Chase.] 4:iU ^Oct. 6, 



and call the quotient a, we obtain an approximate harmonic divisor for 

 six cardinal nodes : 



Observed. 

 Venus, s. p. .6722 

 " m. p. .6978 

 " m. .7233 

 •' m. a. .7489 

 " s. a. .7744 

 Earth, m. 1.0000 



2. Venus's incipient locus of subsidence (secular aphelion) is near the 

 second centre of linear oscillation of the incipient locus of subsidence of 

 Mars. 



(I of § = A) of 1.7365 = .7718. 



Harmonic. Observed. 



.7718 .7744 



3. The photod5^namic origin of Yenus's orbital period (224.701 days) is 

 indicated by the proportion, 



p3-K- '■*<='■ *y 

 The length (l^) of a theoretical pendulum at Sun's equator, which would 

 oscillate once while a wave of light traverses the solar modulus of light, is l^ 

 =:= 224.261 ^3 ; t^ and t^ are respectively Earth's day and Venus's year. 



4. Moon's semi-axis major is a mean proportional T)etween Earth's semi- 

 diameter (r,) and Venus's nearest approach to Earth. Venus's secular 

 aphelion = .7744234 p^ ; Earth's secular perihelion = .9322648 ^3; differ- 

 ence, .1578414 p3 = 3695.725 r^ ; p/ 3695. 725 = 60.792. 



5. Earth's oscillatory influence on Venus's mean subsidence is indicated 

 by the proportion 



^3 ■h--Pm- p^ 

 3962.8 : 1,142,882 : : 00.2778 : 17384.276 



Stockwell's estimate for Venus's mean locus of subsidence is .748878 ^3= 

 17534.36 ?-3. 



6. All the orbital loci of Venus are midway between Sun and orbital 

 loci of Mars. 



7. Venus's incipient rupturing locus (secular perihelion = .672^03) is 

 near Earth's linear centre of oscillation (| of p^.) 



8. Venus's mass indicates Earth's harmonic influence at her incipient 

 locus of subsidence (^3). 



7713 • "*2 — ^"3 : />,, 

 438,417 : 331,776 : : 1 : .7744234 



Hill's estimate for m,^ -~ m., is 427,240, which difiers from the harmonic 

 ■estimate by less than ^'j of one per cent. 



