Some error occured while loading the Quick View. Please close the Quick View and try reloading the page.
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. 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 the Principia.
Price: $37.95
Pages: 330
Publisher: University of California Press
Imprint: University of California Press
Publication Date:
29 February 1996
ISBN: 9780520202177
Format: Paperback
J. Bruce Brackenridge is Alice G. Chapman Professor of Physics at Lawrence University.
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 SOLUTION
7. 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 Newton's Unpublished Proposed Revisions: Two New Methods Revealed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 Modem Mathematical Dress:The Orbital Equation and the Dynamics Ratios
APPENDIX
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
NOTES
REFERENCES
INDEX TO THE GUIDED STUDY AND THE TRANSLATION
GENERAL INDEX
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 SOLUTION
7. 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 Modem Mathematical Dress:The Orbital Equation and the Dynamics Ratios
APPENDIX
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
NOTES
REFERENCES
INDEX TO THE GUIDED STUDY AND THE TRANSLATION
GENERAL INDEX