Multipliers of periodic Hill solutions in the theory of Moon motion and an averaging method

DOI10.3103/S0027132215040026zbMath1393.70038OpenAlexW2259613374MaRDI QIDQ891134

E. A. Kudryavtseva

Publication date: 16 November 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132215040026

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Orbital mechanics (70M20) Dynamical systems in classical and celestial mechanics (37N05)

Cites Work

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• Lagrangian submanifolds and Hamiltonian systems
• Generalization of geometric Poincaré theorem for small perturbations
• Periodic motions of a planetary system with double planets. Generalized Hill problem
• Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small ?>0
• Regularization of kepler's problem and the averaging method on a manifold

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