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The Three-Body Problem and the Equations of Dynamics: Poincaré's Foundational Work on Dynamical Systems Theory - Poincaré, Henri, and Popp, Bruce D (Translated by)
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Here is an accurate and readable translation of a seminal article by Henri Poincar� 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, Poincar� 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. Poincar� wrote for ...

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The Three-Body Problem and the Equations of Dynamics: Poincaré's Foundational Work on Dynamical Systems Theory 2018, Springer, Cham

ISBN-13: 9783319850122

Trade paperback

The Three-Body Problem and the Equations of Dynamics: Poincaré's Foundational Work on Dynamical Systems Theory 2017, Springer International Publishing AG, Cham

ISBN-13: 9783319528984

Hardcover