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dc.contributor.author | Arroyo Martínez, Víctor | es_ES |
dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.date.accessioned | 2015-10-19T09:41:13Z | |
dc.date.available | 2015-10-19T09:41:13Z | |
dc.date.issued | 2011-10 | |
dc.identifier.issn | 0895-7177 | |
dc.identifier.uri | http://hdl.handle.net/10251/56187 | |
dc.description.abstract | In this paper the problem of the determination of the preliminary orbit of a celestial body is studied. We compare the results obtained by the classical Gauss's method with those obtained by some higher-order iterative methods for solving nonlinear equations. The original problem of the determination of the preliminary orbits was posed by means of a nonlinear equation. We modify this equation in order to obtain a nonlinear system which describes the mentioned problem and we derive a new efficient iterative method for solving it. We also propose a new definition of optimal order of convergence for iterative methods for solving nonlinear systems. © 2010 Elsevier Ltd. | es_ES |
dc.description.sponsorship | Supported by Ministerio de Ciencia y Tecnologia MTM2010-18539. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Mathematical and Computer Modelling | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Efficiency index | es_ES |
dc.subject | Gauss's method | es_ES |
dc.subject | Nonlinear systems | es_ES |
dc.subject | Orbit determination | es_ES |
dc.subject | Order of convergence | es_ES |
dc.subject | Celestial bodies | es_ES |
dc.subject | Higher order | es_ES |
dc.subject | Optimal order of convergence | es_ES |
dc.subject | Iterative methods | es_ES |
dc.subject | Orbits | es_ES |
dc.subject | Nonlinear equations | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Approximation of artificial satellites' preliminary orbits: the efficiency challenge | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.mcm.2010.11.063 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2010-18539/ES/DISEÑO, ANALISIS Y OPTIMIZACION DE METODOS DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES. APLICACIONES A PROBLEMAS DE VALOR INICIAL Y FLUJO OPTICO/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Arroyo Martínez, V.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2011). Approximation of artificial satellites' preliminary orbits: the efficiency challenge. Mathematical and Computer Modelling. 54(7-8):1802-1807. https://doi.org/10.1016/j.mcm.2010.11.063 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.mcm.2010.11.063 | es_ES |
dc.description.upvformatpinicio | 1802 | es_ES |
dc.description.upvformatpfin | 1807 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 54 | es_ES |
dc.description.issue | 7-8 | es_ES |
dc.relation.senia | 215653 | es_ES |
dc.identifier.eissn | 1872-9479 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |