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Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem

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cris.lastimport.scopus2024-02-12T20:21:11Z
dc.abstract.enWe consider the situation when three heavy gravitational bodies form the Lagrange conÖguration rotating in a fixed plane and the fourth body of negligible mass moves in this plane. We present three cases of so-called libration points and we study their stability using linear approximation and the KAM theory. In some situations we prove the Lyapunov stability for generic values of some parameter of the problem.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorLigęza, Adam
dc.contributor.authorŻołądek, Henryk
dc.date.accessioned2024-01-25T18:43:28Z
dc.date.available2024-01-25T18:43:28Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.number4
dc.description.volume17
dc.identifier.doi10.20537/ND210402
dc.identifier.issn2658-5324
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/117654
dc.identifier.weblinkhttp://dx.doi.org/10.20537/nd210402
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofRussian Journal of Nonlinear Dynamics
dc.relation.pages369-390
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enLagrange configuration
dc.subject.enlibration point
dc.subject.enstability
dc.titleQualitative Analysis of Some Libration Points in the Restricted Four-body Problem
dc.typeJournalArticle
dspace.entity.typePublication