The Key to Newton's Dynamics: The Kepler Problem and the Principia : Containing an English Translation of Sections 1, 2, and 3 of Book One from the First (1687) Edition of Newton's

by Brackenridge, J. Bruce; Rossi, Mary Ann; Newton, Isaac Principia

• ISBN13: 9780520200654
• ISBN10: 0520200659
• Format: Hardcover
• Copyright: 1995-12-01
• Publisher: Univ of California Pr

Summary

While much has been written on the ramifications of Newton's dynamics, until now the details of Newton's solution were available only to the physics expert.The Key to Newton's Dynamicsclearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion. J. Bruce Brackenridge sets the problem in historical and conceptual perspective, showing the physicist's debt to the works of both Descartes and Galileo. He tracks Newton's work on the Kepler problem from its early stages at Cambridge before 1669, through the revival of his interest ten years later, to its fruition in the first three sections of the first edition of thePrincipia.

Table of Contents

Preface
Acknowledgments
Simplified Solution: The Area Law, the Linear Dynamics Ratio, and the Law of Gravitation	p. 3
An Overview of Newton's Dynamics: The Problem of the Planets and the Principia	p. 12
Newton's Early Dynamics: On Uniform Circular Motion	p. 40
The Paradigm Constructed: On Motion, Theorems 1, 2, and 3	p. 69
The Paradigm Applied: On Motion, Problems 1, 2, and 3	p. 95
The Paradigm Extended: On Motion, Theorem 4 and Problem 4	p. 119
The Principia and Its Relationship to On Motion: A Reference Guide for the Reader	p. 141
Newton's Unpublished Proposed Revisions: Two New Methods Revealed	p. 166
Newton's Published Recast Revisions: Two New Methods Concealed	p. 182
Newton's Dynamics in Modem Mathematical Dress: The Orbital Equation and the Dynamics Ratios	p. 211
App. An English Translation of Sections 1, 2, and 3 of Book One from the First (1687) Edition of Newton's Mathematical Principles of Natural Philosophy	p. 225
Notes	p. 269
References	p. 289
Index to the Guided Study and the Translation	p. 293
General Index	p. 297
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