Exact and approximate integrals of some canonical systems : Serie Astronómica - Tomo XXXVI

In the first part of this paper we discuss two cases in which the celebrated Poincaré’s theorem is not applicable, but it still holds. In the second part, the formal integral of the restricted problem of three bodies proposed by Contopoulos is discussed. We show that without violating Contopoulos’ r...

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Autor principal: Cesco, Reynaldo Pedro
Formato: Publicacion seriada
Lenguaje:Español
Publicado: Observatorio Astronómico de la Universidad Nacional de La Plata 1970
Materias:
Ciencias Astronómicas
Física
Contopoulos’ rule
Poincaré’s theorem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/144965
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-144965
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Ciencias Astronómicas
Física
Contopoulos’ rule
Poincaré’s theorem
spellingShingle Ciencias Astronómicas
Física
Contopoulos’ rule
Poincaré’s theorem
Cesco, Reynaldo Pedro
Exact and approximate integrals of some canonical systems : Serie Astronómica - Tomo XXXVI
topic_facet Ciencias Astronómicas
Física
Contopoulos’ rule
Poincaré’s theorem
description In the first part of this paper we discuss two cases in which the celebrated Poincaré’s theorem is not applicable, but it still holds. In the second part, the formal integral of the restricted problem of three bodies proposed by Contopoulos is discussed. We show that without violating Contopoulos’ rule his integral 00 [fórmula] may be reduced to [fórmula], if use is made of the integrals of the osculating problem. Moreover, we give a very simple example showing that the approximate integral to the second order in μ, obtained by applying Contopoulos’ rule, may be in error of order μ2.
format Publicacion seriada
Publicacion seriada
author Cesco, Reynaldo Pedro
author_facet Cesco, Reynaldo Pedro
author_sort Cesco, Reynaldo Pedro
title Exact and approximate integrals of some canonical systems : Serie Astronómica - Tomo XXXVI
title_short Exact and approximate integrals of some canonical systems : Serie Astronómica - Tomo XXXVI
title_full Exact and approximate integrals of some canonical systems : Serie Astronómica - Tomo XXXVI
title_fullStr Exact and approximate integrals of some canonical systems : Serie Astronómica - Tomo XXXVI
title_full_unstemmed Exact and approximate integrals of some canonical systems : Serie Astronómica - Tomo XXXVI
title_sort exact and approximate integrals of some canonical systems : serie astronómica - tomo xxxvi
publisher Observatorio Astronómico de la Universidad Nacional de La Plata
publishDate 1970
url http://sedici.unlp.edu.ar/handle/10915/144965
work_keys_str_mv AT cescoreynaldopedro exactandapproximateintegralsofsomecanonicalsystemsserieastronomicatomoxxxvi
bdutipo_str Repositorios
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