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Autor: Henri Poincaré
ISBN-13: 9783319528984
Einband: Book
Seiten: 248
Gewicht: 562 g
Format: 241x159x25 mm
Sprache: Englisch

The Three-Body Problem and the Equations of Dynamics

443, Astrophysics and Space Science Library
Poincaré's Foundational Work on Dynamical Systems Theory, Originaltitel:Sur le problème des trois corps et les équations de la dynamique
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Bruce D. Popp is an ATA-certified translator for French into English with a BA in physics from Cornell University and a PhD in astrophysics from Harvard University. He is also a U.S. Patent and Trademark Office registered patent agent. As a professional translator, he performs premium-quality translations of scientific and technical documents, especially patent applications. As an independent scholar, he is applying his love of astrophysics, mathematics and French to understanding the work of Henri Poincaré.
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.
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
Translator's Preface.- Author's Preface.- Part I. Review.- Chapter 1 General Properties of the Differential Equations.- Chapter 2 Theory of Integral Invariants.- Chapter 3 Theory of Periodic Solutions.- Part II. Equations of Dynamics and the N-Body Problem.- Chapter 4 Study of the Case with Only Two Degrees of Freedom.- Chapter 5 Study of the Asymptotic Surfaces.- Chapter 6 Various Results.- Chapter 7 Attempts at Generalization.- Erratum. References.- Index.
Autor: Henri Poincaré
ワbersetzung von: Bruce D. Popp
Bruce D. Popp is an ATA-certified translator for French into English with a BA in physics from Cornell University and a PhD in astrophysics from Harvard University. He is also a U.S. Patent and Trademark Office registered patent agent. As a professional translator, he performs premium-quality translations of scientific and technical documents, especially patent applications. As an independent scholar, he is applying his love of astrophysics, mathematics and French to understanding the work of Henri Poincaré.

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Autor: Henri Poincaré
ISBN-13 :: 9783319528984
ISBN: 331952898X
Erscheinungsjahr: 01.06.2017
Verlag: Springer-Verlag GmbH
Gewicht: 562g
Seiten: 248
Sprache: Englisch
Sonstiges: Buch, 241x159x25 mm, 8 schwarz-weiße Abbildungen, Bibliographie