A study of the errors of the averaged models in the restricted three-body problem in a short time scale

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dc.contributor.authorDomingos, Rita de Cássia [UNESP]
dc.contributor.authorPrado, Antonio Fernando Bertachini de Almeida
dc.contributor.authorMoraes, Rodolpho Vilhena de
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInstituto Nacional de Pesquisas Espaciais (INPE)
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
dc.date.accessioned2015-10-22T07:11:12Z
dc.date.available2015-10-22T07:11:12Z
dc.date.issued2015-07-01
dc.description.abstractThe objective of the present research is to study the accuracy of the double- and single-averaged models that are usually considered to predict the motion of spacecrafts or celestial bodies that have their motion perturbed by a third-body. Those two models are compared with each other and then validated against the complete elliptic restricted three-body problem. Those models are developed to give a faster but general behaviour of the motion of the perturbed body in a medium or longer time scale. The researches performed here verify the accuracy of those methods for shorter time scales by showing the differences in terms of the values of the inclination and eccentricity of the perturbed body predicted by those models. Those differences are calculated both at every instant of time and as an integral over the time. The use of the integral along the time for the errors is a new form to study those differences and show a more complete comparison of the accuracy of those approximations, completing the instantaneous picture given by the usual approach of looking at the instantaneous measurement. If the value of the integral is divided by the time integration, the mean error is obtained. The results show that the single-averaged model is better in the short time scale and the difference among those models is smaller when predicting the eccentricity than the inclination. The effects of the time scale is verified by varying the study to values from 2 days up to 50 revolutions of the Moon (1,366 days). Another important point found in the present paper is the range of the eccentricities of the perturbing body that accelerates the dynamics.en
dc.description.affiliationInstituto Nacional de Pesquisas Espaciais, BR-12201 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUniversidade Federal São Paulo, UNIFESP, São José dos Campos, SP, Brazil
dc.description.affiliationUnespUniversidade Estadual Paulista, UNESP, São João da Boa Vista, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdCNPq: 473387/2012-3
dc.description.sponsorshipIdCNPq: 150195/2012-5
dc.description.sponsorshipIdCNPq: 304700/2009-6
dc.description.sponsorshipIdFAPESP: 2011/09310-7
dc.description.sponsorshipIdFAPESP: 2012/21023-6
dc.description.sponsorshipIdFAPESP: 2011/08171-3
dc.format.extent507-520
dc.identifierhttp://link.springer.com/article/10.1007%2Fs40314-014-0148-5
dc.identifier.citationComputational and Applied Mathematics. Heidelberg: Springer Heidelberg, v. 34, n. 2, p. 507-520, 2015.
dc.identifier.doi10.1007/s40314-014-0148-5
dc.identifier.issn0101-8205
dc.identifier.lattes6652169083464327
dc.identifier.orcid0000-0002-0516-0420
dc.identifier.orcid0000-0003-1289-8332
dc.identifier.urihttp://hdl.handle.net/11449/129803
dc.identifier.wosWOS:000357267300008
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofComputational and Applied Mathematics
dc.relation.ispartofjcr0.863
dc.relation.ispartofsjr0,272
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectAveraged modelsen
dc.subjectIntegral approachen
dc.subjectCelestial mechanicsen
dc.titleA study of the errors of the averaged models in the restricted three-body problem in a short time scaleen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.author.lattes7740917144757410[3]
unesp.author.lattes6652169083464327[1]
unesp.author.orcid0000-0002-7966-3231[2]
unesp.author.orcid0000-0002-0516-0420[1]
unesp.author.orcid0000-0003-1289-8332[3]
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, São João da Boa Vistapt

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