456 
Relations between Earth and Moon. LAugust, 
The solar attraction, at the surface of the moon is so 
tn 
much greater than the terrestrian, as the tidal action of 
ryd" 
the moon, at the surface of the earth, is greater than 
M 
the tidal action of the sun, ^ . 
The mean inclination of the lunar orbit on the ecliptic 
being 5 0 8' 47", the sinus of this angle, less its 1-12*08 (by 
reaction) is 1-12*08 of the radius (or stands to it in the 
same proportion as the height of a polar zone of the earth 
to the radius, plus &c.). The inclination of the equator of 
the moon or her orbit is T 29, of which the sinus is — 
1 ^ 1 1 
40 ” 24*16 ~ 59*56 
of the radius. 
The earth turns 29*58 times round her axis during a 
lunation, and the moon moves round the earth with a 
velocity which is the 1-29*58 of the common velocity of 
earth and moon moving round the sun. The difference of 
the greatest and least distance of the common centre of 
both, or of the centre of the earth from the sun, is 1-29*78 
of the great axis of their orbit. The difference, 1-3526, of 
these fractions is the square of the excentricity, 1-59*56 of 
this orbit, and the excentricity of the earth in the equatorial 
and polar sense, or the proportion of the mass of the ocean 
to that of the earth, &c. 
The moon, as offspring of the earth, corresponds in her 
nature and motions to those causes and relations which 
developed the polar regions and the whole configuration of 
the earth. 
The number of revolutions of the earth round her axis 
during a lunation is equal to the number of years, less its 
1-81, of a revolution of Saturn round the sun (see “ Deve- 
lopment of the Solar System,” Gedanken, 1857). 
