Stellar Dynamics
Syllabus
Programming
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Nbody: methods
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Potentials of gravitationg systems: general results
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Potentials of spherical systems
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Potentials of non-spherical sysytems
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Circular Velocity, Dynamical time, Free Fall time, Crossing time
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Virial Theorem
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Motion in central Force
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Discussion of homework
Kepler motion: two-body problem: not in class
Motion in axisymmetric potentials: types of orbits
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Epicycle approximation
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Two-body relaxation
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Dynamical Friction
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Violent Relaxation
Boltzman equations
Jeans equation: mass of spherical systems, asymmetric drift correction
Jeans and Toomre instabilities
Hydrodynamics
Elements of Thermodynamics, gas cooling rates.
Hydrodynamics: introduction. Continuity and Euler eqs. Lagrangian approach: simple solution for cold flow of gas.
Bernoulli equation. Kelvin theorem.
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Propagation of waves: Jeans instability, sound.
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Instabilities: Toomre, Bending
Shock waves
Oblique Shock
Convection
Thermal Instability
Kelvin-Helmholtz Instability
Bondi Flow
Homeworks
Useful Links
One: due 30 Jan
Two: due 8 Feb
Three: due 20 Feb
Four: due 27 Feb
Five: due 11 April
Fortran: description
ReadMe for n-body codes
Simple random numbers generators
Example of supermongo code
Fortran Tips
CODES