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The Three-Body Problem and the Equations of Dynamics
Henri Poincaré
其他書名
Poincaré's Foundational Work on Dynamical Systems Theory
出版Springer International Publishing, 2017
ISBN33195290059783319529004
URLhttp://books.google.com.hk/books?id=dTfovgEACAAJ&hl=&source=gbs_api
註釋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.