A Note on the Use of Generalized Sundman Anomalies in the Numerical Integration of the Elliptical Orbital Motion
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Altres documents de l'autoria: 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 MotionData de publicació
2014-09-11Editor
Hindawi Publishing CorporationCita bibliogràfica
Abstract and Applied Analysis, volume 2014 (2014)Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.hindawi.com/journals/aaa/2014/691926/Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
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. 1-8Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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