Re: The Cosmological Principle



Sam Wormley wrote:
oriel36 wrote:

To Sam

The first people to enjoy the original heliocentric thinking based on
how  apparent retrograde motions were resolved will have no time for
Newton and is muddle headed ideas on planetary motion.


Johannes Kepler -- more than 900 pages of calculation in about four years attempted to measure the orbit of Mars

  o from a moving platform
  o who's orbit was not centered on the Sun
  o rotating on its axis
  o of a planet varying in its orbital speed around the Sun.

Kepler's calculations were immensely difficult... but he eventually realized
that an ellipse with an eccentricity of about nine percent agreed with
Tycho Brahe's observational data. Kepler found that the orbits of planets
in our solar system follow ellipses, sweeping out equal areas in equal
times (Newton would later show this as the conservation of angular
momentum as you point out).


Newton discovered (and showed mathematically) that objects in free fall
(such as planets influenced by a central force like the Sun's gravity)
follow the paths of conic sections.

Ref: http://learning.physics.iastate.edu/DemoRoom/MU.htm#22

Available for viewing online http://www.learner.org/resources/series42.html


The combination of Newton's law of gravity and F=ma . The task of deducing all three of Kepler's laws from Newton's universal law of gravitation is known as the Kepler problem. Its solution is one of the crowning achievements of Western thought.

A model for Gravitation was essential.
  http://scienceworld.wolfram.com/physics/Gravity.html

.



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