Prof. P. E. Chase on the Correlations of Central Force. 201 



k. In nebular condensation the atmospheric radius varies 

 as $, while the nucleal radius oc p. The nucleal radius there- 

 fore varies as the J power of the atmospheric radius. In ordi- 

 nary considerations of the nebular hypothesis, planetary aggre- 

 gation has been regarded as atmospheric under a velocity 



varying as a / _ ; but there are many traceable evidences of 



nucleal influence under a velocity varying as -. Obermayer's 



law (Trans. Vienna Acad.; ' Nature/ June 1, 1876, p. 119), 

 that the friction-coefficient of permanent gases varies as the j 

 power of that of the coercible gases and as the absolute tempe- 

 rature, seems to be a particular case of the nucleal and disso- 

 ciating influences of central force. 



\. The formation of the Jovian and Telluric belts, as indi- 

 cated by the limiting velocity of their chief planets, shows the 

 combined action of nucleal and atmospheric influences. At 

 the equator g = 32^ ft- ; the time of ^ rotation = 43200 sec. ; 

 .-. nw >//r = 43200 x 32^ ft. =262*5 m. per sec. The limit- 

 ing velocity for Jupiter is nearly, if not precisely the same ; 

 but it cannot be so accurately determined on account of greater 

 uncertainty in regard to the elements of calculation. The solar 

 modulus of light at the principal centre of gravity of our 

 system (© y.) is 505400 solar radii ; the nucleal formative is 

 .*. s/ 505400 x the atmospheric velocity ; when the nucleal ve- 

 locity (*) was the velocity of light (*4316r), the atmospheric 

 velocity was -4316 r+ s/ 505400 = -0006071 r. If -0006071 r 

 = 262-5 m., Sun's distance (214-86 r) = 92,902,000 miles. 



fju. Earth was the seat of theoretical primitive nucleal rup- 

 ture, the velocity of primitive rotation within the nucleus vary- 

 ing as r, and communicating a similarly varying vis viva of 

 superficial rotation to the shrinking nucleus. This gives a 

 present theoretical time of solar rotation = 365*256 days 

 -=->/ 214-86 = 24-91 2 days. The estimates from observation 

 vary between Sporer's (24*624 days) and Schwabe's (25*507 

 days). 



v. According to the same data, the present height of possible 

 solar atmosphere, or the radius of equal centripetal and centrifu- 

 gal solar force, should be (214*86)^ r=35*873r; the time of pla- 

 netary revolution at Sun 31558150 sec. -*-(214*86)*= 10020*242 

 sec. ; the present limit of uniform planetary velocity 27T7* 

 -t- 10020*242 = -00062705 r per sec. ; the present solar modulus 

 of light (-4316-f-00062705) 2 r = 473755-65r ; the present mo- 

 dulus-atmosphere 35*873 x modulus = 16995141 r. 



