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Newton's theorem of revolving orbits was his first attempt to understand apsidal precession quantitatively. According to this theorem, the addition of a particular type of central force—the inverse-cube force—can produce a rotating orbit; the angular speed is multiplied by a factor k , whereas the radial motion is left unchanged.
English: According the Newton's theorem of revolving orbits the planets revolving the Sun follow elliptical (oval) orbits that rotate gradually over time (apsidal precession). The eccentricity of this ellipse is exaggerated for visualization. Most orbits in the Solar System have a much smaller eccentricity, making them nearly circular.
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;
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.
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]
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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 ...
1 Newton's theorem of revolving orbits. Toggle the table of contents. Wikipedia: Peer review/Newton's theorem of revolving orbits/archive1. Add languages. Add links ...