32 Prof. r. E. Chase on our 



20*126; the moan aphelion vector radius of Uranus = 20*044 ; 

 the major axis of the November meteors, and the secular 

 aphelion of Uranus, each =20*68; twice Saturn's secular 

 aphelion =20*69, — the original nebular activity thus combining 

 with the satellite influences in maintaining Saturn's rings. 

 Moreover Neptune's secular perihelion = 1*4313 x the secular 

 aphelion of Uranus — the " kinetic radius " or the limiting 

 radius of equality, towards which I have shown that all cen- 

 tral forces mathematically tend, being 1*4232. 



10. The sum of Uranus's mean and Earth's secular peri- 

 helion vector radii =20*0158. The importance of Earth's 

 position, the near approximation of this sum to the cardinal 

 light-oscillation (9), and the indications of a somewhat shorter 

 major axis for the inner meteors of the November stream 

 encourage us to look for still further evidences of continuing 

 nebular activity in our own orbit as well as in that of Saturn. 

 If Earth and Uranus were once parts of an elliptical ring, or 

 meteor-current, with Earth sharing Uranus's present maxi- 

 mum secular eccentricity (*077965), Earth, Jupiter, Uranus, 

 and Sun were connected by the following equation : — Modu- 

 lus =252 x the square of Jupiter's mean radius vector x the 

 time of revolution at secular perihelion (*922035) of a mean- 

 proportional radius between Earth and Sun (1 : \/214*86)2-f- 

 (square of Earth's radius x 1 year). This value of modulus 

 (474250) exceeds the value found by the ordinary methods 

 (473755) by less than -^ of one per cent. 



11. The secular range of Uranus, between 17*688 and 

 20*679, subjects all the intraasteroidal planets, together with 

 most of the asteroidal belt, to the influence of its accompany- 

 ing light-oscillations, so that all the members of our interior 

 system of dense planets may have been partially built up of 

 materials from a meteoric stream, of which the November 

 meteors are the debris. Earth's secular aphelion (1*0677 ; 

 cf. the ratios of ^ © centre of gravity, 1*0668, and of 

 Jupiter's secular aphelion, 1*0608) was established near the 

 linear centre of gravity of a pendulum of which the kinetic 

 radius marked the centre of oscillation (J x f-X 1*4232 = 

 1*0674). Venus's secular perihelion (*6722) is near the 

 centre of spherical gyration of Earth's secular aphelion 

 (\/4x 1*0677 =-6753). 



12. If we take the primitive light-axis (20*128) and sup- 

 pose it subjected to repeated oscillation through ± Earth's 

 mean vector radius, successive nodal bisections give the fol- 

 lowing approximations : — 



