Ether (Space); Force and energy; Gravitation; Matter
According to Newton, the planet when at _B_ would still have a tendency
to fly off into space owing to its Centrifugal Force, but it is held in
check by the Centripetal Force, so that instead of it flying off into
space, it is whirled round and starts off on its journey away from the
sun in the direction of _B_, _C_. The sun, however, is still continuing
its journey in the direction of _S_, _H_, so that not only is the
increased orbital velocity of the earth, which it obtained at its
perihelion, urging the earth away from the sun, but the sun itself in
its advance through space is leaving the earth behind it. The combined
effect of the two motions, the advancing motion of the sun, and the
receding motion of the earth, due to its increased orbital velocity,
drives the earth towards the aphelion, where its distance from the sun
is greatest, and its orbital velocity is the least.
By the time the planet has arrived at point _C_, its motion through
space has gradually decreased, and the Centripetal Force begins to
re-assert itself, with the result that the earth is slowly made to
proceed towards the point _D_ of the ellipse, at which point its motion
is the slowest in orbital velocity, only travelling about 16 miles per
second, while the distance of the earth from the sun is the greatest and
has increased from 91,000,000 miles at the perihelion to 94,500,000.
This point of the orbit is known as its aphelion.
After rounding this point, the orbital velocity of the earth begins to
increase again, owing to the diminishing distance of the earth from the
sun, which according to the law of inverse squares (Art. 22) gives an
added intensity to the Centripetal Force.
Thus by the combination of the Laws of Motion and the Law of Gravitation
discovered by Newton, he was able to satisfactorily account for and
explain on a mathematical basis, the reason why the earth and all the
other planets move round the sun in elliptic orbits, according to
Kepler's First Law.
In the development of the physical cause of gravitation, therefore, the
same physical medium, which accounts for that law, must also give a
satisfactory explanation of the first of Kepler's Laws.
ART. 27. _Kepler's Second Law._--This law states that the Radius Vector
describes equal areas in equal times. The Radius Vector is the imaginary
straight line joining the centres of the sun and the earth or planet.
While the First Law shows us the kind of path which a planet takes in
revolving round the sun, the Second Law describes how the velocity of
the planet varies in different parts of its orbit.
Public-domain text, read in full here on John Shaqi.
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