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This textbook introduces readers to the detailed and methodical
resolution of classical and more recent problems in analytical
mechanics. This valuable learning tool includes worked examples and
40 exercises with step-by-step solutions, carefully chosen for
their importance in classical, celestial and quantum mechanics. The
collection comprises six chapters, offering essential exercises on:
(1) Lagrange Equations; (2) Hamilton Equations; (3) the First
Integral and Variational Principle; (4) Canonical Transformations;
(5) Hamilton - Jacobi Equations; and (6) Phase Integral and Angular
Frequencies Each chapter begins with a brief theoretical review
before presenting the clearly solved exercises. The last two
chapters are of particular interest, because of the importance and
flexibility of the Hamilton-Jacobi method in solving many
mechanical problems in classical mechanics, as well as quantum and
celestial mechanics. Above all, the book provides students and
teachers alike with detailed, point-by-point and step-by-step
solutions of exercises in Lagrangian and Hamiltonian mechanics,
which are central to most problems in classical physics, astronomy,
celestial mechanics and quantum physics.
The book introduces readers to the concept of weightlessness and
microgravity, and presents several examples of microgravity
research in fluid physics, the material sciences and human
physiology. Further, it explains a range of basic physical concepts
(inertia, reference frames, mass and weight, accelerations,
gravitation and weightiness, free fall, trajectories, and platforms
for microgravity research) in simple terms. The last section
addresses the physiological effects of weightlessness. The book's
simple didactic approach makes it easy to read: equations are kept
to a minimum, while examples and applications are presented in the
appendices. Simple sketches and photos from actual space missions
illustrate the main content. This book allows readers to understand
the space environment that astronauts experience on board space
stations, and to more closely follow on-going and future space
missions in Earth orbit and to Mars.
This book introduces the Martian simulations of The Mars Society,
the first one installed on Devon Island, an uninhabited island in
the Canadian Arctic, well within the polar circle, and the second
in the desert of Utah, several hundreds of kilometers South of Salt
Lake City. The book is based on the diaries held during the
simulations, by Vladimir Pletser, a physicist-engineer, who was
selected to participate in these simulations. It relates the
details of everyday life in these Martian habitats and of the
scientific and exploratory work conducted in these extreme
environments in preparation for future manned missions to Mars.
Through the real experiences described in the book, readers will
find space explorations and living on Mars more tangible.
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