Download or read book Topics in Gravitational Dynamics written by Daniel Benest and published by Springer. This book was released on 2007-12-14 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the possibility to study many new extra-solar planetary systems have spurred new developments in the field and enabled the testing and enlargement of the domains of validity of theoretical predictions through the Nekhoroshev theorem.
Download or read book At the Frontiers of Chaotic Dynamics of Gravitational Systems written by Daniel Benest and published by . This book was released on 1999 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gravitational Dynamics written by Ofer Lahav and published by Cambridge University Press. This book was released on 1996-07-13 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gravity plays a central role in the dynamics of all astrophysical systems - from stars to the Universe as a whole. This timely volume examines all aspects of gravitational dynamics - from stellar systems and galaxy disks, to the dynamics of the Local Group, large scale structures and motions, galaxy formation and general relativity. Each chapter is written by a world expert renowned for original contributions to the field. The authors are: James Binney, Roger Blandford, David Burstein, Tim de Zeeuw, George Efstathiou, Steve Gull, Nick Kaiser, J. Katz, Donald Lynden-Bell, Ruth Lynden-Bell, Douglas Lin, Jeremiah Ostriker, T. Padmanabhan, J. Papaloizou, Jim Peebles, Jim Pringle, Martin Rees, Maarteen Schmidt, Scott Tremaine and Simon White. This volume provides a broad, pedagogical introduction to gravitational dynamics for graduate students, and an up-to-date review for researchers in cosmology, astrophysics, mathematical physics and applied mathematics.
Download or read book The Restless Universe Applications of Gravitational N Body Dynamics to Planetary Stellar and Galactic Systems written by Bonnie Steves and published by CRC Press. This book was released on 2019-05-07 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems stimulates the cross-fertilization of ideas, methods, and applications among the different communities who work in the gravitational N-body problem arena, across diverse fields of astrophysics. The chapters and topics cover three broad the
Download or read book Topics in Gravitational Dynamics written by Daniel Benest and published by Springer Science & Business Media. This book was released on 2008-01-02 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the possibility to study many new extra-solar planetary systems have spurred new developments in the field and enabled the testing and enlargement of the domains of validity of theoretical predictions through the Nekhoroshev theorem.
Download or read book Gravity written by Eric Poisson and published by Cambridge University Press. This book was released on 2014-05-29 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique graduate textbook that develops powerful approximation methods and their applications to real-life astrophysical systems.
Download or read book Topics in Gravitational Dynamics written by Daniel Benest and published by Springer. This book was released on 2009-09-02 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the possibility to study many new extra-solar planetary systems have spurred new developments in the field and enabled the testing and enlargement of the domains of validity of theoretical predictions through the Nekhoroshev theorem.
Download or read book Dynamics of Gravitational Systems written by Kap-Soo Oh and published by . This book was released on 1989 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singularities in Gravitational Systems written by Daniel Benest and published by Springer. This book was released on 2008-01-11 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics. The present set of lectures introduces the mathematical methods used in the theory of singularities in gravitational systems, reviews modeling techniques for the simulation of close encounters and presents the state of the art about the study of diffusion of comets, wandering asteroids, meteors and planetary ring particles. The book will be of use to researchers and graduate students alike.
Download or read book Introduction to Stellar Dynamics written by Luca Ciotti and published by Cambridge University Press. This book was released on 2021-06-10 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough presentation of the fundamental concepts of stellar dynamics that bridges the gap between standard texts and advanced treatises.
