Let us suppose that there
was
no other star in the universe
than our own sun, and let
us
further, for the sake of making
the argument clearer,
suppose
that the sun was deprived of its
system of attendant
worlds. Next, let some
other object be introduced which we
may
suppose to be extremely light, like a wisp of
vapour, and
let it be situated at a distance
from the sun which we may regard
as inde
finitely great. These two bodies, namely,
the sun and
this wisp of vapour, are then
supposed to be abandoned to their
mutual
attraction. Each of these objects will pull
the other,
and the result of the attraction
between the two bodies will be to
make them
approach each other. As, however, the
mass of the
sun is so vast, while the mass
of the wisp is so small, we may
fairly
assume that the greater part of this move
ment will be
done by the wisp, while the sun
will remain comparatively at rest.
The case
is indeed much of the same in this respect as in
the
fall of a stone to the ground. The stone
goes down to meet the
earth, but the earth
at the same time comes up to meet the
stone.
As, however, the earth is more massive than
millions of
millions of stones, the actual
movement performed by the earth is
in this
case quite unappreciable. We may therefore
say, with
truth enough for all practical
purposes, that it is the stone which
does all
the moving, while the earth remains at
rest.
In the same manner we may suppose the
sun to be at rest, while the
wisp of vapour
is drawn towards it from the depths of
space.
At first, no doubt the motion may be
extremely slow:
for the attraction of the
sun decreases with its distance.
Indeed,
the wisp of vapour might be so remote, that
it would
require thousands of years to move
over an inch. But as the motion
progresses
the body will gradually acquire speed, until
after
the lapse of a time, so long that we shall
not attempt to express
it in figures, the little
object will be found hurrying in towards
the
sun with the speed of an express train; still
the pace
will grow until the approaching
object will be moving as quickly as
a rifle
bullet. The intervening distance is now
rapidly
dimishing; but, as that distance
increases, and, consequently, the pace at
which the object is urged onwards becomes
greater and greater. From moving at the
rate of a mile in a second, the little object
would gradually attain a speed not less
than that of the earth in its orbit, namely,
about eighteen miles a second. Still
the body presses onwards, until a pace could
be reached of 100 or 200 miles a second.
Finally, when the vapour would be about to
make the terrific plunge into the glowing sun,
its speed would be upwards of 400 miles a
second. The vastness of this speed may
be realized from the fact that a body
animated by so great a velocity would
accomplish a complete circuit of the earth
in about a minute.
The case which I have supposed is, how
ever, not
exactly that of a comet. The
movement would hardly take place in
the
way just described, in which the sun and
the wisp of
vapour were both orginally
at rest. Such a state of things could
hardly
be possible in Nature. We may, no doubt,
suppose the
sun to have been at rest, for it
is only the relative movements of
the two
bodies which concern us. But we can hardly
imagine
that the wisp of vapour could have
been so delicately placed as to
have had
absolutely no motion whatever, except, in
deed, in
the direct line towards the sun. If,
at the moment of starting, the
object pos
essed a movement which would carry it in
the course
of time out of the direct line
to the sun, then a totally different
condition
of motion would be the
result.
All the time that the sun was drawing this
wisp of vapour towards
it, the transverse move
ment would be gradually moving the
wisp
out of the direct line. Now, though the
speed of that
movement may be very small,
yet in the lapse of those millions
of
years that are required to draw the body into the
sun, this
transverse movement will have
increased to such an extent that the
object
will the miss the sun instead of hitting it. In
fact,
after its stupendous voyage from the
indefinitely remote depths of
space, during
which it has acquired its vast speed of
scores
or hundreds of miles a second, the comet will
be found
not plunging into the sun, but