MÃtodos variacionais e soluÃÃes periÃdicas minimizantes para os problemas de Kepler, 3 e 4 corpos

AUTOR(ES)
DATA DE PUBLICAÇÃO

2005

RESUMO

In this dissertation, we make an introduction to the variational methods with intention of finding minimum of certain functionals. In particular, the minimum of the action function, are solutions of the N-body problem if they donât collisions. We study the minimum of the action functional for the Kepler problem, where we have check that on certain spaces the circular orbits minimize such functional. Also, we study the minimum property of the orbits for the relative action functional to the three body planar problem with equal masses. With certain topological restriction and some symmetries we made a study of the orbit "figure eight", found by A. Chenciner e R. Montgomery [6], showing that the bodies that move on this orbit donât collide. Moreover, we made a brief study on the action functional related to the parallelogram planar problem of the four bodies

ASSUNTO(S)

matematica soluÃÃes periÃdicas mÃtodos variacionais "figura oito" - a. chenciner e r. montgomery kepler

ACESSO AO ARTIGO

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