A new bi-parametric family of temporal transformations to improve the integration algorithms in the study of the orbital motion
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Otros documentos de la autoría: López Ortí, José Antonio; Agost Gómez, Vicente; Barreda Rochera, Miguel
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A new bi-parametric family of temporal transformations to improve the integration algorithms in the study of the orbital motionFecha de publicación
2016-02-06xmlui.dri2xhtml.METS-1.0.item-edition
PostprintEditor
ElsevierCita bibliográfica
LÓPEZ ORTÍ, José Antonio; AGOST GÓMEZ, Vicente; BARREDA ROCHERA, Miguel. A new bi-parametric family of temporal transformations to improve the integration algorithms in the study of the orbital motion. Journal of Computational and Applied Mathematics (2016) (Available online 6 February)Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0377042716300371Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
One of the fundamental problems in celestial mechanics is the study of the orbital motion of the bodies in the solar system. This study can be performed through analytical and numerical methods. Analytical methods are ... [+]
One of the fundamental problems in celestial mechanics is the study of the orbital motion of the bodies in the solar system. This study can be performed through analytical and numerical methods. Analytical methods are based on the well-known two-body problem; it is an integrable problem and its solution can be related to six constants called orbital elements. To obtain the solution of the perturbed problem, we can replace the constants of the two-body problem with the osculating elements given by the Lagrange planetary equations. Numerical methods are based on the direct integration of the motion equations. To test these methods we use the model of the two-body problem with high eccentricity.
In this paper we define a new family of anomalies depending on two param- eters that includes the most common anomalies. This family allows to obtain more compact developments to be used in analytical series. This family can be also used to improve the efficiency of the numerical methods because defines a more suitable point distribution with the dynamics of the two-body problem. [-]
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Journal of Computational and Applied Mathematics (2016), (online 6 February)Derechos de acceso
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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