596 [April 18, 
Chase.] 
428. The Sun-Harth Balance. 
The situation of Earth’s orbit, between the orbit of Jupiter and the 
Sun, introduces tendencies to condensation and rotation of the character 
referred to in the foregoing note. The action and reaction of setvhereal 
waves, between the principal centres of attraction and of condensation, 
have produced an amount of gravitation, at the earth’s equatorial surface, 
which is sufficient to give a circular orbital velocity of V gr = 4.90743 
miles per second, The linear oscillation of the Earth around the Sun, as 
well as the centre of rotary inertia fora superficial film of condensation or of 
luminous undulation in the orbit of Mars, multiplies this energy by }; the 
rotary ethereal oscillation of a sphere which has its limit in the asteroidal 
belt also multiplies the energy by §. Accordingly, if the Earth’s orbit 
was always circular, its velocity of revolution, as thus determined, would 
be § x % X 4.90748 = 18.40286 miles per second. There are 31558149 
seconds in a year, therefore the Sun’s distance should be, if Harth’s orbit 
were always circular, 18.40286 x 31558149 + 2 ~ = 92430800 miles. This 
is probably correct within less than 4 of one per cent. (See Note 434. ) 
429. Accuracy of Harmonic Method. 
The above method of estimating the Sun’s distance is the shortest. which 
has ever been published. I believe that it is also the most accurate if 
proper allowance is made for orbital eccentricity, for the following rea- 
sons : 
1. If the hypothesis of an all pervading luminiferous ether is true, all 
its cyclical movements must be rhythmic, or harmonic, the various forms 
of rhythm being governed by various centres of oscillation. 
2. The simplest kinds of oscillatory motion, in cosmical bodies, are 
linear and spherical. 
3. Laplace showed, in discussing the motions of Jupiter’s satellites, that 
whenever there are tendencies to simple numerical relations, in planetary 
arrangements, all the forces of the system combine to make those tenden- 
cies exact. 
4, The Sun is the principal centre of attraction, and the EHarth is the 
principal centre of condensation in the solar system. 
430, Rhythmic Weight of the Sun. 
The Sun can be weighed by its musical rhythm with a corresponding 
facility. Orbital velocities vary inversely as the square root of the dis- 
tance from the centre of gravity. Any two attracting bodies bear the 
same ratio to each other as the distances at which they would communi- 
cate equal orbital velocities, to particles which revolve about the centre of 
gravity of the attracting bodies. Hence we have: 
EKarth’s Radius Vector, Karth’s Radius, 
92480800 x (% X 4)? : 8062.8 ; : 828002 : 1. 
