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Relative Equilibria of the $(1+N)$-Vortex Problem
Relative Equilibria $(1+N)$-Vortex Problem
2011/1/18
We examine existence and stability of relative equilibria of the n-vortex problem specialized to the case where N vortices have small and equal circulation and one vortex has large circulation.
On the stability of Hamiltonian relative equilibria with non-trivial isotropy
Hamiltonian relative equilibria with non-trivial isotropy
2010/11/11
We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of positive dimension. The stability of such relative equilibria has been studied by Ortega and Ratiu and ...
STABILITY OF THE RELATIVE EQUILIBRIA IN THE GENERALIZED J2 PROBLEM
celestial bodies dynamical systems potential function
2009/3/18
For a large class of concrete astronomical situations, the motion
of celestial bodies is modelled by dynamical systems associated to a potential function
α/r + εU (r = distance between particles, α ...