48 Dr. Herschei/s Discovery of four additional 
elongation ; and other particulars. Having moreover calcu- 
lated tables for reduction : for the position of the point of great- 
est elongation ; and for the distance of the apogee, or opening 
of the ellipsis ; and also contrived an expeditious application of 
the globe for checking computations of this sort, I found many 
former intricacies vanish. x 
By the help of these tables and theorems, I could examine 
the miscellaneous observations relating to additional satellites, 
on a supposition that their orbits were in the same plane with 
the two already known, and that the direction of their motion 
was also the same with that of the latter. 
And here I take an opportunity to announce, that the motion 
of the Georgian satellites is retrograde. 
This seems to be a remarkable instance of the great variety 
that takes place among the movements of the heavenly bodies. 
Hitherto, all the planets and satellites of the solar system have 
been found to direct their course according to the order of the 
signs : even the diurnal or rotatory motions, not only of the 
primary planets, but also of the sun, and six of their seconda- 
ries or satellites, now are known to follow the same direction; 
but here we have two considerable celestial bodies completing 
- their revolutions in a retrograde order. 
I return to the examination of the miscellaneous observations,, 
the result of which has been of considerable importance, and 
will be contained in this paper. The existence of four addi- 
tional satellites of our new planet will be proved. The obser- 
vations which tend to ascertain the existence of rings not ap- 
pearing to be satisfactorily supported, it will be proper that 
surmises of them should either be given up, as ill founded, or 
at least reserved till superior instruments can be provided, to 
