Kurzbeschreibung:
The author shows, in a real-world context, how the tools of calculus, many invented specifically for use in celestial mechanics, can be put into immediate use. He introduces such topics as Fourier series, Laplace and Bessel functions and classical potential theory.
Rezension:
"... As a whole the book is a good contribution to the literature and might be well used for an introductory course in celestial mechanics." (American Mathematical Society)
Inhaltsverzeichnis:
Summary of the Contents:
- Rotating Coordinates
- Cental Forces
- Orbits under the Inverse Square Law
- Expansions for an Elliptic Orbit
- Gravitation and Closed Orbits
- Dynamical Properties of Rigid Bodies
- Gravitational Properties of Solids
- Shape of a Self-Gravitating Fluid