The Three-Body Problem and the Equations of Dynamics

By: Henri Poincaré and Bruce D Popp

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Synopsis: 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.

Book Quality:: Publisher Quality
ISBN-13:: 9783319528991
Related ISBNs:: 9783319528984
Publisher:: Springer International Publishing
Date of Addition:: 08/04/18
Copyrighted By:: Springer International Publishing, Cham
Adult content:: No
Language:: English
Has Image Descriptions:: No
Categories:: Nonfiction, Science, Earth Sciences, Mathematics and Statistics
Submitted By:: Bookshare Staff
Usage Restrictions:: This is a copyrighted book.