Keplerian Ellipses (Second Edition): A student guide to the physics of the gravitational two-body problem...

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Bruce Cameron Reed (Alma College, USA)

Keplerian Ellipses (Second Edition)

A student guide to the physics of the gravitational two-body problem

Bruce Cameron Reed (Alma College, USA)

$237.95 $190.40

Hardback

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English

Institute of Physics Publishing
27 March 2023

Theoretical & mathematical astronomy

Series: AAS-IOP Astronomy

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

By: Bruce Cameron Reed (Alma College USA)
Imprint: Institute of Physics Publishing
Country of Publication: United Kingdom
Edition: 2nd edition
Dimensions: Height: 254mm, Width: 178mm, Spine: 13mm
ISBN: 9780750356060
ISBN 10: 0750356065
Series: AAS-IOP Astronomy
Pages: 138
Publication Date: 27 March 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

1 Polar coordinates - a review 2 Dynamical quantities in polar coordinates 3 Central Forces 4 The Ellipse 5 Elliptical orbits and the inverse-square law: Geometry meets physics 6 Kepler’s equation: anomalies true, eccentric, and mean 7 Transfer and rendezvous orbits 8 Some sundry results A Spherical coordinates B Circular-orbit perturbation theory for non-inverse-square central forces C Further reading D Summary of useful formulae E Glossary of symbols

Bruce Cameron Reed is the Charles A Dana Professor of Physics Emeritus at Alma College, Michigan, with a 35-year career of undergraduate-level teaching in Canada and the United States. He has published around 140 regular journal papers, 60 semi-popular articles, review papers, and book reviews, plus eight texts on the Manhattan Project, quantum mechanics, and Keplerian orbits. In 2009, he was elected a Fellow of the American Physical Society. He has served as Editor of American Physical Society’s “Physics & Society” newsletter for four years (2009-13), and is currently an Associate Editor with American Journal of Physics.

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Keplerian Ellipses (Second Edition)

A student guide to the physics of the gravitational two-body problem

Bruce Cameron Reed (Alma College, USA)

$237.95 $190.40

Hardback

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