Introduction to geometry and algebra of mechanics fundamentals by plane geometry
Review of fields and their vector analysis by geometry and complex variables
Superball missile and neutron starlet dynamics. Coupled oscilllator and rotational motion
Introduction to Hamiltonian, Estrangian, and Lagrangian contact mechanics of Action

Generalized coordinate equations of motion. Pendulum and trebuchet motion
Sports kinematics vs. trebuchet dynamics. E&B Lagrangian and field orbits

Riemann-Christoffel covariant tensor equations of motion and differential geometry
Effective potentials and geometry of constraints and Lagrange multipliers

Lorentz resonance response and Fourier analysis
Normal modes and U(2) Euler angle geometry of pair resonance
Fourier and symmetry analysis of wave dispersion and parametric resonance

Coulomb and central-force orbits and trajectory envelopes
Rutherford orbit geometry
U(2) and R(4) geometry of oscillator and Coulomb dynamics
Rutherford, Stark, Zeeman, and 2-center orbits

2-particle scattering.
Angular rotation and momentum of gyros, tops, spacecraft, and molecules
Euler-angle geometry and rotational energy surface analysis of soft rotors

Calculus of variation and Hamiltion-Jacobi equations
Geometry of contact transformations
Semiclassical action quantization by Davis-Heller phase color addition

Optical dispersion derivation of relativistic quantum mechanics
Chaotic motion. Optimal control theory

Defining Constants
Current Best Estimates (IAU 2009)
Constants from IAU WG on Cartographic Coordinates and Rotational Elements (2007)
Other Constants