of the Georgian planet. 34,5 
which will be explained, that the inclination of the orbits of 
the satellites to the ecliptic is 78° 58'. 
From these data it also follows, that the motion of the sa- 
tellites in their revolutions round the planet, by which they 
are carried from their ascending node to their greatest elon- 
gation, is retrograde. 
Consideration of the principles by which the periodical revolution 
of the satellites may be obtained from the observed angles of 
position. 
It will be necessary to premise, that, in order to simplify 
the investigation of the periodical revolution of the satellites, 
I have supposed the orbit of the Georgian planet, which dif- 
fers only about f of a degree from the ecliptic, to be coinci- 
dent with it. 
When the rate of the motion of a satellite in its orbit is to 
be determined from two observed situations, it is required to 
reduce its first apparent place on the plane of projection, to 
its real situation in its orbit, I have therefore taken the ascend- 
ing node for a fixed point, from which we may begin to 
number the degrees of the satellite’s situation ; then, as in the 
second observation, the satellite must also be brought from 
its apparent place to its real one, we have to allow for three 
material alterations, that will more or less affect the calcula- 
tion, according to the length of the interval of time between 
the two observations. 
The first of these alterations is that which takes place in 
the situation of the parallel, from which the angles are mea- 
sured; the second is a change in the inclination of the plane 
of the orbit of the satellite to the plane of projection ; and the 
mdcccxv. Y y 
