188 citations · 682 across the 21 of their papers we have counts for
21 papers
Simulating central forces in the classroom
Juan M. Aguirregabiria
We describe the easy to customize and extend open source Java program Central force workbench that can be used in the classroom to simulate the motion of a particle (or a two-body…
Stability of the intrinsic energy vanishing in the Schwarzschild metric under a slow rotation
Juan M. Aguirregabiria, Ramon Lapiedra, Juan Antonio Morales-Lladosa
The linearized Kerr metric is considered and put in some Gauss coordinates which are further {\em intrinsic} ones. The linear and angular 4-momenta of this metric are calculated in…
Newtonian vs. relativistic chaotic scattering
Juan M. Aguirregabiria
It is shown that Newtonian mechanics is not appropriate to compute approximate individual trajectories with small velocities in chaotic scattering. However, some global properties…
Robust chaos with prescribed natural invariant measure and Lyapunov exponent
Juan M. Aguirregabiria
We extend in several ways a recently proposed method to construct one-dimensional chaotic maps with exactly known natural invariant measure [Sogo 1999, 2009]. First, we assume that…
Robust chaos with variable Lyapunov exponent in smooth one-dimensional maps
Juan M. Aguirregabiria
We present several new easy ways of generating smooth one-dimensional maps displaying robust chaos, i.e., chaos for whole intervals of the parameter. Unlike what happens with previ…
A Home Experiment in Elasticity
J. M. Aguirregabiria, A. Hernández, M. Rivas
We analyze a simple problem in elasticity: the \emph{initial} motion of an elastic bar that after being hanged from an end is suddenly released. In a second problem a point mass is…