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Author: R. Dvorak
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 420
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Author: R. Dvorak
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 420
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Author: Samuel Pfyffer
Publisher:
ISBN:
Category :
Languages : en
Pages : 243
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Author: Rudolf Dvorak
Publisher: Springer Science & Business Media
ISBN: 940092285X
Category : Science
Languages : en
Pages : 420
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Proceedings of the Alexander von Humboldt Colloquium on Celestial Mechanics held in Ramsau, Austria, March 13-19, 1988
Author: Mario Jurić
Publisher:
ISBN: 9780542894428
Category :
Languages : en
Pages : 280
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Book Description
This dissertation studies the dynamical evolution and stability of planetary systems over long time spans (108-109 years). I investigated the dynamical evolution of few-planet systems by simulating ensembles of systems consisting of hundreds to thousands of randomly constructed members. I looked at ways to classify the systems according to their dynamical activity, and found the median Hill separation of an ensemble to be a sufficiently good criterion for separation into active (those exhibiting frequent planetary close encounters, collisions or ejections) and inactive ensembles. I examined the evolution of dynamical parameters in active systems. I found that in ensembles of dynamically active (initially unstable) systems the eccentricity distribution evolves towards the same equilibrium form, irrespective of the distribution it began with. Furthermore, this equilibrium distribution is indistinguishable, within observational errors, from the distribution found in extrasolar planets. This is to my knowledge the first successful detailed theoretical reproduction of the form of observed exoplanet eccentricity distribution. I further looked for quantities that can be used as indicators of long-term stability of planetary systems, specifically the angular momentum deficit (AMD) as originally proposed by Laskar. I found that the quantity Q, defined as the ratio of minimum AMD required for a planetary collision to occur in secular theory and the total AMD of the system, may be used to predict the likelihood of decay of a planetary system. Qualitatively, the decay in systems having Q ≪ 1 is highly probable, while systems with Q ≫ 1 were found to be stable. To conduct the above investigations, I developed a new integrator package (VENUS), and the HYBRID/EE integration scheme designed for nearly-symplectic long-term integrations. VENUS implements integration algorithms for few-body planetary system integrations, with special attention paid to support for robust, unattended simulations of large ensembles of systems on Beowulf and Condor clusters. To increase the integration speed, I developed techniques leveraging SIMD instruction sets existing on recent x86 CPUs to speed up the calculations of N-body force loops. I showed that by using SIMD instructions, a nearly two-fold increase in performance is attainable without sacrificing either code portability or clarity.
Author: R. Dvorak
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 0
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Author: Morris S. Davis
Publisher:
ISBN:
Category :
Languages : en
Pages : 420
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Rudolf Dvorak
Publisher: Springer Science & Business Media
ISBN: 1402044666
Category : Science
Languages : en
Pages : 300
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Book Description
The papers in this volume cover a wide range of subjects covering the most recent developments in Celestial Mechanics from the theoretical point of nonlinear dynamical systems to the application to real problems. We emphasize the papers on the formation of planetary systems, their stability and also the problem of habitable zones in extrasolar planetary systems. A special topic is the stability of Trojans in our planetary system, where more and more realistic dynamical models are used to explain their complex motions: besides the important contribution from the theoretical point of view, the results of several numerical experiments unraveled the structure of the stable zone around the librations points. This volume will be of interest to astronomers and mathematicians interested in Hamiltonian mechanics and in the dynamics of planetary systems.
Author: Sylvio Ferraz-Mello
Publisher: Springer Science & Business Media
ISBN: 9780792317821
Category : Science
Languages : en
Pages : 432
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Book Description
This symposium was devoted to a new celestial mechanics whose aim has become the study of such `objects' as the planetary system, planetary rings, the asteroidal belt, meteor swarms, satellite systems, comet families, the zodiacal cloud, the preplanetary nebula, etc. When the three-body problem is considered instead of individual orbits we are, now, looking for the topology of extended regions of its phase space. This Symposium was one step in the effort to close the ties between two scientific families: the observationally-oriented scientists and the theoretically-oriented scientists.
Author: Henrik Beuther
Publisher: University of Arizona Press
ISBN: 0816598762
Category : Science
Languages : en
Pages : 945
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Book Description
The revolutionary discovery of thousands of confirmed and candidate planets beyond the solar system brings forth the most fundamental question: How do planets and their host stars form and evolve? Protostars and Planets VI brings together more than 250 contributing authors at the forefront of their field, conveying the latest results in this research area and establishing a new foundation for advancing our understanding of stellar and planetary formation. Continuing the tradition of the Protostars and Planets series, this latest volume uniquely integrates the cross-disciplinary aspects of this broad field. Covering an extremely wide range of scales, from the formation of large clouds in our Milky Way galaxy down to small chondrules in our solar system, Protostars and Planets VI takes an encompassing view with the goal of not only highlighting what we know but, most importantly, emphasizing the frontiers of what we do not know. As a vehicle for propelling forward new discoveries on stars, planets, and their origins, this latest volume in the Space Science Series is an indispensable resource for both current scientists and new students in astronomy, astrophysics, planetary science, and the study of meteorites.