This book addresses that need, beginning with Kepler's laws of planetary motion followed by Newton's law of gravitation. Average and extremum values of dynamical variables are treated and the central force problem is formally discussed. The planetary problem in Cartesian and complex coordinates is tackled and examples of Keplerian motion in the solar system are also considered. The final part of the book is devoted to the motion of artificial Earth satellites and the modifications of their orbits by perturbing forces of various kinds.
Contents:
- Kepler's Laws of Planetary Motion;
- Newton's Laws of Gravitation;
- Average and Extremum Values of Variables;
- The Central Force Problem;
- Vector Hodographs in Planetary Motion;
- Planetary Motion in Cartesian Coordinates;
- Planetary Motion in Complex Coordinates;
- Keplerian Motion in the Solar System;
- Planetary Motion in Three-Dimensional Space;
- Motion of Artificial Earth Satellites;
- Perturbations of Satellite Orbits.