If we are to extend the law of gravitation to the utmost, we must
be careful to consider the law itself in its most complete form.
A heavenly body like the sun is often said to govern the motions
of its family of planets; but such a statement is not strictly
accurate. The governing body is no despot; 'tis an abject slave of
law and order, as much as the tiniest of attendant planets. The
action of gravitation is mutual, and no cosmic body can attract
another without being itself in turn subject to that other's
gravitational action.
If there were in our solar system but two bodies, sun and planet,
we should find each one pursuing a path in space under the
influence of the other's attraction. These two paths or orbits
would be oval, and if the sun and planet were equally massive, the
orbits would be exactly alike, both in shape and size. But if the
sun were far larger than the planet, the orbits would still be
similar in form, but the one traversed by the larger body would be
small. For it is not reasonable to expect a little planet to keep
the big sun moving with a velocity as great as that derived by
itself from the attraction of the larger orb.
Whenever the preponderance of the larger body is extremely great,
its orbit will be correspondingly insignificant in size. This is
in fact the case with our own sun. So massive is it in comparison
with the planets that the orbit is too small to reveal its actual
existence without the aid of our most refined instruments. The path
traced out by the sun's centre would not fill a space as large as
the sun's own bulk. Nevertheless, true orbital motion is there.
So we may conclude that as a necessary consequence of the law of
gravitation every object within the solar system is in motion. To
say that planets revolve about the sun is to neglect as unimportant
the small orbit of the sun itself. This may be sufficiently
accurate for ordinary purposes; but it is unquestionably necessary
to neglect no factor, however small, if we propose to extend our
reasoning to a consideration of the stellar universe. For we shall
then have to deal with systems in which the planets are of a size
comparable with the sun; and in such systems all the orbits will
also be of comparatively equal importance.
Public-domain text, read in full here on John Shaqi.
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