1885.] 
Two Planets beyond Neptune. 
9 
Biassed from my first view by the then adopted masses, I 
distributed the 1*4468 of the solar mass : — Uranus, 
1*24608; Neptune, 1*14446; A, 1*12962; B, 1*22927. 
I now accept Prof. Newcomb’s 1*22608 for Uranus, 
1*19360 for Neptune, together 1*10428, and divide the re- 
maining 1*7726 according to the “ development theory ” — 
A : B = i : i*(i , 22* x 1-025 3 ) = 1 + 13200 : 1*18619. 
Uranus + Neptune to A + B, as Mercury + Venus to Earth 
+ Mars ; moons, asteroids, &c., inclusive. 
That the existence of the two planets and their elements, 
longitude excepted, were determined by the metaphysical 
development theory, before I knew at all of Le Verrier’s 
misapprehensions, is certainly evidence for the theory. 
Le Verrier first found a positive m', and therewith e', to 
fall between 94 0 40' and 189° 55', or between 263’ 8' and 
358’ 41 ; then in narrower limits, between 108 0 and 162°, or 
297° and 333 0 ; there were two chances to seleCt from. But 
“ for certain reasons ” both are “ inadmissible we get to 
an “ impossibility ” against the nature “ of the problem.” 
“ There is only one way ” to its “ final solution it is to 
form the expressions of the disturbances caused by the new 
body into functions of its mass and of the elements it 
describes. A negative m' is metamorphosed into a positive 
“ between 245 0 and 250V’ “ From beyond 99 0 inclusive to- 
wards 108 0 it would, however, not be impossible to find 
admissible values,” “ when we consider one of the epochs by 
itself .” 
Neptune is, of the outside planets, the one most perturb- 
ing Uranus, and the greatest perturbations must fall in the 
time of conjunction. Such proximity of the planets was 
therefore indicated ; it fell within the time of observations 
during the 155 years. Le Verrier therefore endeavoured to 
bring his one planet, to predict, at the right time in this 
longitude. But as Uranus was also disturbed by A and B 
he had to invent, for his one planet, elements suiting his 
wants. 
He concluded a compromise : he cast Neptune and A 
into one. He invented a solar distance not that of Neptune, 
and a mass not that of Neptune plus A, for a fictitious 
being, and more or less reconciled the discrepancies between 
theory and observation in the distribution of the individual 
disturbances in magnitude and time by a great excentricity, 
0T076, that of Neptune being 0-0089 ; and a perihelion in 
the conjunction longitude of Uranus and Neptune 284° 45', 
