The Three-Body Problem and the Equations of Dynamics

Poincare's Foundational Work on Dynamical Systems Theory

By:

Henri Poincare

Format:

Hardback

Series:

Astrophysics and Space Science Library,

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Description

Here is an accurate and readable translation of a seminal article by Henri Poincare 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, Poincare 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. Poincare 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.

Author Biography:

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 Poincare.

Release date Australia

May 22nd, 2017

Author

Henri Poincare

Audience

Professional & Vocational

Contributor

Translated by Bruce D. Popp

Country of Publication

Switzerland

Edition

2017 ed.

Illustrations

9 black & white illustrations, biography

Imprint

Springer International Publishing AG

Pages

248

Publisher

Springer International Publishing AG

Series

Astrophysics and Space Science Library,

Dimensions

155x235x16

ISBN-13

9783319528984

Product ID

26572286

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