3-1 



577 



[Chase. 



328. Comparison of Harmonic Mass-Estimates. 



The estimates of planetary mass in Notes 313-5 are, in some respects, 

 more simple than those in Note 156. This is especially ths case with 



"Uranus and Neptune. 



Note 1,53. 

 427630 

 331668 

 1047.879 

 3503.33 

 23603 

 19393 

 density, and time, at the stellar centre of the 

 system, are determined by the velocity of light ; those at the chief nebular 

 centre are influenced by the first harmony ; those at the chief centre of 

 condensation introduce the two preceding harmonies ; those at the centre 

 of planetary inertia show the combined influence of luminous undulation, 

 nucleatiou, nebulosity and condensation. Venus and Uranus are rhyth- 

 mically influenced by the chief centres of nucleation and condensation ; 

 Neptune is similarly influenced, though less directly, through its belt- 

 connections with Uranus. 



Sun -~ Venus. 

 Sun -=- Earth, 

 Sun -f- Jupiter, 

 Sun -^- Saturn, 

 Sun -H Uranus, 

 Sun H- Neptune 

 The relations of mass. 



339. Comparative Harmonic Estimates of Earth's Mass. 



In Note 15 I gave a summary of eighteen kinetic estimates of Earth's 

 semi-axis major, giving the mean value, p^ = 93737100 miles. Subse- 

 quent hai'monic estimates, introducing various nodal influences which must 

 be obviously operative, furnish data for the following comparisons : — 



Chemical energy, 

 Oscillatory " 

 Inertia 



Rotating energ}^, 

 Luminous " 

 Magnetic " 

 Gravitating " 



The mean values are 331345 ± 137, and 93,745,300 ± 13900. The latter 

 value differs by less than i\^ of one per cent, from the one given in Note 15. 



330. Nodal Influence of Jupiter. 



The joint influence of Sun and Jupiter which was shown in Note 338, 

 may be further illustrated by various nodal relations of planetary apsides. 

 I indicated the importance of harmonic motion in determining apsidal 

 positions, in a communication to the American Philosophical Society, April 

 3, 1869, more than eight years before Professor Stephen Alexander called 

 the attention of the National Academy to the subject (Proc. Am. Phil. Soc, 

 xi, 103-7 ; xii, 403-7, 413, 530 ; xiii, 146, 196 (11); xiv, 635 ; etc.). 



