Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem

Using analytic continuation of periodic orbits and symmetries we construct symmetric periodic solutions in the charged collinear three-body problem for the case where the outer particles are sufficiently small and have small charge. The results obtained allows to construct Schubart-like periodic sol...

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Bibliographic Details
Published inQualitative theory of dynamical systems Vol. 13; no. 2; pp. 181 - 196
Main Authors Castro Ortega, Alberto, Falconi, Manuel, Lacomba, Ernesto A.
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.10.2014
Subjects
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Schubart orbits
Continuation method
Symmetries
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Summary:Using analytic continuation of periodic orbits and symmetries we construct symmetric periodic solutions in the charged collinear three-body problem for the case where the outer particles are sufficiently small and have small charge. The results obtained allows to construct Schubart-like periodic solutions for different values of masses and charges in this setting and for the case of equal masses and charges of the outer bodies we have explicit Schubart periodic solutions.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-014-0112-1