Three Body Dynamics And Its Applications To Exoplanets

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Three Body Dynamics and Its Applications to Exoplanets

Author : Zdzislaw Musielak,Billy Quarles
Publisher : Springer
Page : 109 pages
File Size : 46,8 Mb
Release : 2017-07-22
Category : Science
ISBN : 9783319582269

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Three Body Dynamics and Its Applications to Exoplanets by Zdzislaw Musielak,Billy Quarles Pdf

This brief book provides an overview of the gravitational orbital evolution of few-body systems, in particular those consisting of three bodies. The authors present the historical context that begins with the origin of the problem as defined by Newton, which was followed up by Euler, Lagrange, Laplace, and many others. Additionally, they consider the modern works from the 20th and 21st centuries that describe the development of powerful analytical methods by Poincare and others. The development of numerical tools, including modern symplectic methods, are presented as they pertain to the identification of short-term chaos and long term integrations of the orbits of many astronomical architectures such as stellar triples, planets in binaries, and single stars that host multiple exoplanets. The book includes some of the latest discoveries from the Kepler and now K2 missions, as well as applications to exoplanets discovered via the radial velocity method. Specifically, the authors give a unique perspective in relation to the discovery of planets in binary star systems and the current search for extrasolar moons.

Theory of Orbit

Author : Victory Szebehely
Publisher : Elsevier
Page : 684 pages
File Size : 48,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323143462

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Theory of Orbit by Victory Szebehely Pdf

Theory of Orbits: The Restricted Problem of Three Bodies is a 10-chapter text that covers the significance of the restricted problem of three bodies in analytical dynamics, celestial mechanics, and space dynamics. The introductory part looks into the use of three essentially different approaches to dynamics, namely, the qualitative, the quantitative, and the formalistic. The opening chapters consider the formulation of equations of motion in inertial and in rotating coordinate systems, as well as the reductions of the problem of three bodies and the corresponding streamline analogies. These topics are followed by discussions on the regularization and writing of equations of motion in a singularity-free systems; the principal qualitative aspect of the restricted problem of the curves of zero velocity; and the motion and nonlinear stability in the neighborhood of libration points. This text further explores the principles of Hamiltonian dynamics and its application to the restricted problem in the extended phase space. A chapter treats the problem of two bodies in a rotating coordinate system and treats periodic orbits in the restricted problem. Another chapter focuses on the comparison of the lunar and interplanetary orbits in the Soviet and American literature. The concluding chapter is devoted to modifications of the restricted problem, such as the elliptic, three-dimensional, and Hill’s problem. This book is an invaluable source for astronomers, engineers, and mathematicians.

Climate, Planetary and Evolutionary Sciences

Author : Guido Visconti
Publisher : Springer Nature
Page : 370 pages
File Size : 46,5 Mb
Release : 2021-04-14
Category : Science
ISBN : 9783030747138

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Climate, Planetary and Evolutionary Sciences by Guido Visconti Pdf

This book presents the result of an innovative challenge, to create a systematic literature overview driven by machine-generated content. Questions and related keywords were prepared for the machine to query, discover, collate and structure by Artificial Intelligence (AI) clustering. The AI-based approach seemed especially suitable to provide an innovative perspective as the topics are indeed both complex, interdisciplinary and multidisciplinary, for example, climate, planetary and evolution sciences. Springer Nature has published much on these topics in its journals over the years, so the challenge was for the machine to identify the most relevant content and present it in a structured way that the reader would find useful. The automatically generated literature summaries in this book are intended as a springboard to further discoverability. They are particularly useful to readers with limited time, looking to learn more about the subject quickly and especially if they are new to the topics. Springer Nature seeks to support anyone who needs a fast and effective start in their content discovery journey, from the undergraduate student exploring interdisciplinary content, to Master- or PhD-thesis developing research questions, to the practitioner seeking support materials, this book can serve as an inspiration, to name a few examples. It is important to us as a publisher to make the advances in technology easily accessible to our authors and find new ways of AI-based author services that allow human-machine interaction to generate readable, usable, collated, research content.

Dynamics of Small Solar System Bodies and Exoplanets

Author : Jean J. Souchay,Rudolf Dvorak
Publisher : Springer
Page : 518 pages
File Size : 40,9 Mb
Release : 2010-03-10
Category : Science
ISBN : 9783642044588

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Dynamics of Small Solar System Bodies and Exoplanets by Jean J. Souchay,Rudolf Dvorak Pdf

