Three Body Dynamics and Its Applications to Exoplanets
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Beschreibung
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.
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.
Uniquely combines the historically developed methods to solve the three-body problem with the most current developments in the field of orbital mechanics, driven by the recent discoveries of exoplanets and exoplanetary systems Provides significant updates to the current literature through the inclusion of Kepler discoveries (Kepler-36, Kepler-16, Kepler-47) Gives graduate students and researchers a solid background in the field that will allow them to solve advanced problems that arise every day in the rapidly changing field of exoplanets
Autor*in
Zdzislaw Musielak
Themen in »Three Body Dynamics and Its Applications to Exoplanets«
Celestial Mechanics Discovery of Circumbinary Planets Dynamical Astronomy Kepler Discoveries Kepler-453 Multiple Planetary Systems N-body Problem Planetary Motion Planets in Binary Stars Three Body Problem