ENGLISH

The Three-Body Problem and the Equations of Dynamics: Poincaré’s Foundational Work on Dynamical Systems Theory

By Henri Poincare , Bruce D Popp

Book information

Publisher
Springer
Year
2017
ISBN
331952898X, 9783319528984
Language
english
Format
PDF
Filesize
1 MB (1497723 bytes)
Series
Astrophysics and Space Science Library
Edition
1st ed. 2017
Pages
248\265
Time added
2018-03-25 06:31:09
Astronomy;Astronomy & Space Science;Science & MathUsed & Rental Textbooks;Specialty BoutiqueUsed & Rental Textbooks;Specialty Boutique;Mathema

Description

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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