Chase.] ^^^ [June 17, 



This value differs by less than ^ of one per cent, from the above theoreti- 

 cal value. If the sum of the asteroidal and cometary masses is about | as 

 great as Earth's mass, the accordance is exact. The additional evidence 

 which it furnishes, both of early photodynamic rupturing and reciprocally 

 rotating influences, (|, f), may prove to be as important as it is interest- 

 ing. The total planetary mass is very nearly 2 X '7 times the retrogradely 

 rotating mass of Uranus and Neptune. 



54. Atomic Weights. 



The close approximation to integral mass-divisors (Notes 50, 51), in all 

 the known primary planets except Mercury and Mars, is like the atomic 

 approximations to exact multiples of the hydrogen unit. This fact, to- 

 gether with the many evidences of tendencies to harmonic wave-lengths 

 among spectral lines, suggests the probability of harmonic influences upon 

 atomic weight, as well as upon atomic velocity. 



There is still so much uncertainty in regard to many of the atomic 

 weights, that it is impossible to determine, with exactness, the various sub- 

 divisions of which any given element may be susceptible. It is evident, 

 iowever, that certain factors enter more frequently into the atomic ratios 

 than could be looked for from the mere laws of probability, and it does 

 not seem unreasonable to hope for future light upon the nature of chemi- 

 cal combination, from the study of mathematical combinations. 



The factors which seem worthy of special attention are, 2, 2^ 2^ 2*, 3'^ 

 5^ 7, 13. The combination of the powers of 2 with prime numbers is 

 shown in the following table : 



Bismuth, on account of the uncertainty of its equivalent, appears in each 



