 



■2"+<^ = — 44 37-4 

 logeos-D = + 9.9915 



P = — 0.5744 



2 = + 0.8880 



P' = + °-554<5 



5' = — 0.1824 



Calculation. 



(Table, page 18, Arg. $) log.4 



log sin <p 



log Asm. (p = log?- sin <p' 



log cos Z) 



logrsincf'cosi? 



(Table, page 18, Arg. $) log 5 



log cos <p 



logj-eos<{)' 



logsin(Zr+fO 



log»'COS(f)'sin(jff+<:?) := logw = loga 



logcos(iZ'+(?) 



log 6 



log A 



log a A 



log sin D 



log h sin _Z) 



logu' 



logw' 



T sin Cp cos -D 



JsinZ> 



logrcos<f)'cos(jy+(^) = 



IogaAsinZ> = 

 log&A = 



rsin$cosi> — Jsini? 

 2 — f = 



a := 



p — M = 



7?i COS M 



p 



m sin M 



v' 



naosl^ 



P 



n sin N 



log m sin J/ 



log m cos -M" 

 logtanilf 



log COS J/ 



log»i 



logwsiniV" 



lograco.siV 



log tan iV 



log sin N 



logm 



— loe— 



Immersion : Halifax Mean Time 



9.9978 

 + 9.8469 



Hr 9.8447 



+ 9-9915 



+ 9-8362 



0.0007 

 4- 9-8521 

 + 9.8528 



— 9.8466 



— 9-6994 

 + 9-8523 

 + 9-7°5i 



9.4192 



— 9.1186 

 2917 

 9968 



4103 

 1243 

 6858 



0993 

 7851 

 8880 

 1029 

 5005 

 5744 

 0739 

 0257 

 1824 

 2081 



1331 



5546 

 4215 

 8686 

 01 24 

 8562 

 9097 

 1027 

 6248 



3'83 

 3065 

 9526 

 6722 

 43°5 



-f 8 

 + 9 

 + 



+ 

 + 

 + 



M 



N 

 M-N 



270°— iV" 



4' 



For Immersion, 270° — N — 4^= Q 



\ogsm{M — N) 



log m 



log m sin (J/ — A") 



\ogk 



log cos 4/ 



log sin tj/ 



log h sin v}/ 



logji 



log(i) 



log cos (if— A) 



-log™ 



log- 



m sin (IT— A') 



log- 



k sin v|/ 



-oos(J!f— A) = 



For Immersion, (2) — (i) = 

 For Emersion, (2) + (i) = 

 log)!, 





log (2) 

 (2) 

 (0 



\ogt 



logM' 



log t v! 

 log v' 

 Xagtv' 



tv' 



V 



V + tv' 

 til' 



u-\-tu' 



l0g(« + tu') 



log(f + tv') 

 log tan P 



324°i9[o 

 116 16.7 

 208 02.3 

 270 00.0 



153 43-3 



102 37.2 



51 06.1 



- 9.6721 

 + 9.1027 



- 8.7748 

 9-4354 



— 9-3394 

 + 9-9894 

 + 9-4248 

 + 9.6722 



+ 9-7S^6 



— 9-9458 



T+d 

 (Reduced to hours and minutes) t^ 



T + d + t^ 



P 



— 9 

 + 9 

 + 

 + 



-f 



- 9 

 + 9 



- 8 

 + 8 



- 7 



+ 



Immersion Angle from North Point ^ 

 Immersion Angle from Vertex = Q-\- P z= 



V 



4305 

 3763 

 2379 

 5657 

 3278 

 8036 

 5156 



1243 

 .6399 

 .4103 

 .9259 



0084 

 7851 



77^7 

 ,0436 



— -5°°5 



— .5441 



— 9-7357 

 + 9-8903 



— 9-8454 



13 45-6 

 — o 19.7 



13 25.9 

 — 35°oo:7 



51 06.1 



16 05.4 



Emersion ; Halifax Mean Tme = 



(Reduced) 



T+d + t, 



+ o 48.2 

 H 33-8 



