10138 
mental plane is defined by its inclination and node referred to the 
fixed orbit of Jupiter of 1900.0. These are 
Pp = 3°.10350 
w — 316°.0510 —0°.0000023 ¢ 
The longitude of the node is counted from the fixed equinox 
of 1900.0 along the ecliptic of 1900.0 to the node of Jupiter's 
orbit, and hence along this orbit. The time ¢ is counted in days 
from 1900 Jan. O mean Greenwich time. The inclination and node 
of Jupiter’s orbit are *) 
ESles098 Q, = 99°.4244 
From these we derive the inclination and node of the fundamental 
plane on the fixed ecliptic of 1900.0, and counted from the fixed 
equinox of 1900. 0: 
ji at Ws ie 35 
N’ = 836° 52’ 44" —3."99 7, 
where now the time 7’ is counted in tropical years. The longitudes 
are counted from a point 0’, which differs 180° from the node ¥, 
and whose distance from the node iV’ is thus 
ON = 200750) 57 — 0.97 7". 
The corresponding values of my theory are 
fa 22) Sed 
N = 336 24 24 —1"34T7 
O'N' = 200 37 40 — 1.247. 
Let now 7 and @ be the inclination and node of a satellite’s orbit, 
and put 
p= — isin §), 
gi tcos ), 
and the same with accents, when referred to GernNek’s fundamental 
plane. The longitude of the node is counted from the point O [or 
O’| and the inclination / [or i’| is expressed in degrees. We then 
find the following formulas of transformation *) 
OR p — aq! + P (1) 
GG e pa te 
where 
1) Gurunick, |. c. page 17. 
2) Gvrunick, in transforming from my fundamental plane to his, has only used 
the inclinations and nodes on Jupiter’s orbit, thus taking no account of the fact 
that his fundamental plane is referred to Hinu’s fived orbit of Jupiter, and mine 
to Leverrinr’s moving orbit, 
