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Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: This overview of classical celestial mechanics focuses the interplay with dynamical systems. Paradigmatic models introduce key concepts - order, chaos, invariant curves and cantori - followed by the investigation of dynamical systems with numerical methods. Buchnummer des Verkäufers

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Inhaltsangabe: The last decades have marked the beginning of a new era in Celestial Mech- ics. The challenges came from several di?erent directions. The stability theory of nearly?integrable systems (a class of problems which includes many models of - lestial Mechanics) pro?ted from the breakthrough represented by the Kolmogorov? Arnold?Moser theory, which also provides tools for determining explicitly the - rameter values allowing for stability. A con?nement of the actions for exponential times was guaranteed by Nekhoroshev?s theorem, which gives much information about the geography of the resonances. Performing ever-faster computer simu- tionsallowedustohavedeeperinsightsintomanyquestionsofDynamicalSystems, most notably chaos theory. In this context several techniques have been developed to distinguish between ordered and chaotic behaviors. Modern tools for computing spacecraft trajectories made possible the realization of many space missions, es- cially the interplanetary tours, which gave a new shape to the solar system with a lot of new satellites and small bodies. Finally, the improvement of observational techniques allowed us to make two revolutions in the sky: the solar system does not end with Pluto, but it extends to the Kuiper belt, and the solar system is not unique, but the universe has plenty of extrasolar planetary systems. Cookingalltheseingredientstogetherwiththeclassicaltheoriesdevelopedfrom the 17th to the 19th centuries, one obtains themodern Celestial Mechanics.

Inhaltsangabe:

This book presents classical celestial mechanics and its interplay with dynamical systems in a way suitable for advance level undergraduate students as well as postgraduate students and researchers. First paradigmatic models are used to introduce the reader to the concepts of order, chaos, invariant curves, cantori. Next the main numerical methods to investigate a dynamical system are presented. Then the author reviews the classical two-body problem and proceeds to explore the three-body model in order to investigate orbital resonances and Lagrange solutions. In rotational dynamics the author details the derivation of the rigid body motion, and continues by discussing related topics, from spin-orbit resonances to dumbbell satellite dynamics.

Perturbation theory is then explored in full detail including practical examples of its application to finding periodic orbits, computation of the libration in longitude of the Moon. The main ideas of KAM theory are provided including a presentation of long-term stability and converse KAM results. Celletti then explains the implementation of computer-assisted techniques, which allow the user to obtain rigorous results in good agreement with the astronomical expectations. Finally the study of collisions in the solar system is approached.

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CELLETTI
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ISBN 10: 3540851453 ISBN 13: 9783540851455
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Buchbeschreibung SPRINGER, 2010. Hardcover. Buchzustand: New. Zustand des Schutzumschlags: New. BRAND NEW, ORIGINAL US EDITION, CUSTOMER SATISFACTION IS OUR FIRST PRIORITY, SHIPS TO US, CANADA, UK, GERMANY, SOUTH KOREA, AUSTRALIA, JAPAN, CHINA, ITALY, FRANCE BY DHL AND DELIVERED IN 3-5 DAYS. Buchnummer des Verkäufers SPR-205

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Buchbeschreibung Springer Verlag, 2009. Hardcover. Buchzustand: New. New Condition. SKU:9783540851455-1-0-3. Buchnummer des Verkäufers 9783540851455-1-0-3

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Buchbeschreibung Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2009-11-25, Berlin, 2009. hardback. Buchzustand: New. Buchnummer des Verkäufers 9783540851455

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Buchbeschreibung Springer-Verlag Gmbh Nov 2009, 2009. Buch. Buchzustand: Neu. 235x155x20 mm. Neuware - The last decades have marked the beginning of a new era in Celestial Mech- ics. The challenges came from several di erent directions. The stability theory of nearly integrable systems (a class of problems which includes many models of - lestial Mechanics) pro ted from the breakthrough represented by the Kolmogorov Arnold Moser theory, which also provides tools for determining explicitly the - rameter values allowing for stability. A con nement of the actions for exponential times was guaranteed by Nekhoroshev s theorem, which gives much information about the geography of the resonances. Performing ever-faster computer simu- tionsallowedustohavedeeperinsightsintomanyquestionsofDynamicalSystems, most notably chaos theory. In this context several techniques have been developed to distinguish between ordered and chaotic behaviors. Modern tools for computing spacecraft trajectories made possible the realization of many space missions, es- cially the interplanetary tours, which gave a new shape to the solar system with a lot of new satellites and small bodies. Finally, the improvement of observational techniques allowed us to make two revolutions in the sky: the solar system does not end with Pluto, but it extends to the Kuiper belt, and the solar system is not unique, but the universe has plenty of extrasolar planetary systems. Cookingalltheseingredientstogetherwiththeclassicaltheoriesdevelopedfrom the 17th to the 19th centuries, one obtains themodern Celestial Mechanics. 261 pp. Englisch. Buchnummer des Verkäufers 9783540851455

