Title Generating Families in the Restricted Three-Body Problem : II. Quantitative Study of Bifurcations Author(s) Henon, Michel Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 2001. Description XII, 304 p : online resource Abstract Note The classical restricted three-body problem is of fundamental importance because of its applications in 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 many have been computed numerically. This is the second volume of an attempt to explain and organize the material through a systematic study of generating families, the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. We use quantitative analysis in the vicinity of bifurcations of types 1 and 2. In most cases the junctions between branches can now be determined. A first-order approximation of families of periodic orbits in the vicinity of a bifurcation is also obtained. This book is intended for scientists and students interested in the restricted problem, in its applications to astronomy and space research, and in the theory of dynamical systems ISBN,Price 9783540447122 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 I10681     On Shelf