Prof. P. E. Chase on Momentum and Vis viva. 295 



absence of any explicit indications of our planet in most of tlie 



foregoing comparisons suggest the possibility that its place 



may have been fixed by a special law. Its secular perihelion 



(•932) is near the fifth rupturing-nodo of Neptune (30'034-i- 



2-^ = -939). 



The stellar-solar parabola* points to a time when a Centauri 



may have been at a nebular rupturing-point relatively to the 



2 

 Sun. The extreme estimates for - a Centauri are 28905200 



and 30895100 solar radii. Tlie seventh fall of condensation 

 (1-h11*656854)' would give *988 and 1*056, shov/ing a close- 

 ness of approximation to the present solar radius which can 

 hardly be thought accidental. As there are two condensation- 



2 

 falls between - Earth and Sun, there are five falls between 



IT 



u Centauri and Earth, the extreme estimates for a Centauri 

 -7- 11-656854^ being -982 and 1-049 times Earth's radius vector. 

 Both of these points are within the Earth belt (sec. per. = -932, 

 sec. aph. = 1'068). 



Neptune's secular eccentricity seems to have been deter- 

 mined by the combined influence of condensation-fall, orbital 

 collision, and rupturing-nodes ; for ISTeptune's secular peri- 

 helion ^ll-656854=:2-53912, f sec. aph. -^22 = 2-53913. 



The Gegenschein, and other indications that the zodiacal 

 light may come from the remains of an early terrestrial ring, 

 may lead us to look for evidences of residuary nebular activity 

 in some of the outer planets. A radial oscillation at Uranus's 

 secular aphelion would be accomplished in 10-3396^ = 33-247 

 years, a circular revolution at Saturn's sec. aph. in 10-3433^ 

 = 33-265 years, a circular revolution at Jupiter's mean 

 perihehon in 4-9782t = 11-108 years. The November 

 meteoric cycle is 33*25 years ; the Wolf sun-spot cycle 11-07 

 years. 



There is a noteworthy numerical correspondence between 

 the seven rupturing-nodes within the planetary belt and the 



seven condensation-falls from « Centauri to — Sun. The fifth 



node and the fifth fall both come within the Earth belt. 



If we suppose seven successive transformations of uniform 

 into variable velocity before the determination of the present 

 solar mass and light-modulus, and five condensation-falls 

 (?i= 11-656854) after each transformation, we find the follow- 

 ing approximations : — 



* IV. TT, Phil. Mag. Sept. 1876. 



