70 Mr. Airy’s remarks on a correction of the solar tables, ^c. 
And adding the groups for the same seasons of the two years, 
. 7 , 5-...=.^8 
in Summer - 360,62 = 33 a: — y x 570,2 + % x 44,13 
in Autumn - 265,14 = 28 x — y x 68,5 + % x 411,03 
in Winter - 100,34 = 18 jc + y x 343,1 + 2: X 86,02 
Adding all, 
772,47 = 86 x — y X 258,1 + 2: X 439,7. 
Subtracting the Winter from the Summer equations, 
260,28 = 15 jr — y X 913,3 — 2; X 41,89. 
Subtracting the Spring from the Autumn equations. 
218,77 = 21 j: — y X 106 + 2; X 512,51. 
By solving these equations we find x = 8,23 , y = —• — 
2: — . These are to be multiplied by sec. 23°. 28'=1,0902. 
Performing this multiplication, and forming the quantities 
x",y X 10’, and — 2; x 17," 18 we find that the epoch ought 
to be increased 8^,97, the mean anomaly ought to be dimi¬ 
nished 99^,8, and the greatest equation of the centre dimi¬ 
nished 1^09. The epoch of the perigee ought therefore to 
be increased io7",8. 
The correction of the equation of the centre is so small, 
that it may be doubtful whether it would be necessary to con¬ 
sider it. In that case, the solar tables would require no other 
alteration than in the tables of epochs. Every epoch of the 
sun must be increased by 8^,97 or 9", and every epoch of 
the perigee by 1^48". 
If we reject the equation corresponding to the observations 
of March 1st, December 22d, and December 23d, 1822, (the 
43d, 82d, and 83d of the preceding list), we find that the 
epoch of the sun’s longitude must be increased by 9'',3, and 
that of the perigee by 1'. 39''; and that the greatest equation 
of the centre must be diminished by o",66. 
