108 
PROFESSOR AIRY ON AN INEQUALITY OF LONG PERIOD 
m = 142s,1241 — 0,0000018080 X ri t 
0 = 82S,7093 — 0,0000139997 X n't 
The node and inclination are those on the earth’s true orbit. All the coefficients 
of n! t are in decimal parts of the radius 1, and not in parts of a degree. 
54. From these we deduce the following values, the figures within the 
brackets being the logarithms of the numbers. 
e' 5 = + (91,1283485) — (86,46438) . n't 
e' 4 e = + (90,7405229) — (86,24488) . n' t 
e' 3 e 2 = + (90,3526973) - (85,97806) . ri t 
e' 2 e? = + (89,9648717) - (85,68477) . n't 
e'e* = + (89,5770461) — (85,37453) . ri t 
e 5 = + (89,1892205) — (85,05252) . n' t 
e 13 f 2 = + (91,6197677) — (86,69331) .n't 
e' 2 ef 2 = + (91,2319421) - (86,57650) . n't 
e'e 2 f 2 = + (90,8441165) - (86,35426) . n't 
(?P = + (90,4562909) - (86,08606) . ri t 
e'f 4 = + (92, 1 1 1 1 869) - (86,4 1 479) . ri t 
c/ 4 = + (91,7233613) - (86,81239) . ri t 
i (8) 
. cos (5 vr) = + (2,3572098) + (98,04404) . n t 
a -^— .sin (5 w) = - (2,3859510) + (98,01530) . ri t 
( 9 ) 
. cos (4 + cr) = — (3,0841670) - (98,12469) . rit 
( 9 ) 
^-k -. . sin (4^'+®) = + (2,5856285) - (98,62323) . ri t 
( 10 ) 
• COS (3 or' + 2 tsr) = + (3,2799989) - (97,97020) . ri t 
( 10 ) 
f T 
a'L 
m 
a! L 
(ii) 
m 
. sin (3®'+2^) = + (2,5956493) + (98,65455) . ri t 
cos (2 + 3 m) = - (3,0497482) + (98,09507) . ri t 
