On the existence of periodic orbits in a class of mechanical hamiltonian systems -an elementary proof

2009/12/31 by Luiz C. L. Botelho, Botelho, Luiz C L
Engineering · #Classical Physics (physics.class-ph) #Control and Dynamics of Mobile Robots #Dynamics and Control of Mechanical Systems #Elasticity and Wave Propagation #FOS: Physical sciences #General Physics (physics.gen-ph)

paper · pdf · doi:10.48550/arxiv.1001.0146

openalex publication_date 2009/12/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present an illustrative application of the two famous mathematical theorems in differential topology in order to show the existence of periodic orbits with arbitrary given period for a class of hamiltonians .This result point out for a mathematical answer for the long standing problem of existence of Planetary Sistems around stars.

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