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The three-body problem and the equations of dynamics : Poincaré’s foundational work on dynamical systems theory

By: Poincare, Henri.
Contributor(s): Popp, Bruce D. [tr.].
Series: Astrophysics and space science library. / edited by W. B. Burton; v.443.Publisher: Switzerland Springer 2017Description: xxii, 248p.ISBN: 9783319528984.Subject(s): Three-body problem -- Dynamics | MathematicsDDC classification: 530.14 | P755t
Contents:
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.
List(s) this item appears in: PHY 2017-18 | 2017-18
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Item type Current location Collection Call number Status Date due Barcode Item holds
Books Books P K Kelkar Library, IIT Kanpur
General Stacks 530.14 P755t (Browse shelf) Available A183308
Total holds: 0

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.

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