Remarks on some classical problems of celestial mechanics

Several problems not yet solved arise when expansions of the disturbing function are considered. Main troubles are due to the large number of terms of the periodic developments. Such difficulties lead to search the representation of a very great amount of terms with small amplitudes, by means of clo...

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Detalles Bibliográficos
Autor principal: Altavista, C.A.
Formato: Articulo
Lenguaje:Español
Publicado: 1968
Materias:
Astronomía
Galaxias
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/93070
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-93070
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Astronomía
Galaxias
spellingShingle Astronomía
Galaxias
Altavista, C.A.
Remarks on some classical problems of celestial mechanics
topic_facet Astronomía
Galaxias
description Several problems not yet solved arise when expansions of the disturbing function are considered. Main troubles are due to the large number of terms of the periodic developments. Such difficulties lead to search the representation of a very great amount of terms with small amplitudes, by means of closed expressions. Balance should be performed between the amount of the arithmetic errors introduced by the consideration of the full original developments and the errors due to the chosen approximate representations. It is also interesting to point out that developments are strongly shortened when true (or eccentric) anomaly is used as independent variable. This statement implies a change in the setting of the solution of the classical three-body problem. Moreover, it is observed, that usual formula which give the errors of the elementary arithmetic operations may not be valid in view of the presence of a "range of ambiguity", owing to the particular structure of the developments which represent the solutions of the disturbed problem, in the sense that many coefficients of the periodic terms are compatible with observable quantities, i.e. the accuracy of the orbital elements, despite that their "components" may not satisfy this condition. Special theories must be then developed to cover the several fields of the problem, some of which are in progress at present.
format Articulo
Articulo
author Altavista, C.A.
author_facet Altavista, C.A.
author_sort Altavista, C.A.
title Remarks on some classical problems of celestial mechanics
title_short Remarks on some classical problems of celestial mechanics
title_full Remarks on some classical problems of celestial mechanics
title_fullStr Remarks on some classical problems of celestial mechanics
title_full_unstemmed Remarks on some classical problems of celestial mechanics
title_sort remarks on some classical problems of celestial mechanics
publishDate 1968
url http://sedici.unlp.edu.ar/handle/10915/93070
work_keys_str_mv AT altavistaca remarksonsomeclassicalproblemsofcelestialmechanics
bdutipo_str Repositorios
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