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Mathematics of classical mechanics, including Hamiltonian mechanics, Lagrangian mechanics, applications of symplectic geometry to mechanics, deterministic chaos, resonance etc.
32
votes
Accepted
Stability of the Solar System
Due to chaotic behaviour of the Solar System, it is not possible to precisely predict the evolution of the Solar System over 5 Gyr and the question of its long-term stability can only be answered in a …
2
votes
1
answer
519
views
Invariance of the Noether charge
The paper http://epubs.siam.org/doi/abs/10.1137/1023098 (Generalizations of Noether’s Theorem in Classical Mechanics, by Willy Sarlet and Frans Cantrijn) mentions "an interesting property of the Noeth …
4
votes
Egg-ovoid rolling down an inclined plane
This paper https://jeb.biologists.org/content/221/19/jeb178988 contains an experimental investigation of egg rolling. Theoretically, it seems "the relationship of egg shape to egg movement (e.g. rolli …
0
votes
Regarding understanding differential geometry
Maybe the following books will be helpful:
The Geometry of Physics: An Introduction, by Theodore Frankel.
Geometry, Topology and Physics, by Mikio Nakahara.
For a quick introduction into the subject …