Georgian Planet and its Satellites . 373 
north- following the rcteridian, as probably neareft the truth ; 
and this pofition of the axis we may fuppofe to belong to a 
time which is about the mean of thofe from which it has been 
deduced; or October, 1 7 d. 16 h. 
We are, in the next place, to find the angle which the 
plane of the meridian made at that time with the plane of 
the orbit of the Georgian planet. To this end we calculate its 
longitude and latitude for the given time. Then, in fig. 3. 
where 93 NE is part of the folftitial colure, nc a portion of 
the orbit, and 93 s of the ecliptic ; there is given the arch NE, 
23 0 28' ; Ec, 89° 27' 49", 2 the complement of the planet’s 
latitude; and the angle 95 Ej-, 27 0 o' 52",2, or planet’s dif- 
tance from Cancer. By thefe we find the angle EcN between 
the circle of latitude Nc and the meridian Ec ii° n' 41". 
Now, let c, in fig. 4. be the place of the Georgian planet, 
and G 9>c a part of its orbit ; e Sis part of the ecliptic ; Nc the 
meridian ; & the place of the planet’s afcending node ; pcq 
the pofition of the axis of the apparently elliptical orbit of the 
fecond fatellite ; EcN the angle of pofition of the Georgium 
fidus. Then, by calculation, for the above-mentioned day we 
have &c, the planet’s diftance from the node on its orbit 44 0 8' 
17"; c&s the inclination of its orbit to the ecliptic 46' 13"; 
and ^ sc a right-angle; whence Ec & 90° 33' 10", 1 the fup- 
plement of the angle scsi is found; from which, taking the 
angle of pofition NcE, before obtained, we have the remaining 
angle, NcG, 79 0 21' 29^,1; or inclination of the planet’s 
orbit to the plane of the meridian, which was required. 
From the proportion of the tranfverfe •/>, fig. 1. to the con- 
jugate cv , we calculate the angle vpc, which may be either 
acute or obtufe. For here I muff take notice, that obfemtions 
cannot immediately determine whether the fatellite, in pafiing 
from/> through nmv to be in the fartheft or neareft part of 
D d d 2 its 
