108 
PROFESSOR AIRY ON AN INEQUALITY OF LONG PERIOD 
w = 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 ri 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 
= + (90,7405229) — (86,24488) . n't 
= + (90,3526973) - (85,97806) . n't 
= + (89,9648717) - (85,68477) . ri t 
= + (89,5770461) — (85,37453) . ri t 
= + (89,1892205) — (85,05252) . ri t 
e'3/2 — + (91,6197677) - (86,69331) . ri t 
e' 2 ef 2 = + (91,2319421) — (86,57650) . n't 
e'e 2 f 2 — + (90,8441165) - (86,35426) . n't 
e 3 / 2 = + (90,4562909) — (86,08606) . ri t 
e'f 4 = + (92,1111869)- (86,41479) . ri t 
e/ 4 = + (91,7233613) - (86,81239) . ri t 
( 8 ) 
+ e 
e' 3 e 2 
e' 2 £ 
e'(* 
e 5 
a' L 
m 
. cos (5 +) = + (2,3572098) + (98,04404) . ri t 
a' L 
( 8 ) 
m 
. sin (5 vs) — - (2,3859510) + (98,01530) . ri t 
a’ L 
(9) 
m 
. cos (4 VS + vs) = — (3,0841670) - (98,12469) . n t 
d L 
(9) 
m 
sin (4 */++) = + (2,5856285) - (98,62323) . ri t 
( 10 ) 
m 
. cos (3 VS + 2 tsr) = + (3,2799989) - (97,97020) . ri t 
a' L 
( 10 ) 
m 
. sin (3w' + 2®) = + (2,5956493) + (98,65455). ri t 
a! L 
(ii) 
m 
. cos (2 + 3 vs) — — (3,0497482) + (98,09507) . ri t 
