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The Key to Newton's Dynamics : the Kepler Problem and the Principia.

Author: J Bruce Brackenridge; Isaac Newton
Publisher: Berkeley : University of California Press, 1995.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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 Dynamics clearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion.
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J Bruce Brackenridge; Isaac Newton
ISBN: 9780520916852 0520916859
OCLC Number: 630528673
Description: 1 online resource (316 p.)
Contents: COVER; TITLE; COPYRIGHT; CONTENTS; PREFACE; ACKNOWLEDGMENTS; PART I: THE BACKGROUND TO NEWTON'S SOLUTION; 1. A Simplified Solution: The Area Law, the Linear Dynamics Ratio, and the Law of Gravitation; 2. An Overview of Newton's Dynamics: The Problem of the Planets and the Principia; 3. Newton's Early Dynamics: On Uniform Circular Motion; PART II: A GUIDED STUDY TO NEWTON'S SOLUTION; 4. The Paradigm Constructed: On Motion, Theorems 1, 2, and 3; 5. The Paradigm Applied: On Motion, Problems 1, 2, and 3; 6. The Paradigm Extended: On Motion, Theorem 4 and Problem 4. PART III: THE REVISIONS AND EXTENSIONS TO NEWTON'S SOLUTION7. The Principia and Its Relationship to On Motion: A Reference Guide for the Reader; 8. Newton's Unpublished Proposed Revisions: Two New Methods Revealed; 9. Newton's Published Recast Revisions: Two New Methods Concealed; 10. Newton's Dynamics in Modern Mathematical Dress: The Orbital Equation and the Dynamics Ratios; APPENDIX; An English Translation of Sections 1, 2, and 3 of Book One.

Abstract:

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 Dynamics clearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion.

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