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About the Keplerization of motion in any central force field

2025/01/02 by Christian Carimalo, Carimalo, Christian
Computer Science · Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Computational Physics and Python Applications #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Geotechnical and Geomechanical Engineering

paper · pdf · doi:10.48550/arxiv.2501.01247

openalex publication_date 2025/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The method of keplerization of one-body motion in any central force field, introduced by Martinusi and Gurfil in 2012, is reviewed and reformulated into a general homogenization method which applies to any kind of bounded motion. It is also shown how this extended method provides a proof of the existence of a dynamical symmetry group and how it can be used to extend that group to a global symmetry group, for any such system

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