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  2. Newton's theorem of revolving orbits - Wikipedia

    en.wikipedia.org/wiki/Newton's_theorem_of...

    For comparison, Newton's theorem of revolving orbits corresponds to the case a = 1 and b = 0, so that r 1 = r 2. In this case, the original force is not scaled, and its argument is unchanged; the inverse-cube force is added, but the inverse-square term is not. Also, the path of the second particle is r 2 = g(θ 2 /k), consistent with the ...

  3. Apsidal precession - Wikipedia

    en.wikipedia.org/wiki/Apsidal_precession

    Newton derived an early theorem which attempted to explain apsidal precession. This theorem is historically notable, but it was never widely used and it proposed forces which have been found not to exist, making the theorem invalid. This theorem of revolving orbits remained largely unknown and undeveloped for over three centuries until 1995. [14]

  4. File:Newton revolving orbit diagram.svg - Wikipedia

    en.wikipedia.org/wiki/File:Newton_revolving...

    English: Diagram illustrating Newton's derivation of his theorem of revolving orbits. Date: 23 August 2008: Source: Own work: ... Newton's theorem of revolving orbits;

  5. De motu corporum in gyrum - Wikipedia

    en.wikipedia.org/wiki/De_motu_corporum_in_gyrum

    (Newton's later first law of motion is to similar effect, Law 1 in the Principia.) 3: Forces combine by a parallelogram rule. Newton treats them in effect as we now treat vectors. This point reappears in Corollaries 1 and 2 to the third law of motion, Law 3 in the Principia.

  6. Classical central-force problem - Wikipedia

    en.wikipedia.org/wiki/Classical_central-force...

    Illustration of Newton's theorem of revolving orbits. The green planet completes one (subharmonic) orbit for every three orbits of the blue planet ( k =1/3). A GIF version of this animation is found here .

  7. Newton's theorem - Wikipedia

    en.wikipedia.org/wiki/Newton's_theorem

    Newton's theorem of revolving orbits; Newton's shell theorem This page was last edited on 28 June 2021, at 14:38 (UTC). Text is available under the Creative ...

  8. File:Newton revolving orbits.svg - Wikipedia

    en.wikipedia.org/wiki/File:Newton_revolving...

    English: Schematic illustrating Newton's theorem of revolving orbits. Meant to be coupled with Image:Newton revolving orbit 3rd subharmonic e0.6 240frames smaller.gif. The smaller angle θ here is 20 degrees, whereas the larger angle kθ equals 60 degrees; hence, k equals 3.

  9. Two-body problem in general relativity - Wikipedia

    en.wikipedia.org/wiki/Two-body_problem_in...

    Nearly a century later, Isaac Newton had formulated his three laws of motion. In particular, Newton's second law states that a force F applied to a mass m produces an acceleration a given by the equation F=ma. Newton then posed the question: what must the force be that produces the elliptical orbits seen by Kepler?