MATH4900D  Seminar  2020/21
General Information
Lecturer

Prof. YiJen LEE
 Office: 412 AB1
 Email:
Time and Venue
 Lecture: Tuesdays 3:306:15pm via Zoom (meeting ID& password announced via email and Blackboard)
Course Description
Celestial mechanics has attracted the interest of some of the greatest mathematical minds in history, from the ancient Greeks to the present day, and has motivated many significant mathematical developments. We shall discuss some outstanding problems and approaches to them, from the Keplerâ€™s problem (describing the motion of a planet around a star), the famous 3body problem (e.g. the motions of the sun, the earth and the moon), to the more general nbody problem.
References
 GeigesThe Geometry of Celestial Mechanics
 Arnold & Kozlov & NeishtadtMathematical Aspects of Classical and Celestial Mechanics
 Siegel & MoserLectures on Celestial Dynamics
 FitzpatrickAn Introduction to Celestial Mechanics
 PollardMathematical Introduction to Celestial Mechanics
 SzebehelyTheory of OrbitsThe restricted 3body problem
 Meyer, K. R., Hall, G. R., and Offin, D.Introduction to Hamiltonian Dynamical Systems and the NBody Problem
 Valtonen et al.The Threebody Problem from Pythagoras to Hawking (history and physics)
 Valtonen & KarttunenThe threebody problem
 WintnerThe analytical foundations of celestial mechanics
 Moser & ZehnderNotes on Dynamical systems
Lecture Notes
 Recording: Sept 22 (Passcode: eBL$iEZ7)
 Recording: Sept 29 (Passcode: 4FM4vHn^ )first 30 minutes missing
 Recording: Oct 6 (Passcode: m1UX3J?n )
 Recording: Oct 13 (Passcode: 0J6%SZVC )
 Recording: Oct 20 (Passcode: =Jy+^5W4 )
 Recording: Nov 10 (Passcode: $7K44V=5 )
Class Notes
 Slides: Sept 22 (Chan)
 Slides: Sept 29 (Wong)
 Slides: Sept 29 (Lam)
 Slides: Oct 20 (Chan)
 Slides: Nov 3 (Wong)
 Slides: Nov 3 (Lam)
Assignments
 Sep 22 [Team 1: Chan & Fang] Geiges Ch.14
 Sep 29 [Team 2: Lam & Wong] Geiges Ch. 56
 Oct 6 [Team 3: Chui & Kwok] Geiges Ch 7
 Oct 13 [Team 4: Tse & Tsoi] Geiges Sections 8.18.3
 Oct 20 [Team 1] Geiges Sections 8.48.6
 Nov 3 [Team 2] Hamiltonian systems Cf. e.g. Geiges Ch 9; Pollard Ch. 3; Fitzpatrick Ch. 6
 Nov 10 [Team 3] Geiges Ch 10 + Geiges Section 8.7
 Nov 17 [Team 4] Integrable systems, Cf. e.g. [W] Sec. 167240; Arnold et al. Ch.3, 5; Perturbation theory cf. e.g. Pollard Ch.4; Valtonen & Karttunen Ch. 910; Fitzpatrick Ch. 910; Arnold et al. Ch.6; or Periodic Orbits cf. e.g. Szebehely Ch.8, Siegel &Moser Ch.2, Moser & Zehnder Ch.2; and/or More on Hamiltonian formulations in celestial mechanics Cf. e.g. Pollard Ch. 3; Szebehely Chs. 5, 7.
Assessment Scheme
Oral presentations (your own)  80%  
Oral presentations (your teammate)  20% 
Useful Links
Honesty in Academic Work
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http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: November 11, 2020 15:34:04