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dc.contributor.authorLópez Ortí, José Antonio
dc.contributor.authorMarco Castillo, Francisco José
dc.contributor.authorMartínez Usó, María José
dc.date.accessioned2016-04-11T09:02:03Z
dc.date.available2016-04-11T09:02:03Z
dc.date.issued2016
dc.identifier.citationLÓPEZ ORTÍ, José A.; MARCO CASTILLO, Francisco José; MARTÍNEZ USÓ, María José. Geometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem. Journal of Computational and Applied Mathematics, 2016.ca_CA
dc.identifier.issn0377-0427
dc.identifier.urihttp://hdl.handle.net/10234/156905
dc.description.abstractThis paper is aimed to address the study of techniques focused on the use of a family of anomalies based on a family of geometric transformations that includes the true anomaly f, the eccentric anomaly g and the secondary anomaly f′ defined as the polar angle with respect to the secondary focus of the ellipse. This family is constructed using a natural generalization of the eccentric anomaly. The use of this family allows closed equations for the classical quantities of the two body problem that extends the classic, which are referred to eccentric, true and secondary anomalies. In this paper we obtain the exact analytical development of the basic quantities of the two body problem in order to be used in the analytical theories of the planetary motion. In addition, this paper includes the study of the minimization of the errors in the numerical integration by an appropriate choice of parameters in our selected family of anomalies for each value of the eccentricity.ca_CA
dc.description.sponsorShipThis research has been partially supported by Grant P1.1B2012-47 from University Jaume I of Castellón and Grant AICO/2015/037 from Generalitat Valenciana.ca_CA
dc.format.extent11 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isFormatOfGeometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem. Journal of Computational and Applied Mathematics, 2016.ca_CA
dc.relation.isPartOfJournal of Computational and Applied Mathematics, 2016ca_CA
dc.rightsCopyright © Elsevierca_CA
dc.subjectcelestial mechanicsca_CA
dc.subjectorbital motionca_CA
dc.subjectordinary differential equationsca_CA
dc.subjectcomputational algebraca_CA
dc.titleGeometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problemca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1016/j.cam.2016.02.041
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0377042716300978ca_CA


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