4 citations · 8 across the 7 of their papers we have counts for
7 papers
On the Lambert problem with drag
Antonio J. Urena
The Lambert problem consists in connecting two given points in a given lapse of time under the gravitational influence of a fixed center. While this problem is very classical, we a…
How many Keplerian arcs are there between two points of spacetime?
Alain Albouy, Antonio J. Ureña
We consider the Keplerian arcs around a fixed Newtonian center joining two prescribed distinct positions in a prescribed flight time. We prove that, putting aside the "opposition c…
An antimaximum principle for periodic solutions of a forced oscillator
Alain Albouy, Antonio J. Ureña
Consider the equation of the linear oscillator , where the forcing term is -periodic and positive. We show that the existence of a periodic…
Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces
Anna Gołȩbiewska, Ernesto Pérez-Chavela, Sławomir Rybicki +1
We consider autonomous Newtonian systems with Coriolis forces in two and three dimensions and study the existence of branches of periodic orbits emanating from equilibria. We inves…
Some simple results about the Lambert problem
Alain Albouy, Antonio J. Urena
We give simple proofs of some simple statements concerning the Lambert problem. We first restate and reprove the known existence and uniqueness results for the Keplerian arc. We al…
A Poincaré-Birkhoff theorem for Hamiltonian flows on nonconvex domains
Alessandro Fonda, Antonio J. Ureña
We present a higher-dimensional version of the Poincaré-Birkhoff theorem which applies to Poincaré time maps of Hamiltonian systems. The maps under consideration are neither requir…
Dynamics of periodic second-order equations between an ordered pair of lower and upper solutions
Antonio J. Urena
We consider periodic second-order equations having an ordered pair of lower and upper solutions and show the existence of asymptotic trajectories heading towards the maximal and mi…