for undergraduate students.
Time：2025 Fall, Thursday 3-4, Friday 1-2 (bi-weekly)
Class Room：Lixing Building 2403
Exam：30% homework + 30% numerical coding + 30% final test + class behavior 10%
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date: Sep, 4,
introduction of celestial dynamics, math test, … -
date: Sep, 5,
math intro, vector, gradient, divergence, curl, coordinates, … 3: math exercise
date: Sep 11,
math exercise …-
date: Sep 18,
mechanics, Lagrange equations … -
date: Sep 19,
poisson equation, potential-density pairs … 6: exercise
date: Sep 25,
exercise on mechanics …-
date: Oct 9,
orbit in static spherical potential, two-body problem … -
date: Oct 16,
Variational Methods, Euler’s equation, A First Integral, Classification of Equilibria, stability… 9: exercise
date: Oct 17,
exercise on mechanics …-
date: Oct 23,
orbits in axisymmetric potential, epicycle approximation, oort constant, orbits in rotating potentials, restricted three body problem … -
date: Oct 30,
relaxation timescale, Collisionless Boltzmann Equation, Jeans Equation ,The Virial Equations … -
date: Oct 31,
The Choice of Equilibrium, Gravothermal catastrophe, Jeans instability, Toomre’s parameter … 13: lecture_10_ode
date: Nov 6,
numerical differentiation, ODE: Euler Method, Runge-Kutta Method
python script for howework14: lecture_11_distribution_func_montocarlo
date: Nov 20,
distribution function, monte-carlo method …
C script for howework15: lecture_review_1_extrasolar_planets
date: Nov 27,
topic review, extrasolar planets, detection methods, formation of protostar/planet …-
date: Nov 28,
binaries, roche lobe overflow, 3-body interactions, kozai-lidov resonance, gravitational wave intro … 17: lecture_review_3_blackhole
date: Dec 04,
black hole physics, particle orbit around BH, astrophysical BH observations …18: lecture_review_4_blackhole2
date: Dec 11,
intermediate mass black hole, spitzer instability, dynamical friction, BH binary evolution, final pc problem, slingshot effect …-
date: Dec 12,
tidal force, tides due to the moon, tidal disruption, TDEs … … 20: lecture_review_6_obit_observation
date: Dec 18,
orbit observation, Kepler equation, Reference Frames, Motion in Coordinates, Sgr A mass determination …21: lecture_review_7_resonance
date: Dec 25,
resonance, spin-orbit, mean motion, secular resonance. secular evolution in spiral galaxy, weak bar approximation, corotation/lindblad resonance, galaxy intro, milky-way rotation curve, external galaxy rotation curves …22: Final Test
date: Dec 26,