IN PHYSICAL ASTRONOMY. 
367 
r 4 = 0-0535010 r 4 - 97596140 R 4 - 7-8675954 R 4 ' 
r, = — 77463524 V s + 07995642 R 5 + 07995642 RJ 
r 6 = 0-1617938 r 6 - 07917755 R s - 8-5887003 R' 6 
r 7 = 0-13265741 7 - 0-1741219 R 7 - 8-4541703 R 7 ' 
r a = - 8-2495414 V a + 0-2456727 R u - 0-0558873 RJ 
r 10 = 0-0267023 r 10 - 9*4699640 R l0 - 7’4508570 R w ' 
r u = 0-9148582 r„ - 1*4456131 R u - 0-0060992 R u ' 
r 12 = 0-1990183 r,„+ P0704790 R,„ + 9-6909293 R 12 ' 
r, 3 = 0-0504044 r 13 - 9-7282013 R l3 — 7 8306471 R 13 ' 
r 14 = 0-7176313 r 14 + 1-4125573 J? 14 + 0 0058216 R 14 ' 
r„ = - 0-8282531 t lb + 1-5070002 R 15 + 0-0926384 R lb ' 
r I6 = 0-0568761 r 16 - 97921334 R 16 - 7*9057198 R i6 ' 
r„ = - 8-3558051 1 17 + 0-3069571 R 17 + 0 3069571 R 17 ' 
r I8 = 0-1803182r ls - 0-3576881 R 18 - 8-6633026 R 18 ' 
r 19 = 0-1210357 r 19 - 0-1210357 R 19 -8-3928848 R ig ' 
r 101 = - 0-7701834 r 101 + 1-5505062 R 101 + 0-0464175 R 101 ' 
r 102 = - 7-6416818 r 102 + 0-4365911 R l03 - 0-3511177 R lM ’ 
r I03 = 0-1340779 r 103 - 0*2746455 R 103 - 8-4613229 R 103 ' 
r 104 = -0-4131392r 104 + 1-2823979 fi 104 + 97992116 R, 04 ' 
These quantities introduce into the expression for the longitude expressed 
in sexagesimal seconds, the terms, 
+ {5-4942896 r, - 5-5790306 R, -3-8674341 R/} sin 2 t [4-7798951] 
+ {_ 4-8656743 r 3 + 5-6361652 R s + 4-2382615 R 3 '} sin (2 t - x) [4-1857212] 
+ {3-9544710r 4 -3-6605840 R 4 - 1-7685654 R 4 '} sin (2 t + x) [3-1463242] 
+ {- 27130189 r 5 + 5-2662307 R 5 + 5-2662307 R b '} sin 2 [5-7917274] 
-I- { 3-7530252 r e - 3-8830069 R 6 - 2-1799317 R 6 ’} sin (2 1 - z) [3-0408572] 
+ {3-6887576r ? -37302221 R 7 - 2-0102705 R/} sin (2 t + z) [2-9705948] 
+ {2-2203935 r 9 - 4-2165248 R tf + 4-0267394 R u '} sin (2 t - 2 a?) [4-5469577] 
+ {2-5368240 r 10 - 1 -9800857 R 10 - 9-9609787 R 10 '} sin (2 t + 2 x) [1-6254969] 
+ {3-4666708 r n -3-9974257 R„- 2-5579118 R u '} sin (x + z) [2-2228889] 
3 B 2 
