: ¢ 
Chase.] 124 [May 18, 
natural standard of velocity. Whenever velocity is imparted or destroyed 
by gradual ¢ 
which will give the equation 
si=%, 22. 
By céordinating the times which are required by this equation in differ- 
ent forms of energy, the evidences of primitive kinetic unity may be mul- 
tiplied indefinitely. 
scelerations or retardations (f), a time can always be found 
387. A Natural Unit of Time. 
Errors of measurement which are of any specific magnitude, increase 
in relative importance inversely as the magnitude which is measured, An 
error of .0001 inch in any of the dimensions of a microscopic object would 
be very serious, but in an object which is a foot or more in length it would 
be insignificant. It is desirable, therefore, in studying kinetic unity, to 
begin with phenomena which involve kinetic maxima. The most far- 
reaching acceleration of which we 
gravitation, and the greatest gravitating acceleration of which we have any 
direct knowledge (g,) is found at Sun’s surface, Substituting in (22) we 
have 
n make measurements, is that of 
St = Golo = 0 23. 
Therefore, Laplace’s principle of periodicity (Note 833), the collateral 
hypotheses of various investigators (Note 278), the fourth virial postulate 
(Note 377), the considerations which make », a natural unit of velocity 
(Note 386), as well as many other correlations of photodynamic and general 
cyclical energy, point to the time ofsolar rotary oscillation as a natural unit 
of time. 
8388. Virial Transfers. 
An energy which is wholly transferred from one ethereal mass to 
another equivalent ethereal mass, must be accompanied by a like transter 
of velocity, whether the transfer isin the form of potential (7,), work (%), 
gravitation (,); torsion (0; ), electricity (, ), rotation (Wg ), revolution (w,), 
heat (v), chemical affinity (»,), or luminous undulation (»,). We have, 
therefore, for limiting velocities when all the units are homologous, 
q = Vg = 0, 0s 0, = 0, = 0, = % =O, FM 24. 
In cyclical movements which are due to virial tranfers, these several 
ated by equations which are based on the third and 
equivalents may be indic 
fourth postulates (Note 377) and which are analogous to (3), 
889. Cardinal Limits. 
In seeking further numerical verifications of the foregoing virial equa- 
tions, we find the photodynamic limiting radius of orbital and ethereal ten- 
dencies (10) by substituting (6) and (8). 
» & Or yp - 2 919GRZ On 
Pi; 688.954 7, == 8.212654, 25. 
Substituting (25) in (11), we get for Laplace’s limit 
1 = 86.3667, 26, 
