Skip to main content

All Questions

Filter by
Sorted by
Tagged with
1 vote
0 answers
122 views

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 ...
Roah's user avatar
  • 111
2 votes
2 answers
173 views

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 $$\...
curiousny's user avatar
7 votes
1 answer
1k views

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 ...
pier94's user avatar
  • 260