The Sheer Joy of Celestial Mechanics
Nathaniel Grossman · Birkhäuser Boston eBooks · 1996
4. The Laws of Motion and conservation laws 5. Simple harmonic motion 6. Linear motion in an inverse square field 7. Pendulum in a uniform gravitational field 8. Foucault's pendulum Chapter II.Central Forces .1. Motion in a central field 2. Force and orbit 3. The integrable cases of central forces 4. Bonnet's Theorem . . 5. Miscellaneous exercises 6. Motion on a surface of revolution Chapter III.Orbits under the Inverse Square Law VIII. 1 Sphere and distant mass VIII.2 Planetary ring(s) VIII.3 Deflection of a plumb line VIII.4Midpoint locus VIII.5 Qo inside T VIII.6 Converging chords VIII.7 Singular points VIII.8 Ball and bulge VIII.9 Maclaurin and Jacobi series