Thom, René Travaux de Moser sur la stabilité des mouvements périodiques. (French) Zbl 0132.19002 Sémin. Bourbaki 16 (1963/64), Exp. No. 264, 13 p. (1964). The author summarizes the well-known paper of J. Moser [Nachr. Akad. Wiss. Göttingen, II. Math.-Phys. Kl. 1962, 1–20 (1962; Zbl 0107.29301)] and related papers, on invariant curves of an area-preserving mapping and applies this work to the restricted three-body problem. Reviewer: W. R. Utz Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 37C75 Stability theory for smooth dynamical systems 37C27 Periodic orbits of vector fields and flows 70F07 Three-body problems Keywords:stability of periodic motions Citations:Zbl 0107.29301 PDFBibTeX XML Full Text: Numdam EuDML