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Three-Body Problem and the Equations of Dynamics
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440 b
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340
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This book is an accurate and readable translation of an article by Poincaré that is a foundational 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. It is the origin of Poincaré sections and the recurrence theorem, and discussions of 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 this work interesting.
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