7 citations · 17 across the 7 of their papers we have counts for
7 papers · 1 filter
On the periodic orbits of the circular double Sitnikov problem
H. Jiménez-Pérez, E. Lacomba
We introduce a restricted four body problem in a 2+2 configuration extending the classical Sitnikov problem to the Double Sitnikov problem. The secondary bodies are moving on the s…
Symplectic Regularization of Binary Collisions in the Circular N+2 Sitnikov Problem
H. Jiménez-Pérez, E. Lacomba
We present a brief overview of the regularizing transformations of the Kepler problem and we relate the Euler transformation with the symplectic structure of the phase space of the…
Energy levels of periodic solutions of the circular 2+2 Sitnikov problem
H. Jiménez-Pérez, E. Lacomba
We study a 2+2 body problem introduced in a previous paper as the circular double Sitnikov problem. Since the secondary bodies are moving on the same perpendicular line where evolv…
Interaction of point sources and vortices for incompressible planar fluids
Ernesto A. Lacomba
We consider a new system of differential equations which is at the same time gradient and locally Hamiltonian. It is obtained by just replacing a factor in the equations of interac…
On polygonal relative equilibria in the N-vortex problem
Martin Celli, Ernesto A. Lacomba, Ernesto Pérez-Chavela
Helmholtz's equations provide the motion of a system of N vortices which describes a planar incompressible fluid with zero viscosity. A relative equilibrium is a particular solutio…
Collisions of Four Point Vortices in the Plane
Antonio Hernández-Garduño, Ernesto A. Lacomba
This paper addresses the question of existence of (not necessarily self-similar) solutions to the 4-vortex problem that lead to total or partial collision. We begin by showing that…