for undergraduate students.
Time：2022 Sping, Wednesday 5-6, Thursday 1-2
Class Room：Lixing Building 4402
Exam：40% homework + 60% final exam
Lecture 1: lecture_1_intro
date: March 2,
introduction of celestial dynamics, math test, …Lecture 2: lecture_1.1_math
date: March 9,
math intro, vector, gradient, divergence, curl, coordinates, …Lecture 3: notes_coordinates
date: March 16,
math intro continued …Lecture 4: lecture_2_mechanics
date: March 23,
mechanics, Lagrange equations …Lecture 5: lecture_3_potential
date: March 30,
poisson equation, potential-density pairs …Lecture 6: lecture_4_orbit_1
date: Apr 6,
orbits in static spherical potentials, two body problem …Lecture 7: lecture_5_orbit_2
date: Apr 13,
orbits in axisymmetric potential,epicycle approximation, oort constant …Lecture 8: lecture_6_orbit_3
date: Apr 20,
orbits in rotating potentials, restricted three body problem …Lecture 9: lecture_7_collisionless
date: Apr 27,
relaxation timescale, Collisionless Boltzmann Equation, Jeans Equation ,The Virial Equations …Lecture 10: lecture_8_stability
date: May 04,
application of jeans equation, stability analysis, Toomre’s parameter …Lecture 10a: lecture_9_ode
date: May 05,
ode numerical solution , Euler method, Runge-Kutta method, …Lecture 11: review_topic_1
date: May 11,
topic review, extrasolar planets, detection methdos, formation of protostar/planet …Lecture 12: review_topic_2
date: May 18,
Perturbation Theory, Encke’s Formulation, Variation of Parameter, Canonical Perturbation Theory , Perihelion precession of Mercury, …Lecture 13: review_topic_3
date: May 25,
resonance, spin-orbit, mean motion, secular resonance. secular evolution in sprial galaxy, weak bar approximation, corotation/lindblad resonance …Lecture 14: review_topic_4
date: Jun 1,
galaxy intro, milky-way rotation curve, external galaxy rotation curves, SgrA mass determination from orbit …Lecture 15: review_topic_5
date: Jun 8,
dynamical friction, BH binary evolution, final pc problem, slingshot effect …Lecture 16: review_topic_6
date: Jun 15,
tidal force, tides due to the moon, tidal disruption, TDEs …Lecture 17: review_topic_7
date: Jun 22,
n-body numerical method, monte-carlo method, rejection sampling, random walk …