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PC1672 Advanced dynamics

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Summary pages 1 Relativity 1.1 Symmetry in physics 1.2 Lorentz invariance 1.3 Proper time 1.4 Space-time 4-vectors 1.5 Relativistic momentum and energy 1.6 Relativistic kinematics 2 Noninertial frames of reference 2.1 Accelerating frames 2.2 Rotating frames 2.3 Motion on the Earth 2.4 The weather 2.5 Foucault's pendulum 3 Gravitation 3.1 Universal law of gravitation 3.2 Conservative forces 3.3 Gravitational potential energy 3.4 Gravitational potentials 3.5 Reduced mass 3.6 Central-force motion 3.7 Orbits 3.8 The solar system 3.9 Satellites 3.10 Orbital energies 3.11 Space travel 3.12 Tides 3.13 Cosmology 4 Rigid-body motion 4.1 Angular momentum and angular velocity 4.2 Rigid bodies 4.3 Tensors 4.4 Moment-of-inertia tensor 4.5 Principal axes 4.6 Euler's equations 4.7 The symmetric top 4.8 Stability of free rotation 4.9 Gyroscopes

Examples sheets Examples 1 (relativity) Examples 2 (noninertial frames) Examples 3 (gravitation) Examples 4 (rigid-body motion) 1999 exam paper 2000 exam paper Research project (spinning coin) Recommmended textbooks Resources Weekly plan Aims Course description Syllabus Guide to using this document

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Mike Birse
6th April 2001