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מכניקה אנליטית, 2023
Tutorial 1 - analytic and numerical solution of ODEs
מכניקה אנליטית, 2023
Tutorial 1 - analytic and numerical solution of ODEs
Handout.pdf
Numeric_DEs.ipynb
Tutorial 1.pdf
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מכניקה אנליטית, 2023
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Tutorial 2 - d'Alembert Principle, heneralized coordinates, E-L equations
Tutorial 3 - homogeneous potentials, cyclic coordinates, Hamiltonian
Tutorial 4 - variation calculus, Hamilton principle, constraints
Tutorial 5 - non-holonomic constraints, central forces, Kepler's problem
Tutorial 6 - scattering, Noether's theorem
Tutorial 7 - small oscillations
Tutorial 8 - small oscillations with external forces, dynamic stability
Tutorial 9 - fictitious forces, moment of inertia
Tutorial 10 - rotation transformations, Euler angles, rigid body dynamics, Hamiltonian formalism
Tutorial 11 - canonical transformations and generating functions, Poisson brackets
Tutorial 12 - Hamilton-Jacobi equation, action-angle variables in 1D
Numerical project
Home exercise 1
Home exercise 2
Home exercise 3
Home exercise 4
Home exercise 5
Home exercise 6
Home exercise 7
Home exercise 8 (addition to 7)
Home exercise 9
Home exercise 10
Home exercise 11
Home exercise 12
Tutorial 2 - d'Alembert Principle, heneralized coordinates, E-L equations ►