60 citations · 63 across the 4 of their papers we have counts for
4 papers
Parametric Resonance of a charged pendulum with suspension point oscillating between two vertical charged lines
A. C. Carvalho, H. E. Cabral, G. C. Araujo
In this work, we study a mathematical planar pendulum whose support point is positioned equidistant between two vertical and uniformly electrically charged wires. Its bob carries a…
Some Problems on the Classical N-Body Problem
Alain Albouy, Hildeberto E. Cabral, Alan A. Santos
Our idea is to imitate Smale's list of problems, in a restricted domain of mathematical aspects of Celestial Mechanics. All the problems are on the n-body problem, some with differ…
On stacked central configuration of the planar coorbital satellites problem
Allyson Oliveira, Hildeberto Cabral
In this work we look for central configurations of the planar 1 + n body problem such that, after the addition of one or two satellites, we have a new planar central configuration.…
On the fixed homogeneous circle problem
C. Azevedo, H. Cabral, P. Ontaneda
We give some results about the dynamics of a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. Our main…