344? Dr. Herschel’s observations of the satellites 
revolutions of the satellites about the planet, may be settled. 
It will then be necessary to calculate the places of the satel- 
lites for the times in which they were observed, in order to 
identify them ; for, notwithstanding all possible care was 
taken to keep them in view, yet after the long unavoidable 
annual interruptions, and the periodical interference of the 
moon, it will be seen, that several mistakes have been made 
in naming the satellites, which by that means may be easily 
corrected. 
The place of the ascending node , the inclination of the orbits, and 
the retrograde motions of the satellites determined. 
When the observations of the satellites in the year 1797, 
and the beginning of 1798, are examined, it will be found 
that the first satellite could seldom be seen, and that its posi- 
tions, when observed, were always at a great angle from the 
parallel ; the second was also frequently invisible ; and its 
observed positions were likewise at great angles. From 
these appearances it may be concluded that the planet was 
approaching to the node of the satellite's orbits. At the latter 
end of February, and the beginning of March 1798, the posi- 
tion of both the satellites approached to a settled angle, which 
at last, for two successive days, namely the 11th and 12th of 
March, remained stationary ; I have therefore supposed that 
the planet was then in its passage through the node, and have 
in my calculations admitted its place to be five signs, 15 de- 
grees, 30 minutes. 
Then a mean of the angles of position 78° 15', 3 and 
78° 12', 9 taken the 11th and 12th of March, being 78° 14' 
north following, it will appear from the method of calculation 
