for undergraduate students.
Time：2023 Sping, Monday 3-4 (bi-weekly), Friday 3-4
Class Room：Lixing Building 2306
Exam：30% homework + class 20% + numerical homework 20% + 30% final exam
Lecture 1: lecture_1_intro
date: Feb 24,
introduction of celestial dynamics, math test, …Lecture 2: lecture_2_math
date: Mar 3,
math intro, vector, gradient, divergence, curl, coordinates, …Lecture 3: lecture_3_mechanics1
date: Mar 10,
mechanics, Lagrange equations …Lecture 4: lecture_4_potential
date: Mar 17,
poisson equation, potential-density pairs …Lecture 5: lecture_5_orbit_1
date: Mar 24,
orbit in static spherical potential, two-body problem …Lecture 6: lecture_6_stability
date: Mar 31,
Variational Methods, Euler’s equation, A First Integral, Classification of Equilibria, stability…Lecture 7: lecture_7_orbit_2
date: Apr 07,
orbits in axisymmetric potential, epicycle approximation, oort constant, orbits in rotating potentials, restricted three body problem …
lecture for numerical ode
python script for numerical homeworkLecture 8: lecture_8_collisionless
date: Apr 14,
relaxation timescale, Collisionless Boltzmann Equation, Jeans Equation ,The Virial Equations …Lecture 9: lecture_9_equilibrium
date: Apr 21,
The Choice of Equilibrium, Gravothermal catastrophe, Jeans instability, Toomre’s parameter …Lecture 10: lecture_10_extrasolar_planets
date: Apr 28,
topic review, extrasolar planets, detection methods, formation of protostar/planet …Lecture 11: lecture_11_BHB
date: May 5,
dynamical friction, BH binary evolution, final pc problem, slingshot effect …Lecture 12: lecture_12_galaxy_rotation
date: May 12,
galaxy intro, milky-way rotation curve, external galaxy rotation curves, SgrA mass determination from orbit …Lecture 13: lecture_13_resonance
date: May 19,
resonance, spin-orbit, mean motion, secular resonance. secular evolution in spiral galaxy, weak bar approximation, corotation/lindblad resonance …Lecture extra: lecture_linear_system
date: May 22,
numerical methods for solving linear system, Multivariate Newton’s Method …Lecture 14: lecture_14_TDE
date: May 26,
tidal force, tides due to the moon, tidal disruption, TDEs … …Lecture 15: lecture_15_perturbation
date: Jun 2,
perturbation methods, Encke’s Formulation, Variation of Parameter, Perihelion precession of Mercury, …Lecture extra: lecture_distribution_function_montecarlo
date: Jun 5,
distribution function, monte-carlo method …Lecture 16: lecture_16_blackhole
date: Jun 9,
black hole physics, particle orbit around BH, astrophysical BH observations …Lecture 17:
date: Jun 16,
final testLecture extra: lecture_IMBH
date: Jun 19,
intermediate mass black hole, star clusters, spitzer instability, IMBH observations …Lecture 18: lecture_17_binaries
date: Jun 25,
binaries, roche lobe overflow, 3-body interactions, kozai-lidov resonance, gravitational wave intro …