Newton showed that the moon, the sun, the planets--every body in space
conformed to this law. The earth attracts the moon; but so does the
moon the earth. If the moon revolves around the earth rather than the
earth around the moon, it is because the earth is a much larger body,
and hence its gravitational pull is stronger. The same is true of
the relationship existing between the earth and the sun.
Further Developments of Newton's Law of Gravitation. When we speak of
the earth attracting the moon, and the moon the earth, what we really
mean is that every one of the myriad particles composing the earth
attracts every one of the myriad particles composing the moon, and
vice versa. If in dealing with the attractive forces existing between
a planet and its satellite, or a planet and the sun, the power exerted
by every one of these myriad particles would have to be considered
separately, then the mathematical task of computing such forces
might well appear hopeless. Newton was able to present the problem
in a very simple form by pointing out that in a sphere such as the
earth or the moon, the entire mass might be considered as residing
in the center of the sphere. For purposes of computation, the earth
can be considered a particle, with its entire mass concentrated at
the center of the particle. This viewpoint enabled Newton to extend
his law of inverse squares to the remotest bodies in the universe.
If this great law of Newton's found such general application beyond our
planet, it served an equally useful purpose in explaining a number of
puzzling features on this planet. The ebb and flow of the tides was one
of these puzzles. Even in ancient times it had been noticed that a full
moon and a high tide went hand in hand, and various mysterious powers,
were attributed to the satellite and the ocean. Newton pointed out that
the height of the water was a direct consequence of the attractive
power of the moon, and, to a lesser extent, because further away,
of the sun.
Public-domain text, read in full here on John Shaqi.
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