Chase.] ^^^ [Oct. G, 



(Notes 116-132), are, us might reasonably liuvc ueeu lurcscin, greatly modi- 

 fied by Sun's thermal activity. The moon, acting on the currents which 

 originate in Sun's thermal disturbance, shoAVs accordances both in time and 

 magnitude (Note 121), which point strongly, if not conclusivelj^ to an ab- 

 solute identity between lunar disturbances of terrestrial ma^ietism and of 

 terrestrial gravitation. These pointings are confirmed by the identity of 

 velocity, in the electro-magnetic "ratio," in the pendulum-oscillations of 

 solar rotation, and in the transmission of luminous undulations. The 

 symmetrical arrangement of a^thereal particles which most simply repre- 

 sents the' results of elastic pressure (Proc. Amer. Phil. Soc, xii, 408), the 

 spiral tendencies of division in extreme and mean ratio, the rotation which 

 helps to maintain equilibrium between conflicting forces (Note 212), the 

 differences of centrifugal and centripetal energy which result from rota- 

 tion, all contribute towards an axial polarity which should modify all 

 forms of chemical and mechanical aggregation. To these elements of 

 cyclical rhythm Moon adds her orbital disturbance of Earth's rotation 

 (Notes 247-8), which is so modified l>y orbital inclination as to produce a 

 magnetic nutation. If we add to these considerations the oscillations of 

 Earth's crust, and other influences which lead to variations in the rela- 

 tive positions of areas of greatest heat and cold, we find (Vata for many 

 interesting problems in mathematical analysis, the solution of which may 

 throw much light both on the normal and abnormal phenomena of terres- 

 trial magnetism. 



26 ] . Gravitating Modulus of Planetary RevohUioo . 



The hypothesis that stellar rotation is merely retarded revolution, and 

 the exact correspondence between the time of rotary oscillation and the 

 time in which maximum gravitating acceleration would communicate the 

 velocity of light to an aethereal particle, suggest the likelihood of other 

 moduli, which maj^ be intimately connected with the solar- equatorial 

 modulus of light, and which may help us towards a fuller understanding 

 of fundamental kinetic relations. 'As the rotary oscillations are circular, 

 the simplest and most natural comparison would refer them to circular 

 revolutions of uniform velocity ; as all orbital times and velocities are func- 

 tions of mass and distance, it seems right to begin by examining the 

 greatest possible limit of circular-orbital velocity (j/^^rj, and the least pos- 



^^0■ 



sible limit of circular-orbital oscillatory time I ht of revolution : 



The British Nautical Almanac value of ?i.. Note 75, gives t = ^ if,, = 5024.5 

 "sec. ; g„t = z\/g<,^'o = -0019643 r„ ; g^ t^ = t:"^ I = t:^ r„. The photody- 

 namic relations of this fundamental gravitating modulus, to the two chief 

 planetarj^ loci, are shown by the approximate identity of t with the time 

 in which a luminous ray would traverse Jupiter's orbit or Saturn's mean 

 aphelion radius vector. Neptune's gravitating modulus, t:" ps' represents 