This book on recent investigations of the dynamics of celestial bodies in the solar and extra-Solar System is based on the elaborated lecture notes of a thematic school on the topic, held as a result of cooperation between the SYRTE Department of Paris Observatory and the section of astronomy of the Vienna University. Each chapter corresponds to a lecture of several hours given by its author(s). The book therefore represents a necessary and very precious document for teachers, students, and researchers in the ?eld. The ?rst two chapters by A. Lemaˆ ?tre and H. Skokos deal with standard topics of celestial mechanics: the ?rst one explains the basic principles of resonances in mechanics and their studies in the case of the Solar System. The differences between the various cases of resonance (mean motion, secular, etc. ) are emphasized together with resonant effects on celestial bodies moving around the Sun. The second one deals with approximative methods of describing chaos. These methods, some of them being classical, as the Lyapounov exponents, other ones being developed in the very recent past, are explained in full detail. The second one explains the basic principles of resonances in mechanics and their studies in the case of the Solar System. The differences between the various cases of resonance (mean motion, s- ular, etc. ) are emphasized together with resonant effects on celestial bodies moving around the Sun. The following three chapters by A. Cellino, by P. Robutel and J.

The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems

Author : Bonnie Steves
Publisher : CRC Press
Page : 418 pages
File Size : 43,5 Mb
Release : 2019-05-07
Category : Science
ISBN : 9780429524943

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The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems by Bonnie Steves Pdf

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

Generating Families in the Restricted Three-Body Problem

Author : Michel Henon
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 44,5 Mb
Release : 2001-04-24
Category : Language Arts & Disciplines
ISBN : 9783540417330

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Generating Families in the Restricted Three-Body Problem by Michel Henon Pdf

The classical restricted three-body problem is of fundamental importance because of its applications in astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which many have been computed numerically. This is the second volume of an attempt to explain and organize the material through a systematic study of generating families, the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. We use quantitative analysis in the vicinity of bifurcations of types 1 and 2. In most cases the junctions between branches can now be determined. A first-order approximation of families of periodic orbits in the vicinity of a bifurcation is also obtained. This book is intended for scientists and students interested in the restricted problem, in its applications to astronomy and space research, and in the theory of dynamical systems.

Galileo Unbound

Author : David D. Nolte
Publisher : Oxford University Press
Page : 384 pages
File Size : 49,6 Mb
Release : 2018-07-12
Category : Science
ISBN : 9780192528506

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Galileo Unbound by David D. Nolte Pdf

Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Formation and Evolution of Exoplanets

Author : Rory Barnes
Publisher : John Wiley & Sons
Page : 291 pages
File Size : 54,6 Mb
Release : 2010-04-05
Category : Science
ISBN : 9783527408962

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Formation and Evolution of Exoplanets by Rory Barnes Pdf

Die Theorie der Planetenentstehung, im Zusammenhang präsentiert: Hier finden Sie Informationen zu allen wichtigen Aspekten, dazu sorgfältig recherchierte Literaturverweise und Bibliographien zum Weiterlesen. Mit einem Kapitel zu den jüngsten Beobachtungen.

Exoplanets

Author : Sara Seager
Publisher : University of Arizona Press
Page : 545 pages
File Size : 42,8 Mb
Release : 2011-01-15
Category : Science
ISBN : 9780816529452

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Exoplanets by Sara Seager Pdf

For the first time in human history, we know for certain the existence of planets around other stars. Now the fastest-growing field in space science, the time is right for this fundamental source book on the topic which will lay the foundation for its continued growth. Exoplanets serves as both an introduction for the non-specialist and a foundation for the techniques and equations used in exoplanet observation by those dedicated to the field.

The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems

Author : Bonnie Steves,A.J Maciejewski
Publisher : CRC Press
Page : 648 pages
File Size : 54,5 Mb
Release : 2001-09-01
Category : Science
ISBN : 0750308222

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The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems by Bonnie Steves,A.J Maciejewski Pdf

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.

The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy

Author : Ivan I. Shevchenko
Publisher : Springer
Page : 194 pages
File Size : 45,5 Mb
Release : 2016-09-16
Category : Science
ISBN : 9783319435220

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The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy by Ivan I. Shevchenko Pdf

This book deals with an effect in celestial mechanics that has become quite important in exoplanet research. The Lidov-Kozai effect reveals itself in coherent periodic variations (which can be very large) of the inclination and eccentricity of an orbiting body in the presence of an inclined perturber. The effect is known to be important in the motion of many asteroids and planetary satellites. What is more, now it attracts more and more interest in the astronomical and astrophysical community due to its relevance for many exoplanetary systems. Recent years witnessed major advancements in its theory. It would be no exaggeration to say that nowadays the Lidov-Kozai effect becomes one of the most studied astrophysical effects. This book covers the multitude of the Lidov-Kozai effect’s modern applications and its theory developments. It will be useful for researchers and students working in astrophysics, celestial mechanics, stellar dynamics, theoretical mechanics, space missions design, depending on the interests of the reader. The book is self-contained. It provides the full detailed coverage of the effect’s theory and applications.

