On the influence of geometric intuition in the development of celestial mechanics

The connections between geometric intuition and the analytic statement of a problem are briefly investigated. It is especially emphasized the implications involved by Lagrange's classical method of the variation of the parameters when applied to perturbation theories. To avoid some difficulties...

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Detalles Bibliográficos
Autor principal: Altavista, Carlos Alberto
Formato: Articulo Comunicacion
Lenguaje:Inglés
Publicado: 1965
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/92578
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Sumario:The connections between geometric intuition and the analytic statement of a problem are briefly investigated. It is especially emphasized the implications involved by Lagrange's classical method of the variation of the parameters when applied to perturbation theories. To avoid some difficulties which arise in classical methods, a new guide is proposed, that essentially implies the classification of the orbital variables according to the role they play.