000			01520 a2200217 4500
020			_a9783319528984
040			_cIITK
041			_aeng
082			_a530.14 _bP755t
100			_aPoincare, Henri
245			_aThe three-body problem and the equations of dynamics _bPoincaré’s foundational work on dynamical systems theory _cHenri Poincare (Deceased); translated by Bruce D. Popp
260			_bSpringer _c2017 _aSwitzerland
300			_axxii, 248p
440			_aAstrophysics and space science library
490			_a/ edited by W. B. Burton; v.443
505			_aHere 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.
650			_aThree-body problem -- Dynamics
650			_aMathematics
700			_aPopp, Bruce D. [tr.]
942			_cBK
999			_c558198 _d558198