30 citations · 147 across the 15 of their papers we have counts for
3 papers · 1 filter
Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
Luis C. García-Naranjo, Juan C. Marrero, Ernesto Pérez-Chavela +1
We classify and analyze the stability of all relative equilibria for the two-body problem in the hyperbolic space of dimension 2 and we formulate our results in terms of the intrin…
Gauge equivalence and conserved quantities for Lagrangian systems on Lie algebroids
J. F. Cariñena, Miguel Rodriguez-Olmos
We develop a theory of gauge and dynamical equivalence for Lagrangian systems on Lie algebroids, also studying its relationship with Noether and non-Noether conserved quantities.
Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations
Miguel Rodriguez-Olmos, M. Esmeralda Sousa-Dias
We apply geometric techniques to obtain the necessary and sufficient conditions on the existence and nonlinear stability of self-gravitating Riemann ellipsoids having at least two…