23. The comet of Encke describes a spiral, gradually converging to the
sun; but at what rate converging? In how many revolutions will it reach
the sun? Of how many folds will its spire consist, before it attains the
end of its course? The answer is:--Of very many. The retardation of
Encke's Comet is very small: so small, that it has tasked the highest
powers of modern calculation to detect it. Still, however, it is there:
detected, and generally acknowledged, and confirmed by every revolution
of the comet, which brings it under our notice; that is, commonly, about
every three years. And having this fact, we must make what we can of it,
in reasoning on the condition of the universe. No accuracy of
calculation is necessary for our purpose: it is enough, if we bring into
view the kind of scale of numbers to which calculation would lead us.
24. Encke's comet revolves round the sun in 1,211 days. The period
diminishes at present, by about one-ninth of a day every revolution.
This amount of diminution will change, as the orbit narrows; but for our
purpose, it will be enough to consider it unchangeable. The orbit
therefore will cease to exist in a number of periods expressed by 9
times 1,211; that is, in something more that 10,000 revolutions; and of
course sooner than this, in consequence of its coming in contact with
the body of the sun. In 30,000 years then, it may be, this comet will
complete its spiral, and be absorbed by the central mass. This long
time, this long series of ten thousand revolutions, are long, because
the resistance is so small, compared with the inertia of the moving
mass. However thin, and rare, and unsubstantial the comet may be, the
medium which resists it is much more so.
25. But this spiral, converging to its pole so slowly that it reaches it
only after 10,000 circuits, is very different indeed from the spirals
which we see in the nebulæ of which we have spoken. In the most
conspicuous of those, there are only at most three or four circular or
oval sweeps, in each spiral, or even the spiral reaches the centre
before it has completed a single revolution round it. Now, what are we
to infer from this? How is it, that the comet has a spiral of so many
revolutions, and the nebulæ of so few? What difference of the mechanical
conditions is indicated by this striking difference of form? Why, while
the Comet thus lingers longer in the outer space, and approaches the sun
by almost imperceptible degrees, does the Nebular Element rush, as it
were, headlong to its centre, and show itself unable to circulate even
for a few revolutions?
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