OTiase.] 6-6 [Sept. 17, 



modulus of light, as [the limit of possible solar atmosphere] bears to 

 solar radius. 



"The limiting abscissas of the planetary series are determined by com- 

 bining diametral centres of oscillation (2 X f); with centres of explosive 

 condensation (|), and of explosive oscillation (f). 



"The planetary series, between these limits, is ^ 9,1©) | d^i I mean 

 asteroid, | 2/, f b> I 6- 



"No probable values can be assigned to the cardinal abscissas {a Cen- 

 tauri and * L), which will produce deviations of the theoretical from the 

 observed values of a higher magnitude than the planetary eccentricities." 



A manifest connection is thus shown between our solar system and the 

 stellar systems, the parabolic pathway, and the relations of the modulus 

 of light both to the solar atmosphere and to the parabolic co-ordinates, 

 suggesting an identity of undulating and harmonic iuflu.ence, which ex- 

 tends the significance of the first creative fiat beyond the limits of our 

 planetary sisterhood. 



2 - 

 We have seen that— ^ == '^^^^a is the limit of total dissociation, 

 "■ P 

 /2 

 therefore — ^'o ~ ^a ^^ ^^^ 1^°^^* ^^ possible circular revolution. Planet- 



" • V ^ 



ary ^ at Sun is 80.35 times as great as at Neptune ; — X 80-35 = 36.18 ; 

 therefore at 36.18 solar radii the reactionary v r. bears the same ratio to «, 



at Sun's surface, as the accelerated -y^^ at Sun beai's to «^ at the outer 

 limit of the system. This represents a rotation-period of 25^.2388, cor- 

 responding very closely with the Sun-spot estimates which have been 

 least influenced by the unexplained acceleration"^ of the spots near the 

 equator, and differing by less than 2^ per cent, from the estimate which is 

 the most reduced by allowance for that acceleration. 

 The range of uncertainty is as follows : 



Laugiei", Bianchi, and Herschel, ..25<i.3250 



" Lighf'-force, Theoretical 25.2388 



Petersen 25.1875 



Faye 25.0747 



Lelambre ; 25.00C2 



Carrington 24.9711 



Kirkwood 24.8259 



Sporer 24.6245 



Stockwell has foundf that the mean perihelion longitudes of Jupiter 

 and Uranus differ by exactly 180°, while the mean node longitudes of 



*I know of no attempt at explanation but the one which I have already given, 

 based on the hypothesis that the velocity is due to combined orbital and rotational in- 

 fluences. 



t Memoir on the Secular Variations of the Eight Principal Planets (Smithsonian 

 Contributions, 232) p. xiv. 



