There is no substance in nature that will not change its shape through
prolonged stress, and the more readily the nearer it approaches to the
fluid condition. The heaping-up of the waters on the earth's surface at
the bidding of the moon is thus a differential effect. Continents heave
and subside as well as oceans, though not nearly to the same extent.
The measurable rise of water serves to gauge the relative mobilities
of the solid globe and of its liquid envelope. If the former did not
yield at all to the pull so readily obeyed by the latter, the tides
would, in fact, be greater than they actually are in the proportion of
about three to two, the ratio indicating for the earth an effective
rigidity at least equal to that of steel.[29] Were there no discrepancy
in rigidity between the various parts of our terraqueous world, tides
would fail to be perceptible. The ocean and the bed of the ocean would
rise and fall together, and to the same extent. In the far past there
_was_ no discrepancy. The viscous earth took, as a whole, the form
momentarily impressed upon it by the unequal attractions of the sun and
moon on its variously distant sections, with the upshot of bringing the
year, month, and day into relations so familiar as to appear inevitable.
Tidal friction does not merely act as a check upon rotational speed.
One element of motion in a system cannot be altered without some
counter-change in the others. They are coupled up together like a train
of geared wheels. From the principle of the conservation of moment of
momentum, we know with certainty that a loss in one direction must
be compensated by a gain in some other. Tidal friction had, then,
reactive consequences. They were first adverted to by Julius Robert
Mayer in 1848,[30] and were brought prominently into view in the series
of investigations begun by Professor Darwin in 1879. The rotational
momentum removed from the earth by the drag of a circulating wave of
deformation must assuredly have reappeared in some other part of the
system. It was restored, all but the percentage wasted as heat, by the
widening of the lunar orbit.[31] Concomitantly with the slackening of
the earth's axial rate, the moon retreated from its surface, pulled
forward by the tidal crest continually in advance of its position. This
redressed the balance by augmenting orbital momentum, while at the same
time diminishing the moon's linear velocity. The importance of this
secondary frictional effect in the history of the earth-moon system was
the virtual discovery of Professor Darwin.
Public-domain text, read in full here on John Shaqi.
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