I introduce this hypothesis in order to be discussed by scientists. I do not claim that I now have any mathematical proof or practical model to support Attiyah's Planetary Motion. I consider that the Kepler's second and third laws themselves support my hypothesis. It seems to me that Kepler failed to conclude that, relative to the Sun, the motion of the planets is the same as of the pendulum.Thus, he coined his second and third laws as alternative statements to express the laws of the simple harmonic motion of the planets. I'm inclined to say that Kepler (1571-1630 A.D.) was not aware of the work of Galileo (1564-1642 A.D.) on the pendulum and the laws of its motion he discovered.
The hypothesis of Attiyah's Planetary Motion is four propositions:
1- The planets move not around the Sun but in front of it.
2- The planetary motion in front of the Sun is of the simple harmonic type.
3- The planet (the bob), gravitational force (the length, the line between the planet's gravity center and the solar gravity center) and the Sun (the solar gravity center as the pivot point), altogether form a pendulum.
4- The planets oscillate in front of the Sun in hemiellipses or quasihemiellipses.
1) This hypothesis is an alternative of Kepler's first law only.
2) This hypothesis does not apply to the motion of the satellites.
Kepler's three laws
· Kepler's first law (The Law of Ellipses): The paths of the planets around the sun are elliptical in shape, with the center of the sun being located at one focus.
Thus, Kepler rejected the ancient Aristotelean, Ptolemaic,and Copernican belief in a circular motion.
· Kepler's second law (The Law of Equal Areas): An imaginary line drawn from the center of the sun to the center of the planet will sweeps out equal areas in equal intervals of time.
This means that the planet travels faster while close to the sun and slows down when it is farther from the sun. With his law, Kepler destroyed the Aristotelean astronomical theory that planets have a uniform velocity.
· Kepler's third law (The Law of Harmonies): The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun.
This means not only that larger orbits have longer periods, but also that the speed of a planet in a larger orbit is lower than in a smaller orbit.
Edited by SaRuMaN, 05 April 2008 - 09:03 AM.
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