Using neural networks for the derivation of runge-kutta-nystrom pairs for integration of orbits

dc.contributor.author	Τσίτουρας, Χαράλαμπος	el
dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.date.accessioned	2015-02-14T11:42:33Z
dc.date.available	2015-02-14T11:42:33Z
dc.date.issued	2015-02-14
dc.identifier.uri	http://hdl.handle.net/11400/6229
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://www.elsevier.com	en
dc.subject	Neural networks
dc.subject	Kepler problem
dc.subject	Νευρωνικά δίκτυα
dc.subject	Κέπλερ πρόβλημα
dc.title	Using neural networks for the derivation of runge-kutta-nystrom pairs for integration of orbits	en
heal.type	journalArticle
heal.classification	Physics
heal.classification	Mathematical physics
heal.classification	Φυσική
heal.classification	Μαθηματική φυσική
heal.classificationURI	http://skos.um.es/unescothes/C02994
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85082129
heal.classificationURI	N/A-Φυσική
heal.classificationURI	N/A-Μαθηματική φυσική
heal.keywordURI	http://zbw.eu/stw/descriptor/19808-6
heal.identifier.secondary	doi:10.1016/j.newast.2011.11.009
heal.language	en
heal.access	campus
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ηλεκτρονικών Μηχανικών Τ.Ε.	el
heal.publicationDate	2012
heal.bibliographicCitation	Tsitouras, Ch. and Famelis, I. (May 2012). Using neural networks for the derivation of runge-kutta-nystrom pairs for integration of orbits. New Astronomy . 17(4). Pp. 469-473. Elsevier Science Ltd: 2012. Available from: http://www.sciencedirect.com [Accessed 30/11/2011]	en
heal.abstract	In this paper we present Runge–Kutta–Nyström (RKN) pairs of orders 4(3) and 6(4). We choose a test orbit from the Kepler problem to integrate for a specific tolerance. Then we train the free parameters of the above RKN4(3) and RKN6(4) families to perform optimally. For that we form a neural network approach and minimize its objective function using a differential evolution optimization technique. Finally we observe that the produced pairs outperform standard pairs from the literature for Pleiades orbits and Kepler problem over a wide range of eccentricities and tolerances.	en
heal.publisher	Elsevier Science Ltd	en
heal.journalName	New Astronomy	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true