30 citations · 112 across the 16 of their papers we have counts for
6 papers · 1 filter
Lagrange points of the restricted three-body problem in spaces of constant curvature
Miguel Ayala, Carlos Barrera-Anzaldo, Luis C. García-Naranjo
We continue the study initiated by Kilin ({\em Reg. Chaot. Dyn.} 4, (1999)) and by Martínez and Simó ({\em Celest. Mech. Dynam. Astronom.} 128, (2017)) on the classification and st…
Some remarks about the centre of mass of two particles in spaces of constant curvature
Luis C. García-Naranjo
The concept of centre of mass of two particles in 2D spaces of constant Gaussian curvature is discussed by recalling the notion of "relativistic rule of lever" introduced by Galper…
Attracting and repelling 2-body problems on a family of surfaces of constant curvature
Luis García-Naranjo, James Montaldi
We first provide a classification of the pure rotational motion of 2 particles on a sphere interacting via a repelling potential. This is achieved by providing a simple geometric e…
The geometry of nonholonomic Chaplygin systems revisited
Luis C. García-Naranjo, Juan C. Marrero
We consider nonholonomic Chaplygin systems and associate to them a tensor field on the shape space, that we term the gyroscopic tensor, and that measures the interplay betw…
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…
Nonholonomic LL systems on central extensions and the hydrodynamic Chaplygin sleigh with circulation
Luis C. García-Naranjo, Joris Vankerschaver
We consider nonholonomic systems whose configuration space is the central extension of a Lie group and have left invariant kinetic energy and constraints. We study the structure of…