The nebular hypothesis stipulates further that satellites must revolve
more slowly than their primaries rotate. The reason is patent. In
the periodic time of a body detached by centrifugal acceleration the
rate of gyration of the original mass is, if the theory be valid,
perpetuated. Subsequent contraction tends to quicken, and very
greatly to quicken, the rotation of the planet, while the period of
the satellite survives unaltered as a standing record of what the
joint period was. This relation may indeed be modified by the effects
of tidal friction, but it is more than doubtful whether it can ever
be reversed. It is, then, a characteristic feature of the mode of
evolution described by Laplace that no month--so to call it--can be
shorter than the corresponding day. And the rule is conformed to in
nearly every part of the solar system. Nevertheless, two flagrant
violations of it have lately obtruded themselves upon notice, and
can scarcely be explained away by supplementary hypotheses. The
first ascertained anomaly of the kind was met with in the swift
circulation of Phobos, the inner satellite of Mars, which completes
three revolutions and enters upon a fourth while the planet attended
by it wheels once on its axis. The fact is most perplexing, and the
confident persuasion that solar tidal friction would avail to remove
the difficulty has not proved well grounded. Solar tidal friction, it
may be remarked, acts as an external force upon subordinate systems
submitted to its influence. Within their precincts moment of momentum
may be destroyed by it; it tends, so far, to abrogate the law of
conservation; and the supposition was hence feasible that the rotation
of Mars had, in the course of ages, greatly slackened through the
retarding effect of sun-raised tides. But the agency was demonstrably
inadequate to the task assigned to it.
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