The Key To Newton′s Dynamics - The Kepler Problem & The Principia (Paper)

1. Auflage 1996
ISBN: 978-0-520-20217-7
Verlag: University of California Press

Buch, Englisch, 330 Seiten, Trade Paperback, Format (B × H): 153 mm x 228 mm, Gewicht: 476 g

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.

Autoren/Hrsg.

Brackenridge, J. Bruce

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Human- und Sozialwissenschaften
• Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik

Inhaltsverzeichnis

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 Newton's Unpublished Proposed Revisions: Two New Methods Revealed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

Über Autor(innen)

J. Bruce Brackenridge is Alice G. Chapman Professor of Physics at Lawrence University.