suggested, is fully adequate to account for the
phenomena. Whether the harmony of vibrations between two bodies may not
have an influence in determining the amount of interference, and,
consequently, produce _some_ difference between the gravitating mass
and its inertia, is a question which, no doubt, will ultimately be
solved; but this harmony of vibrations must depend, in some degree, on
the atomic weight, temperature, and intensity of atomic motion.
That a part of the mass of the earth is _latent_ may be inferred from
certain considerations: 1st, from the discrepancies existing in the
results obtained for the earth's compression by the pendulum and by
actual measurement; and, 2d, from the irregularity of that compression
in particular latitudes and longitudes. The same may also be deduced
from the different values of the moon's mass as derived from different
phenomena, dependent on the law of gravitation. Astronomers have
hitherto covered themselves with the very convenient shield of errors of
observation; but, the perfection of modern instruments now demand a
better account of all outstanding discrepancies. The world requires it
of them.
The mass of the moon comes out much greater by our theory than nutation
gives. The mass deduced from the theory is only dependent on the
relative inertiae of the earth and moon. That given by nutation depends
on gravity. If, then, a part of the mass be latent, nutation will give
too small a value. But, in addition to this, we are justified in
doubting the strict wording of the Newtonian law, deriving our authority
from the very foundation stone of the Newtonian theory.
It is well known that Newton suspected that the moon was retained in her
orbit by the same force which is usually called weight upon the surface,
sixteen years before the fact was confirmed, by finding a correspondence
in the fall of the moon and the fall of bodies on the earth. Usually, in
all elementary works, this problem is considered accurately solved.
Having formed a different idea of the mechanism of nature, this fact
presented itself as a barrier beyond which it was impossible to pass,
until suspicions, derived from other sources, induced the author to
inquire: Whether the phenomenon did exactly accord with the theory? We
are aware that it is easy to place the moon at such a distance, that the
result shall strictly correspond with the fact; but, from the parallax,
as derived from observation (and if this
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