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PC1672 Advanced dynamics
Syllabus
1. Relativistic dynamics
- Vectors, tranformations and invariants
- Relativistic invariance
- Space-time four-vectors
- Relativistic energy and momentum
- Applications: relativistic kinematics
2. Noninertial frames of reference
- Motion in rotating frames
- Centrifugal and Coriolis forces
3. Gravitation
- Force fields and potentials
- Gravitational forces and potentials
- Orbits in a central field
- Orbits as conic sections, Kepler's laws
- The solar system, space travel, tides
- Cosmology: the expanding universe
4. Rigid-body motion
- Angular velocity and angular momentum vectors
- Gyroscopes
- Moment-of-inertia tensor
- Principal moments of inertia
- Free rotation and stability
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Mike Birse
17th May 2000