146 
or by limits— 
The Birth and Evolution 
[March, 
77*3 r • : 17,680 r= 1169*6 r . 
It lies somewhat beyond the mean distance of Jupiter. As 
the central part we must consider this quantity repulsed to 
1169 r distance, but a simple distance gives a point only. 
According to the rotary motion, which the central part re- 
ceived at first, it moved for its new site vi‘72 too rapidly ; 
it went as central yet dissolved mass 1*72 farther, or this 
was the excentricity of the central evolution cycloid. The 
mass had, using a familiar expression, a perihelion and 
aphelion of rotation, between which the inner strata circu- 
lated. It went then to 172 2 of distance; consequently to— 
1169 r x 1*72 = 680 x 2*96 = 2006 r. 
We have the two points, poles, the one beyond Jupiter, the 
other this side Saturn. 
But in this representation of unrolling through centrifugal 
force I did not account for the perturbations produced by 
the centrifugal force of the sun, yet they exist and continue 
through the whole development of motion, and the differ- 
ences in effect on an extended body. 
The opposite points of each body had to move with 
another rotary velocity than the mean ones, which brought 
them closer together ; on the other hand, had the part con- 
verted to the sun to remain nearer to it, the averted part to 
remove farther from it, this is indicated by the proportions 
found. 
The centrifugal force of the sun was 1-77*8, the planetary 
radius 77*3 r = i-8*8 R. The rotary velocity produced by the 
sun so became, in the mean of the oppositions, diminished 
1-8*8, and translation was increased by the same quantity. 
Rotary velocity became 77*3 — 8*8 = 68*5 times more rapid 
than that of the sun. It is therefore as if this body had 
68*5 r as mean radius. The velocity of rotation became 
now, on the side converted to the sun, — 
680 + 68*5 
680 
ri°7 ? 
and on the side averted from it — 
(680 + 68*5) + (68*5 + 2*96) 
680 
= 1*22 times 
more than it had to be. The sun was not at the same dis* 
tance from the converted and averted sides of the planetary 
