دانلود کتاب Rigid Body Dynamics

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Contents\nIntroduction\nThe Creators of Rigid Body Dynamics\n1. Rigid Body Equations of Motion and Their Integration\n2. The Euler – Poisson Equations and Their Generalizations\n3. The Kirchhoff Equations and Related Problems of Rigid Body Dynamics\n4. Linear Integrals and Reduction\n5. Generalizations of Integrability Cases. Explicit Integration\n6. Periodic Solutions, Nonintegrability, and Transition to Chaos\nA. Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations\nB. The Lie Algebra e(4) and Its Orbits\nC. Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top\nD. The Hess Case and Quantization of the Rotation Number\nE. Ferromagnetic Dynamics in a Magnetic Field\nF. The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem\nG. Dynamics of Tops and Material Points on Spheres and Ellipsoids\nH. On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation\nI. The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids\nBibliography\nIndex of Names\nIndex