Newton and the Transmutation of Force

DOI10.2307/2323768zbMath0773.01004OpenAlexW2052591300MaRDI QIDQ4039064

Tristan Needham

Publication date: 3 November 1993

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2323768

zbMATH Keywords

analytical transformation

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) History of mathematics in the 17th century (01A45)

Related Items (8)

Complex Representation of Planar Motions and Conserved Quantities of the Kepler and Hooke Problems ⋮ Darboux inversions of the Kepler problem ⋮ Solving eigenproblem by duality transform ⋮ Transmutation of central forces and Bertrand’s theorem ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms ⋮ Duality family of scalar field ⋮ Arnol’d’s transformation—An example of a generalized canonical transformation ⋮ Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate

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