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Record Nr. |
UNINA9910257394003321 |
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Autore |
Henon Michel <1931-> |
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Titolo |
Generating Families in the Restricted Three-Body Problem / / by Michel Henon |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1997 |
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ISBN |
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Edizione |
[1st ed. 1997.] |
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Descrizione fisica |
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1 online resource (XI, 280 p.) |
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Collana |
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Lecture Notes in Physics Monographs ; ; 52 |
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Disciplina |
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Soggetti |
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Astronomy |
System theory |
Mathematics - Data processing |
Solar system |
Mathematical physics |
Astronomy, Observations and Techniques |
Complex Systems |
Computational Mathematics and Numerical Analysis |
Space Physics |
Theoretical, Mathematical and Computational Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Definitions and Properties -- Generating Orbits of the First Species -- Generating Orbits of the Second Species -- Generating Orbits of the Third Species -- Bifurcation Orbits -- Junctions: Symmetry -- Junctions: Broucke’s Principle -- Fragments -- Generating Families. |
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Sommario/riassunto |
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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. |
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