Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites

Lara, Martín; Palacián Subiela, Jesús Francisco

Publication:
Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites

dc.contributor.author	Lara, Martín
dc.contributor.author	Palacián Subiela, Jesús Francisco
dc.contributor.department	Ingeniería Matemática e Informática	es_ES
dc.contributor.department	Matematika eta Informatika Ingeniaritza	eu
dc.date.accessioned	2014-06-04T08:02:16Z
dc.date.available	2014-06-04T08:02:16Z
dc.date.issued	2009
dc.description	Parte de este trabajo ha sido presentado en el 20th International Symposium on Space Flight Dynamics, Annapolis, Maryland, USA, 24–28 de septiembre de 2007.	es_ES
dc.description.abstract	Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions of corresponding quasi-periodic solutions in the nonaveraged problem are computed straightforwardly. Moreover, the method provides the explicit equations of the transformation that connects the averaged and nonaveraged models. A fourth-order analytical theory is necessary for the accurate computation of quasi-periodic frozen orbits.	en
dc.description.sponsorship	This work was supported from Projects ESP 2007-64068 the first author and MTM 2008-03818 the second author of the Ministry of Science and Innovation of Spain is acknowledged.	en
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1155/2009/753653
dc.identifier.issn	1024-123X
dc.identifier.other	712
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/10710
dc.language.iso	eng	en
dc.publisher	Hindawi Publishing Corporation	en
dc.relation.ispartof	Mathematical Problems in Engineering, 2009. Article ID 753653, 18 pgs.	es
dc.relation.publisherversion	https://dx.doi.org/10.1155/2009/753653
dc.rights	© 2009 Martin Lara and Jesús F. Palacián. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/
dc.subject	Science orbits	en
dc.subject	Asteroids	en
dc.subject	Perturbations	en
dc.subject	Dynamics	en
dc.title	Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites	en
dc.type	info:eu-repo/semantics/article
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dspace.entity.type	Publication
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