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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.
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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]
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.
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In classical mechanics, the central-force problem is to determine the motion of a particle in a single central potential field.A central force is a force (possibly negative) that points from the particle directly towards a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center.
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 ...
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