Precessing orbit of the star S2

Geometric Mechanics — 1st Semester 2022/2023

Lecturer: José Natário
Office: Mathematics Building, 4th floor, room 4.29
Classes: Wednesdays and Thursdays at 8:00 in classroom P12
Office Hours:  Drop by my office or send me an email


The final grades are now available (see side bar). If you want to take a look at your graded exams come to my office at your convenience.

You can see surprising motions of mechanical systems with nonholonomic constraints here, here and here.

You can find more information about the tennis racket theorem in this video.


Geometric Mechanics: mechanical systems, holonomic constraints, rigid body, non-holonomic constraints, Lagrangian mechanics, Hamiltonian mechanics, completely integrable systems, symplectic and Poisson geometry, symmetry and reduction.

Relativity: Galileo spacetime, special relativity, Cartan connection, general relativity, Schwarzschild solution, cosmology.




Grading Policy

Homework: Makes up 50% of the grade. Late homework will not be accepted.

Final exam: Makes up 50% of the grade. Can be retaken if necessary.



You can see more exams on the course webpages from previous years (some in Portuguese):

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