A Study about the Integration of the Elliptical Orbital Motion Based on a Special One-Parametric Family of Anomalies
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Título
A Study about the Integration of the Elliptical Orbital Motion Based on a Special One-Parametric Family of AnomaliesFecha de publicación
2014-02-24Editor
Hindawi Publishing CorporationCita bibliográfica
Abstract and Applied Analysis, volume 2014 (2014)Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.hindawi.com/journals/aaa/2014/162060/Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
This paper aimed to address the study of a new family of anomalies, called natural anomalies, defined as a one-parameter convex
linear combination of the true and secondary anomalies, measured from the primary and ... [+]
This paper aimed to address the study of a new family of anomalies, called natural anomalies, defined as a one-parameter convex
linear combination of the true and secondary anomalies, measured from the primary and the secondary focus of the ellipse, and
its use in the study of analytical and numerical solutions of perturbed two-body problem.We take two approaches: first, the study
of the analytical development of the basic quantities of the two-body problem to be used in the analytical theories of the planetary
motion and second, the study of the minimization of the errors in the numerical integration by an appropriate choice of parameters
in our family for each value of the eccentricity. The use of an appropriate value of the parameter can improve the length of the
developments in the analytical theories and reduce the errors in the case of the numerical integration. [-]
Publicado en
LÓPEZ ORTÍ, J. A.; MARCO CASTILLO, F. J.; MARTÍNEZ USÓ M. J. A Study about the Integration of the Elliptical Orbital Motion Based on a Special One-Parametric Family of Anomalies. Abstract and Applied Analysis, volume 2014 (2014), p. 1-11Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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