Bifurcations of periodic solutions near triangular libration points in the three-body problem

DOI10.3103/S1066369X10060083zbMath1396.70013OpenAlexW2062198995MaRDI QIDQ1956634

O. N. Belikova, M. G. Yumagulov

Publication date: 23 September 2010

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x10060083

zbMATH Keywords

periodic solutionsthree-body problembifurcationasymptotic formulaslibration points

Mathematics Subject Classification ID

Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (1)

Basic bifurcation scenarios in neighborhoods of boundaries of stability regions of libration points in the three-body problem

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Parameter functionalization and its application to the problem of local bifurcations in dynamic systems
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