On the Long-term Evolution of Planetary Systems

On the Long-term Evolution of Planetary Systems PDF Author: Samuel Pfyffer
Publisher:
ISBN:
Category :
Languages : en
Pages : 243

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On the Long-term Evolution of Planetary Systems

On the Long-term Evolution of Planetary Systems PDF Author: Samuel Pfyffer
Publisher:
ISBN:
Category :
Languages : en
Pages : 243

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Long term evolution of planetary systems

Long term evolution of planetary systems PDF Author: R. Dvorak
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 420

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Long Term Evolution of Planetary Systems

Long Term Evolution of Planetary Systems PDF 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

Long-term Evolution and Stability of Planetary Systems

Long-term Evolution and Stability of Planetary Systems PDF Author: Mario Jurić
Publisher:
ISBN: 9780542894428
Category :
Languages : en
Pages : 280

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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.

Long Term Evolution of Planetary Systems

Long Term Evolution of Planetary Systems PDF Author: R. Dvorak
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 0

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Long Term Evolution of Planetary Systems

Long Term Evolution of Planetary Systems PDF Author: Morris S. Davis
Publisher:
ISBN:
Category :
Languages : en
Pages : 420

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Long Term Evolution of Planetary Systems

Long Term Evolution of Planetary Systems PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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A Comparison of the Dynamical Evolution of Planetary Systems

A Comparison of the Dynamical Evolution of Planetary Systems PDF Author: Rudolf Dvorak
Publisher: Springer Science & Business Media
ISBN: 1402044666
Category : Science
Languages : en
Pages : 300

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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.

Predictability, Stability, and Chaos in N-Body Dynamical Systems

Predictability, Stability, and Chaos in N-Body Dynamical Systems PDF Author: Archie E. Roy
Publisher: Springer Science & Business Media
ISBN: 146845997X
Category : Science
Languages : en
Pages : 581

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The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1990 under the title "Predictability, Stability, and Chaos in N-Body Dynamical Systems". The Institute was the latest in a series held at three-yearly inter vals from 1972 to 1987 in dynamical astronomy, theoretical mechanics and celestial mechanics. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received Proceedings. The 1990 Institute attracted 74 participants from 16 countries, six outside the NATO group. Fifteen series of lectures were given by invited speakers; additionally some 40 valuable presentations were made by the younger participants, most of which are included in these Proceedings. The last twenty years in particular has been a time of increasingly rapid progress in tackling long-standing and also newly-arising problems in dynamics of N-body systems, point-mass and non-point-mass, a rate of progress achieved because of correspondingly rapid developments of new computer hardware and software together with the advent of new analytical techniques. It was a time of exciting progress culminating in the ability to carry out research programmes into the evolution of the outer Solar 8 System over periods of more than 10 years and to study star cluster and galactic models in unprecedented detail.

Planetary Systems: Formation, Evolution, and Detection

Planetary Systems: Formation, Evolution, and Detection PDF Author: Bernard F. Burke
Publisher: Springer Science & Business Media
ISBN: 9401111545
Category : Science
Languages : en
Pages : 475

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Book Description
`Are there other planetary systems like ours? Other planets like ours? Is there life elsewhere in the Universe?' So asks Dr. Lew Allen Jr. in the Foreword. In December of 1992, theorists, observers, and instrument builders gathered at the California Institute of Technology to discuss the search for answers to these questions. The International Conference, entitled `Planetary Systems: Formation, Evolution, and Detection' and supported through NASA's newly formed TOPS (Toward Other Planetary Systems) program, was the first of a series of conferences uniting researchers across disciplines and political boundaries to share thoughts and information on planetary systems. The conference was sponsored by NASA, hosted by JPL at Caltech, and endorsed by the 1992 International Space Year Association. These proceedings include discussions of topics ranging from stellar, disk, and planetary formation to new ways of searching for other stellar systems containing planets. The authors represent a wide range of nationalities, disciplines, and points of view. The second international conference took place in December of 1993.