Keplerian Ellipses: A Student Guide To The Physics Of The Gravitational Two-Body Problem

Kepler's three laws of planetary motion were a stunning development in human intellectual history. This second edition is a concise, self-contained treatment of Kepler/Newton planetary orbits at the level of an advanced undergraduate physics student. New to this edition are elements such as a detailed derivation of Newton's shell-point equivalency theorem, a revised derivation of the polar equation for an ellipse, Kepler's Third Law for non-inverse-square central potentials, a chapter on transfer and rendezvous orbits, and an expanded treatment of methods of calculating the average distance between the Sun and a planet. The approach is student-friendly, featuring brief sections, clear notation and diagrams, and mathematics that undergraduates will be comfortable with, accompanied by numerous exercises. Key Features Provides a compact, self-contained treatment of a universally interesting topic Contains brief sections, with emphasis put on clear first-principles discussions of the interpretations of calculations and expressions Student-friendly, with numerous worked examples, clear notation, and exercises Sets a solid foundation for more advanced studies of phenomena such as orbital perturbations, precession, and unbound orbits

• | Author: Bruce Cameron Reed
• | Publisher: Iop Publishing Ltd
• | Publication Date: Mar 27, 2023
• | Number of Pages: 138 pages
• | Language: English
• | Binding: Hardcover
• | ISBN-10: 0750356065
• | ISBN-13: 9780750356060