1016 
If for 0; we take the values corresponding to the masses derived 
by me, and which are given in Cape X1/, 5, p. 14, Table X, we find 
AX AN | Lt A2 A{3 AV3 | At Aa 
1907 | +0.0430—0.0076 | +0.015840.0060 | +0.01740.0008 | POORE 
1908 | + 158-+- 19); + 171+ 45 | + 41+ 2 |— 30+ 16 
1900 HEE ATOS | ta t= nS ELSE pe 125-122 
| 
We can now determine the quantities gi and G; by the equations *) 
where 7; 
Here y; a 
from my 
gi sin Gj = ajo + Aa; 
gi cos G; = 4;, + Ay;, 
and yj, are defined by 
Binsin ly 
Yio = yi cos Ty. 
nd 7} are the “own” inclinations and nodes, and are taken 
theory of 1908. We then tind 
Zi GQ | & G | & G3 | Za G4 
1907 
1908 
1909 
o es | a En 5 a] le} le) | le) Oo 
0.0690 89.6 0.4542 288.90 | 0.1797 188.84 | 0.2475 121.67 
0405 109.8 ‚4559 301.54 | 1825 195.61 2465 128.36 
0385 170.4 | 4740 313.17 1834 el 2362 129.65 
If now we neglect a possible correction to the position of the 
equatorial 
theory to 
g. and G; 
consequen 
A == G; 
plane, i.e. if we suppose the fundamental plane of my 
coincide exactly with the mean equator of Jupiter, then 
must be considered as observed values of y; and 7}, and 
tly we find corrections to the theory Ay;=g;— yi: and 
—TI;. These corrections are given below. I have also 
carried out the same computations for the values of p; and q; result- 
ing from 
page 17, 
the five Cape series, which are given in Cape XM 5, 
Table XII. These were first reduced from the tabular 
fundamental plane used in the reduction of the observations to the 
final fund 
amental plane of my theory. Then the differences Ap;, Aq: 
were formed exactly as has been explained above for the Berlin 
observatio 
ns; from these Av; and Ay;; were computed and finally 
gi and G;. We thus find: 
1) These 
are the formulae (11) of Cape XII, 3, p. 102, if we take voo = 400 = 0. 
