A. Review of Newtonian Mechanics
1. Newton’s laws of motion
2. Momentum, angular momentum, and energy
3. System of one particle
4. System of many particles
B. Harmonic Oscillator
1. Damped harmonic oscillator
2. Forced harmonic oscillator
3. Quality factor Q
*4. Phase space
C. Lagrangian Formulation
1. Generalized coordinates
*2. Calculus of variations
3. Lagrange’s equation
4. System with constraints
5. Hamilton’s equations
D. Motion Under a Central Force
*1. Reduction of two-body problem to a one-body problem
2. Effective potential energy
3. Orbit shapes and equations
4. Inverse square field
*5. Stability of circular orbits
E. Rotating Frames of Reference
1.Transformation into a rotating frame
2. Coriolis and centrifugal forces
3. Laws of motion on rotating Earth
F. Rotation of a Rigid Body
1. Euler’s equations for a rigid body
2. Simple precession
3. Moment of inertia tensor
4. Free rotation of a symmetric body
*denotes optional topic
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