Existence of a Center Manifold in a Practical Domain around $L_1$ in the Restricted Three-Body Problem

DOI10.1137/100810381zbMath1235.37028arXiv1103.1970OpenAlexW2024812061MaRDI QIDQ5388662

Pablo Roldán, Maciej J. Capiński

Publication date: 19 April 2012

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1970

zbMATH Keywords

covering relationsnormal formsrestricted three-body problemcelestial mechanicscenter manifoldscone conditions

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Three-body problems (70F07) Invariant manifold theory for dynamical systems (37D10) Celestial mechanics (70F15) Invariant manifolds for ordinary differential equations (34C45) Dynamical systems in classical and celestial mechanics (37N05) Normal forms for nonlinear problems in mechanics (70K45)

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