All Questions
3 questions
7
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Lyapunov stability of circular orbits
I'm studying Classical mechanics on Arnold's "Mathematical Methods of Classical Mechanics". In a problem I am asked to find for which $\alpha$ the circular orbits in the central field problem are ...
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2
votes
2
answers
173
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Closed gravitational orbits and gradient systems
I am currently studying non-linear dynamics on my own time. One of the theorems in the material is that systems that can be written as gradient problems cannot have closed orbits i.e. systems like
$$\...
- 21
1
vote
0
answers
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Kasner-Arnold theorem energy role in Needham's "Visual Complex Analysis" (VCA)
In "Visual Complex Analysis" (chapter 5.X.6) Tristan Needham writes
In general, positive energy orbits in either the attractive or repulsive field $F \propto r^A$ map to attractive orbits ...
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