THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. Pk 
We have in case of Althea 
te € 3e 2e 
(0) 
Log. (J—1) = 17.20740n 7.808947 8.160251 8.408900 
(0) 
Log. J — 9.99930 9.99719 9.99368 9.98872 
(1) 
Log. J — 8.60344 8.90341 9.07774 9.20016 
(2) 
Log. J = 6.90632 7.5077 7.8587 8.1068 
(3) 
Log. J = 5.0329 5.9356 6.4630 6.8365 
(4) 
Log. J = F087 4.2384 4.9418 5.4403 ' 
- (h—7) 
i : : 
From these values we may form a table of —-/,, as was done for the disturbing 
h = 
body. The values of these quantities can be checked by means of the tables found 
in ENGELMANN’s edition of BrssrL’s Werke, Band I, pp. 103-109. 
Finding the numerical value of (£7) first by the second expression, we get 
H g | cos sin 
| / 
ea | 448.154 40.651 
== a0 | + 0,188 —0,102 
Qa i | BEG: —0.044 
1D SEegigad 40.062 
ie + 0.018 —0.010 
O29 — 0.344 —0.004 
iene} + 0.37800 1-0,00510 
a3 + 0.00141 —0.00081 
=e — 0.03048 — 0.00036 
To transform we change from (hH—7'q’) into (7’g’ —hH). Making the transfor- 
mation, writing also the values found from the first expression for the sake of compari- 
son, and the value of (J) which will next be determined, we have 
