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Stability and Chaos in Celestial Mechanics (Paperback, 2010 ed.)
Loot Price: R3,780
Discovery Miles 37 800
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Stability and Chaos in Celestial Mechanics (Paperback, 2010 ed.)
Series: Astronomy and Planetary Sciences
Expected to ship within 10 - 15 working days
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Total price: R3,800
Discovery Miles: 38 000
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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.
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