Download or read book Three Body Dynamics in Dense Gravitational Systems written by Kenneth Moody and published by . This book was released on 2009 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three body dynamics are of particular interest in clusters where the density of stars provides many opportunities for interactions. Globular clusters, which have had densities of tens to hundreds of thousands of stars per cubic parsec for billions of years, are the ideal laboratory for studying dynamics in systems which at best have solutions in only the mathematical sense of the word. Modelling these systems in a realistic way which includes all stars individually represented, with their evolution and inclusion into a comparable number of binaries as is seen in observed clusters, has driven computer hardware and software for decades (Heggie & Hut 2003). In this thesis, I have used several techniques to answer the following questions: How many black hole binaries will a cluster produce, and will they have the required properties to be seen by our gravitational wave detectors? How often does the crowded environment of star forming cluster allow the exchange of a planet between stars? To answer these questions, I have studied three scenarios: the interaction of black holes in clusters, the effect of the Kozai mechanism on pulsars in clusters, and the effect of an exchanged planetary body on a planetary system. I have examined the interactions of a system of black holes in a globular cluster in which the black holes have different masses with a more realistic distribution. This is an advance over previous studies which assumed that all black holes have the same mass, and as such when interacting tended to eject all but one or two from the cluster. The previous paradigm for black holes was that all black holes were 10 solar masses. In my thesis, black hole masses are derived from population synthesis models and span a range of a few up to 50 or 80 M [solar mass] depending on metallicity. My new calculations have reduced the efficiency of three-body interactions in ejecting the binary due to their non-equal masses. I also use timescales derived from earlier simulations of clusters (Sigurdsson 1995) to determine the end state of individual binaries interacting with single black holes. While N-body simulations of black hole systems such as in O'Leary et al. (2006) are less model dependent, my method can easily adapt to advances in the understanding of the processes that make black holes and rapidly produce results on rates of binary black hole mergers for gravitational wave observations and the possibilities of intermediate mass black hole seeds. Numerous black hole binaries are produced by clusters, they are hardened in the potential of the cluster, and the most massive black holes survive the interactions. Interactions with the other black holes preferentially produce binaries with higher eccentricities. I found that as many as one in seven binaries will coalesce within a Hubble time, and with the strength of signal that their higher mass gives they would rival galactic black hole binaries as a background source. Compare this to the more pessimistic forecast in Kulkarni et al. (1993) that they would not be a significant background source. I also found that the binaries are ejected from the cluster with, for the most part, a velocity just above the escape speed of the cluster which is a few tens of km/sec. These gravitational wave sources are thus constrained in their host galaxies as the galactic escape velocity is some hundreds of km/sec which only a very few binaries achieve in special cases (i.e. originally forming as a tight binary, their first three-body interaction liberates a large amount of kinetic energy). It is therefore fitting to perhaps take a census of galaxies and their clusters within the radius the binaries would be visible to LIGO to estimate the how many sources could be seen, especially considering the first extra-galactic black hole in a globular cluster being recently discovered (Maccarone et al. 07). I studied the effect of the Kozai mechanism on two pulsars, one in the globular cluster M4, and the other J1903+0327. The M4 pulsar pulsar was found to have an unusually large orbital eccentricity, given that it is in a binary with a period of nearly 200 days. This unusual behavior led to the conclusion that a planet-like third body of much less than a solar mass was orbiting the binary. Dynamical exchanges can deposit the planet in a highly inclined orbit, which can lead to eccentricity pumping by the Kozai effect. The Kozai effect requires a minimum inclination of the two orbits of about 40 degrees. I used my own code to integrate the secular evolution equations with a broad set of initial conditions to determine the first detailed properties of the third body; namely that the mass of the planet is about that of Jupiter. The second pulsar J1903+0327 consists of a 2.15ms pulsar and a near solar mass companion in an e = 0.44 orbit. A preliminary study of this pulsar showed that the high eccentricity can be reproduced by my models, and there are three candidate clusters from which this pulsar could have originated. My third project was a study of the effect of a planet at 50 AU on the inner solar system. The origin of this planet is assumed to be from an exchange with another solar system in the early stages of the sun's life while it was still in the dense star forming region where it was born. Similar studies have been done with the exchange of stars among binaries by Malmberg et al. (2007b). The exchange once again allows the Kozai effect to bring about drastic change in the inner system. A planet is chosen as the outer object as, unlike a stellar companion, it would remain unseen by current radial velocity and direct observation methods, although it could be detected by upcoming astrometric missions. My study uses an outer body from the size of a super Earth to a brown dwarf, in various inclinations, and exerting its influence on an inner object modelled on the Earth or Jupiter. The 50 AU size of the outer orbit corresponds with the sharp drop off in Kuiper Belt objects. This result represents the first step in a much larger project to fully explore the parameter space. I found that the size of the outer orbit drastically affects the eccentricity obtained by the inner object due to the beating of the Kozai and general relativistic precessions. I also found that four-body calculation are needed for a full understanding of how the change in the outer native object's eccentricity is propagated to the inner native object, native planets being those which are formed along with their host star. Simulations of young dense star forming clusters should illustrate how planetary sized objects are exchanged between stars. I explored the dynamics of exchanges between objects and the workings of the Kozai mechanism in my first two projects. These tools prepared me for work on a crucial issue in planet formation, that of how a peculiar subset of observed planets were formed. I have shown that exchanges and the Kozai mechanism can work together to produce the observed eccentricities of exoplanets. This is a new approach to the study of the dynamics of planet formation.
