ENGLISH

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

By Henri Poincaré (auth.)

Book information

Publisher
Springer International Publishing
Year
2017
ISBN
978-3-319-52898-4, 978-3-319-52899-1
DOI
10.1007/978-3-319-52899-1
Language
english
Format
PDF
Filesize
3 MB (2763141 bytes)
Series
Astrophysics and Space Science Library 443
Edition
1
Pages
XXII, 248\265
Time added
2017-06-25 01:07:36
Dynamical Systems and Ergodic Theory;Statistical P

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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