for undergraduate students.
Time：2024 Autumn, Monday 5-6, Friday 1-2 (bi-weekly)
Class Room：Lixing Building 2604 (Monday), 4406 (Friday),
Exam：30% homework + class 20% + numerical homework 20% + 30% final test
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date: Aug, 26,
introduction of celestial dynamics, math test, … -
date: Aug 30,
math intro, vector, gradient, divergence, curl, coordinates, … 3: math exercise
date: Sep 2,
math exercise …-
date: Sep 9,
mechanics, Lagrange equations … -
date: Sep 13,
poisson equation, potential-density pairs … 6: course on 16th moved to Sep 14th.
date: Sep 14,
exercise …-
date: Sep 23,
orbit in static spherical potential, two-body problem … -
date: Sep 30,
Variational Methods, Euler’s equation, A First Integral, Classification of Equilibria, stability… -
date: Oct 11,
orbits in axisymmetric potential, epicycle approximation, oort constant, orbits in rotating potentials, restricted three body problem … 10: exercise
date: Oct 12,
exercise …11: lecture_8_ode
date: Oct 14,
numerical differentiation, ODE: Euler Method, Runge-Kutta Method
python script for howework-
date: Oct 21,
relaxation timescale, Collisionless Boltzmann Equation, Jeans Equation ,The Virial Equations … -
date: Oct 25,
The Choice of Equilibrium, Gravothermal catastrophe, Jeans instability, Toomre’s parameter … 14: lecture_11_distribution_func_montocarlo
date: Oct 28,
distribution function, monte-carlo method …
C script for howework-
date: Nov 4,
binaries, roche lobe overflow, 3-body interactions, kozai-lidov resonance, gravitational wave intro … 16: lecture_review_13_blackhole
date: Nov 8,
black hole physics, particle orbit around BH, astrophysical BH observations …-
date: Nov 11,
dynamical friction, BH binary evolution, final pc problem, slingshot effect … -
date: Nov 18,
tidal force, tides due to the moon, tidal disruption, TDEs … … 19: lecture_IMBH
date: Nov 25,
intermediate mass black hole, star clusters, spitzer instability, IMBH observations …20: lecture_review_17_galaxy_rotation
date: Dec 2,
galaxy intro, milky-way rotation curve, external galaxy rotation curves, SgrA mass determination from orbit …21: lecture_review_18_orbit_observation
date: Dec 6,
orbit observation, Kepler equation, Reference Frames, Motion in Coordinates, Sgr A mass determination …22: lecture_review_19_extrasolar_planets
date: Dec 9,
topic review, extrasolar planets, detection methods, formation of protostar/planet …23: lecture_review_20_perturbation
date: Dec 16,
perturbation methods, Encke’s Formulation, Variation of Parameter, Perihelion precession of Mercury, …24: lecture_review_21_resonance
date: Dec 20,
resonance, spin-orbit, mean motion, secular resonance. secular evolution in spiral galaxy, weak bar approximation, corotation/lindblad resonance …25: Final Test
date: Dec 23,