Authors:
- Provides a clear and accurate translation of Poincaré's work, making it accessible to English-speaking readers who want to study and understand his thinking
- Includes Poincaré’s entire classic, so readers can hear Poincaré’s own, compelling voice, explore the details and form their own opinions
- The translator's preface identifies key concepts and their location in the book, facilitating the selection of specific sections for further attention
- Includes supplementary material: sn.pub/extras
Part of the book series: Astrophysics and Space Science Library (ASSL, volume 443)
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Table of contents (7 chapters)
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Front Matter
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Equations of Dynamics and the N-Body Problem
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Front Matter
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Back Matter
About this book
Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations’ solutions, such as orbital resonances and horseshoe orbits.
Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.
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Authors and Affiliations
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Paris, France
Henri Poincaré
About the author
Bibliographic Information
Book Title: The Three-Body Problem and the Equations of Dynamics
Book Subtitle: Poincaré’s Foundational Work on Dynamical Systems Theory
Authors: Henri Poincaré
Translated by: Bruce D Popp
Series Title: Astrophysics and Space Science Library
DOI: https://doi.org/10.1007/978-3-319-52899-1
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-52898-4Published: 22 May 2017
Softcover ISBN: 978-3-319-85012-2Published: 28 July 2018
eBook ISBN: 978-3-319-52899-1Published: 11 May 2017
Series ISSN: 0067-0057
Series E-ISSN: 2214-7985
Edition Number: 1
Number of Pages: XXII, 248
Number of Illustrations: 9 b/w illustrations
Additional Information: Original French edition published by Institut Mittag-Leffler, Sweden, 1890
Topics: Dynamical Systems and Ergodic Theory, Statistical Physics and Dynamical Systems, Astrophysics and Astroparticles, History and Philosophical Foundations of Physics, Planetary Sciences