AN ELEMENTARY COURSE ON THE MATHEMATICAL STRUCTURE OF CELESTIAL AND TERRESTRIAL DYNAMICS

This book contains a group of lectures illustrating–at an undergraduate level– the mathematical structure of Celestial and Terrestrial Dynamics (the original fields of physical investigations of Classical Dynamics). On the one hand, these fields will provide the physical contents of the mathematical model described in [1],[2]. On the other hand, the problems of celestial and terrestrial dynamics, once framed into the above model, will be able to be given a sound conceptual foundation and a thorough mathematical discussion. From the philosophical point of view, celestial and terrestrial dynamics are no longer disjoint areas of knowledge since Newtonian synthesis, which recognised gravitation as their common core.