A Note on the Use of Generalized Sundman Anomalies in the Numerical Integration of the Elliptical Orbital Motion
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Otros documentos de la autoría: López Ortí, José Antonio; Marco Castillo, Francisco José; Martínez Usó, María José
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A Note on the Use of Generalized Sundman Anomalies in the Numerical Integration of the Elliptical Orbital MotionFecha de publicación
2014-09-11Editor
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/2014/691926/Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
The orbital motion around a central body is an interesting problem that involves the theory of artificial satellites and the planetary
theories in the solar system.Nevertheless some difficult situations appearwhile ... [+]
The orbital motion around a central body is an interesting problem that involves the theory of artificial satellites and the planetary
theories in the solar system.Nevertheless some difficult situations appearwhile studying this apparently simple problem, depending
on each particular case.The real problem consists of searching the perturbed solution from a basic two-body motion problem. In
addition, the perturbed problem must be solved using a numerical method and its efficiency depends on the selected coordinate
system and the corresponding time. In fact, local and global errors are not necessarily homogeneously distributed over the orbit.
In other words, there is a strong relationship between the spatial distribution of the selected points and the temporal independent
variable. This is particularly dramatic in specially difficult cases. This issue leads us to consider different anomalies as temporal
variables, searching for both precision and efficiency.Therefore, we are interested in the study of techniques to integrate the orbital
motion equations using different anomalies as temporal variables which are functions of one or more parameters.The final aim of
this paper is the minimization of the integration errors using an appropriate choice of the parameter depending on the eccentricity
value in the family of the generalized Sundman anomalies. [-]
Publicado en
LÓPEZ ORTÍ, J. A., MARCO CASTILLO, F. J.; MARTÍNEZ USÓ, M. J. A Note on the Use of Generalized Sundman Anomalies in the Numerical Integration of the Elliptical Orbital Motion, Volume 2014, p. 1-8Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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