1373.] 



9 a 



O m 



245 



Fr. 



F 1.235 



cT « E 1.339 



2jp 



b_ ?» 





D 1.498 



C 1.668 

 B 1.746 



A 1.934 



(8)K 

 1.155 

 1.189 

 1.224 

 1.260 

 1.297 

 1.335 

 1.374 

 1.414 

 1.456 

 1.498 

 1.542 

 1.587 

 1.634 

 1.682 

 1.731 

 1.782 

 1.834 

 1.888 

 1.943 

 2.000 



Id 



2.204751 



Id 1 

 2.206566 



2.335855 2.332155 



d 



160.23 



216.70 



[Chase 



d 1 

 160.90 



214.86 



2.547265 2.548099 352.59 353.26 



3.029231 3.029231 1069.62 1069.62 



3.303395 3.311651 2010.92 2049.51 



3.602383 



.595130 4002.9; 



3936.68 



3.816597 3.814149 6555.36 6518.52 

 This hypothetical duplication of elastic influence, substitutes for the 

 variable influence of gravity, an influence which is supposed to be uni- 

 form, in all places and at all distances. In order to find whether gravity 

 can be represented by the resultant of such an influence, let 

 g = force of gravity at d. 

 d = perispheral distance of planet or satellite in parabolic orbit. 



v = 



velocity 



<. 



«! = velocity of rotation at spheroidal centre of gyration. 



" 2= T primary undulation which originates rotation and rev- 



olution. 



t = time of undulating action required to produce v . 

 d = distance of virtual gravitating fall or of actual undulatory pro 

 gression in L. 



Then, g oc — oc Vr 

 or 



oc t i cc <V 



If an attracting spheroid were built up by aggregation of matter, 

 urged simultaneously from all directions towards a resisting nucleus, the 

 limit of velocity, v n , would be retarded by internal work as soon as the 

 particles began to come into mutual collision. This retardation would 

 lead to centripetal condensation, with a 



v oc g oc d. 



By the law of equality of areas, if the sphere be imagined to be homo- 

 geneously expanded to a radius d, the mean velocity, or v u should vary 



aS ~d ' " ' aS w / ' aud ' ® 2 k ein g constant, z\, = V°\ r 2 . 



The values v and v i are known, at least approximately, for Earth, Moon, 



