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

Preface vii Acknowledgments xi PART I THE BACKGROUND TO NEWTON'S SOLUTION A Simplified Solution: The Area Law, the Linear Dynamics Ratio, and the Law of Gravitation 3(9) An Overview of Newton's Dynamics: The Problem of the Planets and the Principia 12(28) Newton's Early Dynamics: On Uniform Circular Motion 40(29) PART II A GUIDED STUDY TO NEWTON'S SOLUTION The Paradigm Constructed: On Motion, Theorems l, 2, and 3 69(26) The Paradigm Applied: On Motion, Problems 1, 2, and 3 95(24) The Paradigm Extended: On Motion Theorem 4 and Problem 4 119(22) PART III THE REVISIONS AND EXTENSIONS TO NEWTON'S SOLUTION The Principia and Its Relationship to On Motion: A Reference Guide for the Reader 141(25) Newton's Unpublished Proposed Revisions: Two New Methods Revealed 166(16) Newton's Published Recast Revisions: Two New Methods Concealed 182(29) Newton's Dynamic in Modern Mathematical Dress: The Orbital Equation and the Dynamics Ratios 211(58) APPENDIX An English Translation of Sections 1, 2, and 5 of Book One from the First (1687) Edition of Newton's Mathematical Principles of Natural Philosophy 225(44) Notes 269(20) References 289(4) Index to the Guided Study and The Translation 293(4) General Index 297