Nonlinear Dynamics And Collective Effects In Particle Beam Physics - Proceedings Of The International Committee On Future Accelerators Arcidosso Italy 2017

Author : Swapan Chattopadhyay,Max Cornacchia,Simone Di Mitri
Publisher : World Scientific
Page : 376 pages
File Size : 51,5 Mb
Release : 2019-01-18
Category : Science
ISBN : 9789813279629

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Nonlinear Dynamics And Collective Effects In Particle Beam Physics - Proceedings Of The International Committee On Future Accelerators Arcidosso Italy 2017 by Swapan Chattopadhyay,Max Cornacchia,Simone Di Mitri Pdf

This book of proceedings is an up-to-date review of the advances made in the past two decades on the production, control and exploitation of bright electron and light beams for science — in particular, innovative manipulation and control, in linear and circular accelerators, of high brightness charged particle beams. In the conceptual, theoretical and experimental framework of nonlinear beam dynamics and collective cooperative effects, the book provides an update of the state-of-the-art theoretical formulations, techniques and technologies, innovative concepts and scientific results obtained at existing accelerator facilities. Challenges and solutions, proposed or implemented, for the operation of third and fourth generation storage rings as synchrotron radiation sources and circular colliders for high energy particle physics, as well as radiofrequency linear accelerators for Compton/Thomson scattering-based light sources and free electron lasers, are reviewed and discussed. The complementarity between single-pass and recirculating light sources in energy, timing and spectral operational modes also emerges.

The Exoplanet Handbook

Author : Michael Perryman
Publisher : Cambridge University Press
Page : 423 pages
File Size : 53,9 Mb
Release : 2011-05-26
Category : Science
ISBN : 9781139498517

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The Exoplanet Handbook by Michael Perryman Pdf

Exoplanet research is one of the most explosive subjects in astronomy today. More than 500 exoplanets are now known, and groups world-wide are actively involved in a broad range of observational and theoretical efforts. This book ties together these many avenues of investigation - from the perspectives of observation, technology and theory - to give a comprehensive, up-to-date review of the entire field. All areas of exoplanet investigation are covered, making it a unique and valuable guide for researchers in astronomy and planetary science, including those new to the field. It treats the many different techniques now available for exoplanet detection and characterisation, the broad range of underlying physics, the overlap with related topics in solar system and Earth sciences, and the concepts underpinning future developments. It emphasises the interconnection between the various fields and provides extensive references to more in-depth treatments and reviews.

Extra-Solar Planets

Author : Bonnie Steves,Martin Hendry,Andrew C. Cameron
Publisher : CRC Press
Page : 307 pages
File Size : 47,9 Mb
Release : 2010-12-07
Category : Science
ISBN : 9781420083453

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Extra-Solar Planets by Bonnie Steves,Martin Hendry,Andrew C. Cameron Pdf

Since the discovery of the first exoplanet orbiting a main sequence star in 1995, nearly 500 planets have been detected, with this number expected to increase dramatically as new ground-based planetary searches begin to report their results. Emerging techniques offer the tantalizing possibility of detecting an Earth-mass planet in the habitable zone of a solar-type star as well as the exciting prospect of studying exoplanetary atmospheres that could reveal the presence of biomarkers, such as water vapor, oxygen, and carbon dioxide. Can we find the "Holy Grail" of exoplanets? Cutting-edge research may reveal the answer Written by internationally renowned scientists at the forefront of the field, Extra-Solar Planets: The Detection, Formation, Evolution and Dynamics of Planetary Systems presents powerful analytical tools and methods for investigating extra-solar planetary systems. It discusses new theories on planetary migration and resonant capture that elucidate the existence of "hot Jupiters." It also examines the astrophysical mechanisms required to assemble gas giant planets close to their parent star. In addition, the expert contributors describe how mathematical tools involving periodicity, chaos, and resonance are used to study the diversity and stability of observed planetary systems. By presenting the fundamental analyses that underpin modern studies of extra-solar planetary systems, this graduate-level book enables readers to thoroughly understand important recent developments and offers a platform for future research. It also improves readers’ understanding of our own solar system and its place in the diverse range of planetary systems discovered so far.

Extrasolar Planets

Author : Rudolf Dvorak
Publisher : John Wiley & Sons
Page : 305 pages
File Size : 43,7 Mb
Release : 2008-06-25
Category : Science
ISBN : 9783527621378

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Extrasolar Planets by Rudolf Dvorak Pdf

This latest, up-to-date resource for research on extrasolar planets covers formation, dynamics, atmospheres and detection. After a look at the formation of giant planets, the book goes on to discuss the formation and dynamics of planets in resonances, planets in double stars, atmospheres and habitable zones, detection via spectra and transits, and the history and prospects of ESPs as well as satellite projects. Edited by a renowned expert in solar system dynamics with chapters written by the leading experts in the method described -- from the US and Europe -- this is an ideal textbook for graduates, students in astronomy, and astronomers.