IN PHYSICAL ASTRONOMY. 
367 
r 4 = 0 0535010 r 4 - 97596140 R 4 - 7-8675954 R 4 ' 
r 5 = — 7-7463524 r 5 + 0-2995642 R 5 + 0-2995642 R 5 ' 
r 6 = 0- 1 6 1 7938 r 6 - 0-291 7755 R 6 - 8-5887003 R' 6 
r 7 = 0*1326574 r 7 - 0-1741219 R 7 — 8-4541703 R 7 ' 
r a = - 8-2495414 r 9 + 0-2456727 R y - 0-0558873 R 9 ' 
r J0 = 0-0267023 1 10 - 9-4699640 R 10 - 7-4508570 R 10 ' 
r u = 0-9148582 tr n - 1-4456131 R n - 0-0060992 R n ' 
r 12 = 0-1990183 r 12 + 1-0704790R 12 + 9-6909293 R n ' 
r l3 = 0-0504044 r 13 - 9*7282013 R 13 — 7 8306471 R iS ' 
r 14 = 0-7176313 r 14 + 1-4125573 R 14 + 0 0058216 R 14 ' 
r 15 = - 0-8282531 t I5 + 1-5070002 R 15 + 0-0926384 R IS ' 
r 16 = 0-0568761 r 16 - 97921334 R l6 - 7'9057198 R I6 ' 
r l7 = - 8-3558051 1 17 + 0-3069571 R 17 + 0-3069571 R 17 ' 
r, 8 = 0-1803182r ig - 0-3576881 R 18 - 8-6633026 R 18 ' 
r 19 = 0-1210357r 19 - 0-1210357 R 19 - 8 3928848 R 19 ' 
r I0 , = - 0-7701834 r 101 + 1-5505062 R I01 + 0-0464175 R 10I ' 
r 102 = - 7-6416818r 102 + 0-436591 1 R 102 - 0-3511 177 R 10s ' 
r 103 = 0-1340779 t 103 - 0-2746455 R 103 - 8-4613229 R 103 ' 
r i 04 = — 0*4 1 3 1 392 r 104 + 1-2823979 R 104 + 979921 16 R 104 ' 
These quantities introduce into the expression for the longitude expressed 
in sexagesimal seconds, the terms, 
+ {5-4942896 t l -5-5790306 R 1 -3-8674341 R/}sin2* [4-7798951] 
+ {- 4-8656743 r 3 + 5 6361652 R 3 + 4-2382615 R 3 '} sin (2 t-x) [4-1857212] 
+ {3-9544710 r 4 - 3-6605840 R 4 - 17685654 R 4 '} sin (2 t + x) [3-1463242] 
+ {- 2-7130189 r 5 + 5-2662307 R b + 5-2662307 R b '} sin 2 [5-7917274] 
+ {3-7530252 r 6 - 3-8830069 R 6 - 2-1799317 R 6 '} sin (2 t-z) [3-0408572] 
+ {3-6887576 r 7 -3-7302221 R 7 - 2-0102705 R/} sin (2 t + 2 ) [2*9705948] 
+ {2-2203935 r 9 - 4-2165248 R 9 + 4-0267394 R 9 '} sin (2 < - 2 ar) [4 5469577] 
+ {2-5368240 r 10 — 1 -9800857 R i0 - 9-9609787 R 10 '} sin (2 i + 2ar) [1-6254969] 
+ {3-4666708 r„ - 3-9974257 R n - 2-55791 18 R n '} sin (ar + 2 ) [2-2228889] 
3 B 2 
