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Three-Body Problem and the Equations of Dynamics

Poincare's Foundational Work on Dynamical Systems Theory

Henri Poincare

Lingua

Inglese

Libro In brossura

Codice Libristo: 20119368

Casa editrice Springer International Publishing AG, luglio 2018

Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classi... Descrizione completa

Codice Libristo: 20119368

330 b

134.69 €

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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.