On the application of Von Zeipel's theorem to the Asteroid Valentine

In Bulletin of the A.A.A. N° 7 I have shown some previous results obtained in the application of Von Zeipel’s method to the asteroid Valentine. At present I have completed the elimination of the short period terms according to Brouwer’s precepts. Solutions for the six elements L ,G ,H ,l ,g, h inclu...

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Detalles Bibliográficos
Autor principal: Altavista, Carlos
Formato: Articulo Comunicacion
Lenguaje:Español
Publicado: 1970
Materias:
Astronomía
Galaxias
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97955
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-97955
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, Carlos
On the application of Von Zeipel's theorem to the Asteroid Valentine
topic_facet Astronomía
Galaxias
description In Bulletin of the A.A.A. N° 7 I have shown some previous results obtained in the application of Von Zeipel’s method to the asteroid Valentine. At present I have completed the elimination of the short period terms according to Brouwer’s precepts. Solutions for the six elements L ,G ,H ,l ,g, h include terms up to the third degree in the eccentricities of Jupiter and Valentine and the mutual inclination of the r orbits. Some selected fourth-degree terms are to be added on account of the inequality 7n — 3n. The Hamiltonian for this approximation can be easily obtained from the well known results in the theory of secular perturbations. Numerical results are being obtained by computing values of the coefficients of the analytical solutions. A program for the 1620 IBM has been developed for this purpose. The slow convergence of the solution is due to the rather large value of the relationship between semi-major axes of Jupiter and Valentine. More values for the Laplacian constants are needed to complete the numerical solution of the approximation. I hope to get final numerical results in 1970.
format Articulo
Comunicacion
author Altavista, Carlos
author_facet Altavista, Carlos
author_sort Altavista, Carlos
title On the application of Von Zeipel's theorem to the Asteroid Valentine
title_short On the application of Von Zeipel's theorem to the Asteroid Valentine
title_full On the application of Von Zeipel's theorem to the Asteroid Valentine
title_fullStr On the application of Von Zeipel's theorem to the Asteroid Valentine
title_full_unstemmed On the application of Von Zeipel's theorem to the Asteroid Valentine
title_sort on the application of von zeipel's theorem to the asteroid valentine
publishDate 1970
url http://sedici.unlp.edu.ar/handle/10915/97955
work_keys_str_mv AT altavistacarlos ontheapplicationofvonzeipelstheoremtotheasteroidvalentine
bdutipo_str Repositorios
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