Title Generating Families in the Restricted Three-Body Problem Author(s) Henon, Michel Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 1997. Description XI, 280 p : online resource Abstract Note The classical restricted problem of three bodies is of fundamental importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case ISBN,Price 9783540696506 Keyword(s) 1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. COMPLEX SYSTEMS 4. Computational Mathematics and Numerical Analysis 5. Computer mathematics 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. Observations, Astronomical 10. SPACE SCIENCES 11. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I02396     On Shelf