A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Classic Reprint): With an Introduction to the Problem of Three Bodies - Softcover

Inhaltsangabe

Mastering the laws that govern motion across particles and rigid bodies. This authoritative work covers the full landscape of analytical dynamics, from fundamental principles to advanced methods, with a clear path toward solving complex problems like the three-body system.

The book presents a rigorous framework for dynamics, including the equations of motion, energy and momentum concepts, and the powerful tools of Lagrangian and Hamiltonian formalisms. It explores how motion can be reduced, transformed, and analyzed through variational principles, integrals of motion, and transformation theory. With detailed treatments of rigid dynamics and vibrational analysis, it guides readers from basic ideas to sophisticated applications in physics, engineering, and applied mathematics.

• Foundations of motion: holonomic and non-holonomic systems, constraints, and the role of energy and potential functions.


• Advanced methods: Lagrange and Hamilton formalisms, canonical transformations, and integral invariants.


• Special topics: dynamics of rigid bodies, moments of inertia, Euler angles, Poisson brackets, and transformation theory.


• Problem-solving strategies: reduction of complex problems, such as the three-body problem, and analysis of vibrational systems.

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