ORBITS EXPLAINED
A Priori
All material copyright 2006 David S. Marlin
Permission granted to copy for study and teaching purposes.
To see some photos of the notebooks that
are the seed of Orbits Explained click the
notebook photo links.  These contain the
handwritten ideas and diagrams produced
from 2001 to 2004.  Many of the ideas and
diagrams turned out to be false leads and
pitfalls.  But finally a valid set of proofs
emerged.
Notebooks Photo 1
Notebooks Photo 2
Notebooks Photo 3
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Dedication
Preface / PDF Format
Chapter 1 The Parts of an Ellipse / PDF Format
Chapter 2 The Area of Ellipses / PDF Format
Chapter 3 About Vectors / PDF Format
Chapter 4 Clarify Speed / PDF Format
Chapter 5 Newton Equal Areas / PDF Format
Chapter 6 Sweeping Area / PDF Format
Chapter 7 Hamilton's Hododgraph / PDF Format
Chapter 8 Any Right Triangle / PDF File
Chapter 9 Here is the Hododyne / PDF Format
Chapter 10 Philosophical Pause / PDF Format
Chapter 11 A Priori Orbits Are Ellipses / PDF Format
Chapter 12 The Hododyne Applied / PDF Format
Chapter 13 Rotate 90 Degrees / PDF Format
Chapter 14 Total Velocity From the Hododgraph / PDF Format
Chapter 15 Thanks to Usiskin / PDF Format
Chapter 16 Location Language / PDF Format
Chapter 17 Radial and Tangential Components / PDF File
Chapter 18 Observations Regarding Tangential and Radial Components / PDF Format
Chapter 19 Angular Velocity / PDF Format
Chapter 20 Delta Velocity and Delta Theta Are Related / PDF Format
Chapter 21 Force Law A Priori / PDF Format
Chapter 22 G / PDF Format
Chapter 23 Circular Acceleration / PDF Format
Chapter 24 Periods A Priori / PDF Format
Chapter 25 Areal Velocity / PDF Format
Chapter 26 Scale the Circular Hododgraph / PDF Format
Chapter 27 Total and Tangential Velocity / PDF Format
Chapter 28 What Happens at B / PDF Format
Chapter 29 Paradox at B / PDF Format
Chapter 30 Small Angles in Radian Measure / PDF Format
Chapter 31 Comparing Changes in Angle / PDF Format
Chapter 32 False Force at B / PDF Format
Chapter 33 The Periods of Ellipses A Priori / PDF Format
Chapter 34 Scaling Revisited / PDF Format
Chapter 35 Escape / PDF Format
Chapter 36 GMP / PDF Format
Chapter 37 P Velocity / PDF Format
Chapter 38 Total Velocity Squared / PDF Format
Chapter 39 Energy Equation Derived / PDF Format
Chapter 40 The Directrix / PDF Format
Chapter 41 Polar Coordinates / PDF Format
Chapter 42 Elementary Predictions / PDF Format
Chapter 43 Philosophical Metaphysical Orbits / PDF Format


photo courtesy of NASA
Click on the links below to view the chapters sequentially.  You may choose
to view a Word Format File or a PDF Format File.  Please read the preface
first to get a sense of how Orbits Explained evolved and what it intends to
convey.