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Basic Calculus of Planetary Orbits and Interplanetary Flight


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Table of Contents

Preface.- 1. From Kepler to Newton to a Picture of the Universe.- 2. Exploring the Solar System.- 3. Calculus of Functions in Polar Coordinates.- 4. Centripetal Force and Resulting Trajectories.- 5. Elliptical Orbits and their Precession.- 6. Mathematics of Interplanetary Flight.- References.- Index.

About the Author

Alexander J. Hahn is Professor Emeritus of Mathematics at the University of Notre Dame. His research over the years has had a focus on the following algebraic concerns: Orthogonal groups and other classical matrix groups both over fields, integral domains and in number theoretic situations, and related structures such as Clifford algebras, Azumaya algebras, quadratic and Hermitian forms and their Witt groups, and linear and Hermitian K-Theory. In the last few years Dr. Hahn has become interested in the history of mathematics and science. In addition to this present book, Alexander Hahn's books published with Springer include : The Classical Groups and K-Theory (Grundlehren); Quadratic Algebras (Universitext); Basic Calculus: From Archimedes to Newton to its Role in Science (TiM). Hahn has also published Mathematical Excursions to the World's Great Buildings with PUP.


"This is an interesting literature for those whose study of astronomy is targeted to applications in dynamics of gravitationally interacting bodies ... . The book is also rich in texts with general information on the state of the art data and current understanding about the structure of the Solar system obtained from numerous space exploration projects which makes it useful not only for astronomy teachers and students but also as a reference literature for a more general scientific community." (Vladimir Cadez, zbMATH 1444.85001, 2020)

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