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Buchbeschreibung Springer-Verlag Gmbh Nov 2009, 2009. Buch. Buchzustand: Neu. 235x155x20 mm. Neuware - The last decades have marked the beginning of a new era in Celestial Mech- ics. The challenges came from several di erent directions. The stability theory of nearly integrable systems (a class of problems which includes many models of - lestial Mechanics) pro ted from the breakthrough represented by the Kolmogorov Arnold Moser theory, which also provides tools for determining explicitly the - rameter values allowing for stability. A con nement of the actions for exponential times was guaranteed by Nekhoroshev s theorem, which gives much information about the geography of the resonances. Performing ever-faster computer simu- tionsallowedustohavedeeperinsightsintomanyquestionsofDynamicalSystems, most notably chaos theory. In this context several techniques have been developed to distinguish between ordered and chaotic behaviors. Modern tools for computing spacecraft trajectories made possible the realization of many space missions, es- cially the interplanetary tours, which gave a new shape to the solar system with a lot of new satellites and small bodies. Finally, the improvement of observational techniques allowed us to make two revolutions in the sky: the solar system does not end with Pluto, but it extends to the Kuiper belt, and the solar system is not unique, but the universe has plenty of extrasolar planetary systems. Cookingalltheseingredientstogetherwiththeclassicaltheoriesdevelopedfrom the 17th to the 19th centuries, one obtains themodern Celestial Mechanics. 261 pp. Englisch. Buchnummer des Verkäufers 9783540851455

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Buchbeschreibung Springer-Verlag Gmbh Nov 2009, 2009. Buch. Buchzustand: Neu. 235x155x20 mm. Neuware - The last decades have marked the beginning of a new era in Celestial Mech- ics. The challenges came from several di erent directions. The stability theory of nearly integrable systems (a class of problems which includes many models of - lestial Mechanics) pro ted from the breakthrough represented by the Kolmogorov Arnold Moser theory, which also provides tools for determining explicitly the - rameter values allowing for stability. A con nement of the actions for exponential times was guaranteed by Nekhoroshev s theorem, which gives much information about the geography of the resonances. Performing ever-faster computer simu- tionsallowedustohavedeeperinsightsintomanyquestionsofDynamicalSystems, most notably chaos theory. In this context several techniques have been developed to distinguish between ordered and chaotic behaviors. Modern tools for computing spacecraft trajectories made possible the realization of many space missions, es- cially the interplanetary tours, which gave a new shape to the solar system with a lot of new satellites and small bodies. Finally, the improvement of observational techniques allowed us to make two revolutions in the sky: the solar system does not end with Pluto, but it extends to the Kuiper belt, and the solar system is not unique, but the universe has plenty of extrasolar planetary systems. Cookingalltheseingredientstogetherwiththeclassicaltheoriesdevelopedfrom the 17th to the 19th centuries, one obtains themodern Celestial Mechanics. 261 pp. Englisch. Buchnummer des Verkäufers 9783540851455

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Buchbeschreibung Springer-Verlag Gmbh Nov 2009, 2009. Buch. Buchzustand: Neu. 235x155x20 mm. Neuware - The last decades have marked the beginning of a new era in Celestial Mech- ics. The challenges came from several di erent directions. The stability theory of nearly integrable systems (a class of problems which includes many models of - lestial Mechanics) pro ted from the breakthrough represented by the Kolmogorov Arnold Moser theory, which also provides tools for determining explicitly the - rameter values allowing for stability. A con nement of the actions for exponential times was guaranteed by Nekhoroshev s theorem, which gives much information about the geography of the resonances. Performing ever-faster computer simu- tionsallowedustohavedeeperinsightsintomanyquestionsofDynamicalSystems, most notably chaos theory. In this context several techniques have been developed to distinguish between ordered and chaotic behaviors. Modern tools for computing spacecraft trajectories made possible the realization of many space missions, es- cially the interplanetary tours, which gave a new shape to the solar system with a lot of new satellites and small bodies. Finally, the improvement of observational techniques allowed us to make two revolutions in the sky: the solar system does not end with Pluto, but it extends to the Kuiper belt, and the solar system is not unique, but the universe has plenty of extrasolar planetary systems. Cookingalltheseingredientstogetherwiththeclassicaltheoriesdevelopedfrom the 17th to the 19th centuries, one obtains themodern Celestial Mechanics. 261 pp. Englisch. Buchnummer des Verkäufers 9783540851455

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Buchbeschreibung Springer, 2009. Buchzustand: New. Buchnummer des Verkäufers L9783540851455

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Buchbeschreibung Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2009. HRD. Buchzustand: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Buchnummer des Verkäufers IB-9783540851455

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Buchbeschreibung Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2009. HRD. Buchzustand: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Buchnummer des Verkäufers IB-9783540851455

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