000			03410nam a22005055i 4500
001			u373250
003			SIRSI
005			20160812084137.0
007			cr nn 008mamaa
008			100304s2010 gw | s |||| 0|eng d
020			_a9783540851462 _9978-3-540-85146-2
040			_cMX-MeUAM
050		4	_aQB495-500.269
082	0	4	_a520 _223
082	0	4	_a500.5 _223
100	1		_aCelletti, Alessandra. _eauthor.
245	1	0	_aStability and Chaos in Celestial Mechanics _h[recurso electrónico] / _cby Alessandra Celletti.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Praxis Books
505	0		_aOrder and chaos -- Numerical dynamical methods -- Kepler’s problem -- The three-body problem and the Lagrangian solutions -- Rotational dynamics -- Perturbation theory -- Invariant tori -- Long-time stability -- Determination of periodic orbits -- Regularization theory.
520			_aThe 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.
650		0	_aPhysics.
650		0	_aMathematical physics.
650		0	_aMechanics.
650		0	_aAstrophysics.
650	1	4	_aPhysics.
650	2	4	_aExtraterrestrial Physics, Space Sciences.
650	2	4	_aAstrophysics and Astroparticles.
650	2	4	_aMechanics.
650	2	4	_aStatistical Physics, Dynamical Systems and Complexity.
650	2	4	_aMathematical Methods in Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540851455
830		0	_aSpringer Praxis Books
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-540-85146-2
596			_a19
942			_cLIBRO_ELEC
999			_c201130 _d201130