Planetary Motion and the Duality of Force Laws

DOI10.1137/S0036144598346005zbMath0956.70012OpenAlexW2020781056MaRDI QIDQ4943951

Krešimir Josić, Rachel Wells Hall

Publication date: 19 March 2000

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036144598346005

zbMATH Keywords

two-body problemdualityHooke's lawNewton's lawcomplex transformationgeometric function theoryMatlab programcentripetal attraction

Mathematics Subject Classification ID

Two-body problems (70F05) Geometric function theory (30C99)

Related Items (9)

The Newton and Coulomb laws as information transfer by virtual particles ⋮ Complex Representation of Planar Motions and Conserved Quantities of the Kepler and Hooke Problems ⋮ Models with virtual force carriers in classical particle physics ⋮ Solving eigenproblem by duality transform ⋮ New solutions to the central force problem: a class of generalized conic trajectories ⋮ Generalized Emden-Fowler equations in noncentral curl forces and first integrals ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms ⋮ Duality family of scalar field ⋮ Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate

Uses Software

• Matlab

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