2024-03-29T08:41:57Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1199432024-03-01T08:22:52Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
López Ortí, José Antonio
author
Marco Castillo, Francisco José
author
Martínez Usó, María José
2015-05-11T10:58:06Z
2015-05-11T10:58:06Z
2014-02-24
Abstract and Applied Analysis, volume 2014 (2014)
http://hdl.handle.net/10234/119943
http://dx.doi.org/10.1155/2014/162060
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.
eng
Natural anomalies
Secondary anomalies
Ellipse
Perturbed two-body problem
Theories of the planetary motion
A Study about the Integration of the Elliptical Orbital Motion Based on a Special One-Parametric Family of Anomalies
info:eu-repo/semantics/article
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