69 lines
2.4 KiB
Markdown
69 lines
2.4 KiB
Markdown
---
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title: Mechanics
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subtitle: |
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By L. D. Landau and E. M. Lifschitz
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Translated from the Russian by J. B. Sykes and J. S. Bell
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---
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I. THE EQUATIONS OF MOTION
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1. [Generalized co-ordinates](1-generalized-co-ordinates.html)
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2. [The principle of least action](2-the-principle-of-least-action.html)
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3. [Galileos's relativity principle](3-galileos-relativity-principle.html)
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4. [The Lagrangian for a free particle](4-the-lagrangian-for-a-free-particle.html)
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5. [The Lagrangian for a system of particles](5-the-lagrangian-for-a-system-of-particles.html)
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II. CONSERVATION LAWS
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6. [Energy](6-energy.html)
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7. [Momentum](7-momentum.html)
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8. [Centre of mass](8-centre-of-mass.html)
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9. [Angular momentum](9-angular-momentum.html)
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10. [Mechanical similarity](10-mechanical-similarity.html)
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<span style="background-color: yellow; color: white: width: 100%;">
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🚧 WORK IN PROGRESS BELOW THIS POINT 🚧
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</span>
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III. INTEGRATION OF THE EQUATIONS OF MOTION
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11. [Motion in one dimension](11-motion-in-one-dimension.html)
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12. [Determination of the potential energy from the period of oscillation](12-determination-of-the-potential-energy-from-the-period-of-oscillation.html)
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13. [The reduced mass](13-the-reduced-mass.html)
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14. [Motion in a central field](14-motion-in-a-central-field.html)
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15. [Kepler's problem]()
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IV. COLLISION BETWEEN PARTICLES
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16. Disintegration of particles
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17. Elastic collisions
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18. Scattering
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19. Rutherford's formula
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20. Small-angle scattering
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V. SMALL OSCILLATIONS
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21. Free oscillations in one dimension
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22. Forced oscillations
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23. Oscillations of systems with more than one degree of freedom
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24. Vibrations of molecules
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25. Damped oscillations
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26. Forced oscillations under friction
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27. Parametric resonance
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28. Anharmonic oscillations
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29. Resonance in non-linear oscillations
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30. Motion in a rapidly oscillating field
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VI. MOTION OF A RIGID BODY
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31. Angular velocity
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32. The inertia tensor
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33. Angular momentum of a rigid body
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34. The equations of motion of a rigid body
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35. Eulerian angles
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36. Euler's equations
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37. The asymmetrical top
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38. Rigid bodies in contact
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39. Motion in a non-inertial frame of reference
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VII. THE CANONICAL EQUATIONS
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40. Hamilton's equations
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41. The Routhian
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42. Poisson brackets
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43. The action as a function of the co-ordinates
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44. Maupertuis' principle
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45. Canonical transformations
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46. Liouville's theorem
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47. The Hamilton-Jacobi equation
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48. Separation of the variables
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49. Adiabatic invariants
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50. General properties of motion in `s` dimensions
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