A View of Sir Isaac Newton's PhilosophyPemberton, Henry
Science
A View of Sir Isaac Newton's Philosophy
Pemberton, Henry
Newton, Isaac, 1642-1727. Principia
16. SEE how all this naturally follows from the foregoing principles
in those planets, which have satellites moving about them. By the
times, in which these satellites perform their revolutions, compared
with their distances from their respective primary, the proportion
between the power, with which one primary attracts his satellites, and
the force with which any other attracts his will be known; and the
proportion of the power with which any planet attracts its secondary,
to the power with which it attracts a body at its surface is found,
by comparing the distance of the secondary planet from the center of
the primary, to the distance of the primary planet’s surface from the
same: and from hence is deduced the proportion between the power of
gravity upon the surface of one planet, to the gravity upon the surface
of another. By the like method of comparing the periodical time of a
primary planet about the sun, with the revolution of a satellite about
its primary, may be found the proportion of gravity, or of the weight
of any body upon the surface of the sun, to the gravity, or to the
weight of the same body upon the surface of the planet, which carries
about the satellite.
17. BY these kinds of computation it is found, that the weight of the
same body upon the surface of the sun will be about 23 times as great,
as here upon the surface of the earth; about 10⅗ times as great, as
upon the surface of Jupiter; and near 19 times as great, as upon the
surface of Saturn[257].
18. THE quantity of matter, which composes each of these bodies, is
proportional to the power it has upon a body at a given distance. By
this means it is found, that the sun contains 1067 times as much matter
as Jupiter; Jupiter 158⅔ times as much as the earth, and 2-5/6 times as
much as Saturn[258]. The diameter of the sun is about 92 times, that of
Jupiter about 9 times, and that of Saturn about 7 times the diameter of
the earth.
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