Download or read book The Restless Universe Applications of Gravitational N body Dynamics to Planetary Stellar and Galactic Systems written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics of the Earth and the Solar System written by B. Bertotti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: ".....The book is a very good balance between theory and applications, of analysis and synthesis, keeping always the focus on the comprehension of the physics ruling our planetary system. In summary, this represents both an excellent textbook for students and a fundamental reference, and encyclopedic summary current knowledge, for researchers in the Solar System field." (Alessandro Rossi, Celestial Mechanics and Dynamical Astronomy, 2005)
Download or read book Fundamentals of Galaxy Dynamics Formation and Evolution written by Ignacio Ferreras and published by UCL Press. This book was released on 2019-04-02 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galaxies, along with their underlying dark matter halos, constitute the building blocks of structure in the Universe. Of all fundamental forces, gravity is the dominant one that drives the evolution of structures from small density seeds at early times to the galaxies we see today. The interactions among myriads of stars, or dark matter particles, in a gravitating structure produce a system with fascinating connotations to thermodynamics, with some analogies and some fundamental differences. Ignacio Ferreras presents a concise introduction to extragalactic astrophysics, with emphasis on stellar dynamics, and the growth of density fluctuations in an expanding Universe. Additional chapters are devoted to smaller systems (stellar clusters) and larger ones (galaxy clusters). Fundamentals of Galaxy Dynamics, Formation and Evolution is written for advanced undergraduates and beginning postgraduate students, providing a useful tool to get up to speed in a starting research career. Some of the derivations for the most important results are presented in detail to enable students appreciate the beauty of maths as a tool to understand the workings of galaxies. Each chapter includes a set of problems to help the student advance with the material.
Download or read book The Restless Universe Applications of Gravitational N Body Dynamics to Planetary Stellar and Galactic Systems written by Bonnie Steves and published by CRC Press. This book was released on 2001-09-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems stimulates the cross-fertilization of ideas, methods, and applications among the different communities who work in the gravitational N-body problem arena, across diverse fields of astrophysics. The chapters and topics cover three broad themes: the dynamics of the solar system, the dynamics of galaxies and star clusters, and the large scale structure of the universe. The book is essential reading for scientists and graduate students studying N-body dynamics, from the fundamental techniques to the cutting edge of modern research in planetary, stellar, and galactic systems.
Download or read book Gravitational Few Body Dynamics written by Seppo Mikkola and published by Cambridge University Press. This book was released on 2020-04-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using numerical integration, it is possible to predict the individual motions of a group of a few celestial objects interacting with each other gravitationally. In this introduction to the few-body problem, a key figure in developing more efficient methods over the past few decades summarizes and explains them, covering both basic analytical formulations and numerical methods. The mathematics required for celestial mechanics and stellar dynamics is explained, starting with two-body motion and progressing through classical methods for planetary system dynamics. This first part of the book can be used as a short course on celestial mechanics. The second part develops the contemporary methods for which the author is renowned - symplectic integration and various methods of regularization. This volume explains the methodology of the subject for graduate students and researchers in celestial mechanics and astronomical dynamics with an interest in few-body dynamics and the regularization of the equations of motion.
Download or read book Gravitational Wave Physics and Astronomy written by Jolien D. E. Creighton and published by John Wiley & Sons. This book was released on 2012-01-09 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This most up-to-date, one-stop reference combines coverage of both theory and observational techniques, with introductory sections to bring all readers up to the same level. Written by outstanding researchers directly involved with the scientific program of the Laser Interferometer Gravitational-Wave Observatory (LIGO), the book begins with a brief review of general relativity before going on to describe the physics of gravitational waves and the astrophysical sources of gravitational radiation. Further sections cover gravitational wave detectors, data analysis, and the outlook of gravitational wave astronomy and astrophysics.
