Three-Body Problem and the Equations of Dynamics

Poincaré’s Foundational Work on Dynamical Systems Theory

Inbunden, Engelska, 2017

Av Henri Poincaré, Henri Poincare

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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.

Produktinformation

Utgivningsdatum2017-05-22
Mått155 x 235 x 22 mm
Vikt562 g
FormatInbunden
SpråkEngelska
SerieAstrophysics and Space Science Library
Antal sidor248
Upplaga17001
FörlagSpringer International Publishing AG
ISBN9783319528984
OriginaltitelSur le problème des trois corps et les équations de la dynamique
ÖversättarePopp, Bruce D, Popp, Bruce D.

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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.

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.

“In the work under review, Popp, a professional translator, has produced an English translation of Poincaré’s monograph. … This book will be most appropriate for readers with an expressed interest in the history of mathematics and physics or dynamical systems. Summing Up: Recommended. Upper-division undergraduates and above; researchers and faculty.” (M. D. Sanford, Choice, Vol. 55 (4), December, 2017)