[36]The real diameter of the earth in that latitude, whose sine is one-third, is a little greater than this; but the true mean is more favorable for the Newtonian law.
[37]This is, perhaps, the nearest ratio of the densities and distances.
[38]This is an important consideration, as bearing on the geology of the earth.
[39]It is not as likely that the condensation of the sun was so sudden as that of the planets, and therefore in this case this distance is only approximate.
[40]Mechanique Celeste. Theory of the Moon.
[41]Mechanique Celeste. Masses of the planets.
SECTION FIFTH.
COMETARY PHENOMENA.
The planetary arrangements of the solar system are all à priori indications of the theory of vortices, not only by the uniform direction of the motions, the circular orbits in which these motions are performed, the near coincidence of the planes of these orbits, and the uniform direction of the rotation of the planets themselves; but, also, by the law of densities and distances, which we have already attempted to explain. In the motions of comets we find no such agreement. These bodies move in planes at all possible inclinations in orbits extremely eccentrical and without any general direction—as many moving contrary to the direction of the planets as in the opposite direction; and when we consider their great volume, and their want of mass, it appears, at first sight, that comets do present a serious objection to the theory. We shall point out, however, a number of facts which tend to invalidate this objection, and which will ultimately give the preponderance to the opposite argument.