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Derivative-free high-order methods applied to preliminary orbit determination

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Derivative-free high-order methods applied to preliminary orbit determination

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dc.contributor.author Chicharro López, Francisco Israel es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2015-10-19T09:53:33Z
dc.date.available 2015-10-19T09:53:33Z
dc.date.issued 2013-04
dc.identifier.issn 0895-7177
dc.identifier.uri http://hdl.handle.net/10251/56191
dc.description.abstract From position and velocity coordinates for several given instants, it is possible to determine the orbital elements of the preliminary orbit, taking only into account mutual gravitational attraction forces between the Earth and the satellite. Nevertheless, it should be refined with later observations from ground stations, whose geographic coordinates are previously known. Different methods developed for this purpose need to find a solution of a nonlinear function. In some classical methods it is usual to employ fixed point or secant methods. The second iterative scheme is often used when it is not possible to obtain the derivative of the nonlinear function. Nowadays, there exist efficient numerical methods that are able to highly improve the results obtained by the classical schemes. We will focus our attention on the method of iteration of the true anomaly, in which the secant method is replaced by more efficient methods, such as the second-order Steffensen's method, as well as other high-order derivative-free methods. (C) 2011 Elsevier Ltd. All rights reserved. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia PAID-06-2010-2285. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation Ministerio de Ciencia y Tecnología MTM2011-28636-C02-02 es_ES
dc.relation Vicerrectorado de Investigación, Universitat Politècnica de València PAID-06-2010-2285 es_ES
dc.relation.ispartof Mathematical and Computer Modelling es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Two-body problem es_ES
dc.subject Orbit determination es_ES
dc.subject Derivative-free es_ES
dc.subject Nonlinear equations es_ES
dc.subject Order of convergence es_ES
dc.subject Efficiency index es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Derivative-free high-order methods applied to preliminary orbit determination es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.mcm.2011.11.045
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Telecomunicación y Aplicaciones Multimedia - Institut Universitari de Telecomunicacions i Aplicacions Multimèdia es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Chicharro López, FI.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2013). Derivative-free high-order methods applied to preliminary orbit determination. Mathematical and Computer Modelling. 57(7-8):1795-1799. doi:10.1016/j.mcm.2011.11.045 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.mcm.2011.11.045 es_ES
dc.description.upvformatpinicio 1795 es_ES
dc.description.upvformatpfin 1799 es_ES
dc.type.version info:eu repo/semantics/publishedVersion es_ES
dc.description.volume 57 es_ES
dc.description.issue 7-8 es_ES
dc.relation.senia 233876 es_ES
dc.identifier.eissn 1872-9479


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