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Approximation of artificial satellites' preliminary orbits: the efficiency challenge

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Approximation of artificial satellites' preliminary orbits: the efficiency challenge

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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


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