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25: Celestial Mechanics

Last updated

Dec 30, 2020
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- 24.4: Appendix 24A Higher-Order Corrections to the Period for Larger Amplitudes of a Simple Pendulum
- 25.1: Introduction- The Kepler Problem

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25.1: Introduction- The Kepler Problem
25.2: Planetary Orbits
We now commence a study of the Kepler Problem. We shall determine the equation of motion for the motions of two bodies interacting via a gravitational force (two-body problem) using both force methods and conservation laws.
25.3: Energy and Angular Momentum, Constants of the Motion
25.4: Energy Diagram, Effective Potential Energy, and Orbits
25.5: Orbits of the Two Bodies
25.6: Kepler’s Laws
25.7: Worked Examples
25.8: Appendix 25A Derivation of the Orbit Equation
25.9: Appendix 25B Properties of an Elliptical Orbit
25.10: Appendix 25C Analytic Geometric Properties of Ellipses

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