Ardema M.D. Analytical Dynamics. Theory and Applications

Kluwer Academic / Plenum Publishers, 2005. - 344 p., OCR.One of the aims of Hamiltonian dynamics is to obtain not just the equations of motion of a dynamic system, but their solution.
There are two types of examples used in this book. The first type is intended to illustrate key results of the theoretical development, and these are deliberately kept as simple as possible. Thus frequent use is made of, for example, the simple pendulum, the one-dimensional harmonic oscillator (linear spring-mass system), and central gravitational attraction. The other type of example is included to show the application of the theoretical results to complex, real-life problems. These examples are often quite lengthy, comprising an entire chapter in some cases. Features involved include three-dimensional motion, rigid bodies, multi-body systems, and nonholonomic constraints.
There are two principal sources for this book. These are the books by Rosenberg (Analytical Dynamics of Discrete Systems, 1977) and by Pars (A Treatise on Analytical Dynamics, 1965).