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- catalog abstract "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.".
- catalog contributor b12182912.
- catalog created "2001.".
- catalog date "2001".
- catalog date "2001.".
- catalog dateCopyrighted "2001.".
- catalog description "2. Quantitative study of bifurcations.".
- catalog description "Includes bibliographical references (p. [301]) and index.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog extent "xii, 300 p. :".
- catalog identifier "3540417338 (alk. paper)".
- catalog isPartOf "Lecture notes in physics. Monographs, 0940-7677 ; m65".
- catalog isPartOf "Lecture notes in physics. New series m, Monographs ; m65.".
- catalog issued "2001".
- catalog issued "2001.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "521 21".
- catalog subject "Artificial satellites Orbits.".
- catalog subject "Astronomy.".
- catalog subject "Astrophysics.".
- catalog subject "Celestial mechanics.".
- catalog subject "Computer science Mathematics.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Engineering.".
- catalog subject "Physics.".
- catalog subject "QB362.T5 H463 2001".
- catalog subject "Three-body problem.".
- catalog tableOfContents "2. Quantitative study of bifurcations.".
- catalog title "Generating families in the restricted three-body problem : quantitative study of bifurcations / Michel Hénon.".
- catalog type "text".