Óscar Rodríguez
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Óscar Rodríguez has a total of 21 co-authors. Here are the top co-authors by number of shared publications:
- Mercè Ollé
Universitat Politecnica de Catalunya
8 shared publications - Giovanni Federico Gronchi
Dipartimento di Matematica Università di Pisa Italy
5 shared publications - Giulio Baù
Dipartimento di Matematica, Università di Pisa, Pisa, Italy
5 shared publications - Jaume Soler
Universitat de Girona
5 shared publications - Robert Jedicke
Institute for Astronomy, University of Hawai‘i at Mānoa, Honolulu, HI 96822, USA
5 shared publications - Amadeu Delshams
Laboratory of Geometry and Dynamic Systems and IMTech, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
2 shared publications
Latest Publications
- 8 June 2026
- Published by Springer Nature in Celestial Mechanics and Dynamical Astronomy
- Vol. 138 (3)
The dynamical structure of the Earth co-orbital region and implications for the near-Earth asteroid population
- 8 June 2026
- Published by Springer Nature in Celestial Mechanics and Dynamical Astronomy
- Vol. 138 (3)
The dynamical structure of the Earth co-orbital region and implications for the near-Earth asteroid population
- Open Access
- 20 May 2026
- Published by Elsevier in Communications in Nonlinear Science and Numerical Simulation
- Vol. 161
Numerical behavior of families of n-ejection-collision orbits in the ERTBP
- 20 May 2026
- Published by Elsevier in Communications in Nonlinear Science and Numerical Simulation
- Vol. 161
Open AccessNumerical behavior of families of n-ejection-collision orbits in the ERTBP
- Open Access
- 20 November 2025
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 485
Breakdown of homoclinic orbits to L 1 of the hydrogen atom in a circularly polarized microwave field
- 20 November 2025
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 485
Open AccessBreakdown of homoclinic orbits to L 1 of the hydrogen atom in a circularly polarized microwave field
- Open Access
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP
The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there exists a family of stable periodic orbits that are surrounded by islands of quasi-periodic motions. We have computed the frequencies of these quasi-periodic motions and we have shown how the Hilda family fits inside these islands. We have compared these results with the ones obtained using the Elliptic Restricted Three-Body Problem and they are similar, showing the suitability of the CRTBP model. It turns out that, to decide if a given asteroid belongs to the Hilda class, it is much better to look at its frequencies in the planar CRTBP rather than to use two-body orbital elements as it is commonly done today.
Open AccessA dynamical study of Hilda asteroids in the Circular and Elliptic RTBP
The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there exists a family of stable periodic orbits that are surrounded by islands of quasi-periodic motions. We have computed the frequencies of these quasi-periodic motions and we have shown how the Hilda family fits inside these islands. We have compared these results with the ones obtained using the Elliptic Restricted Three-Body Problem and they are similar, showing the suitability of the CRTBP model. It turns out that, to decide if a given asteroid belongs to the Hilda class, it is much better to look at its frequencies in the planar CRTBP rather than to use two-body orbital elements as it is commonly done today.
- Open Access
- 1 December 2024
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 34 (12)
A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP
The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper, we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there exists a family of stable periodic orbits that are surrounded by islands of quasi-periodic motions. We have computed the frequencies of these quasi-periodic motions and we have shown how the Hilda family fits inside these islands. We have compared these results with the ones obtained using the Elliptic Restricted Three-Body Problem and they are similar, showing the suitability of the CRTBP model. It turns out that, to decide if a given asteroid belongs to the Hilda class, it is much better to look at its frequencies in the planar CRTBP rather than to use two-body orbital elements as it is commonly done today.
- 1 December 2024
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 34 (12)
Open AccessA dynamical study of Hilda asteroids in the Circular and Elliptic RTBP
The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper, we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there exists a family of stable periodic orbits that are surrounded by islands of quasi-periodic motions. We have computed the frequencies of these quasi-periodic motions and we have shown how the Hilda family fits inside these islands. We have compared these results with the ones obtained using the Elliptic Restricted Three-Body Problem and they are similar, showing the suitability of the CRTBP model. It turns out that, to decide if a given asteroid belongs to the Hilda class, it is much better to look at its frequencies in the planar CRTBP rather than to use two-body orbital elements as it is commonly done today.
- Open AccessBreakdown of homoclinic orbits to $L_1$ of the hydrogen atom in a circularly polarized microwave fieldWe consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a 2 d.o.f. Hamiltonian, which is a perturbation of size $K>0$ of the standard rotating Kepler problem. In a rotating frame, the largest chaotic region of this system lies around a center-saddle equilibrium point $L_1$ and its associated invariant manifolds. We compute the distance between stable and unstable manifolds of $L_1$ by means of a semi-analytical method, which consists of combining normal form, Melnikov, and averaging methods with numerical methods. Also, we introduce a new family of Hamiltonians, which we call Toy CP systems, to be able to compare our numerical results with the existing theoretical results in the literature. It should be noted that the distance between these stable and unstable manifolds is exponentially small in the perturbation parameter $K$ (in analogy with the $L_3$ libration point of the R3BP).Open AccessBreakdown of homoclinic orbits to $L_1$ of the hydrogen atom in a circularly polarized microwave fieldWe consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a 2 d.o.f. Hamiltonian, which is a perturbation of size $K>0$ of the standard rotating Kepler problem. In a rotating frame, the largest chaotic region of this system lies around a center-saddle equilibrium point $L_1$ and its associated invariant manifolds. We compute the distance between stable and unstable manifolds of $L_1$ by means of a semi-analytical method, which consists of combining normal form, Melnikov, and averaging methods with numerical methods. Also, we introduce a new family of Hamiltonians, which we call Toy CP systems, to be able to compare our numerical results with the existing theoretical results in the literature. It should be noted that the distance between these stable and unstable manifolds is exponentially small in the perturbation parameter $K$ (in analogy with the $L_3$ libration point of the R3BP).
- Open Access
- 19 January 2024
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 460
On the collision dynamics in a molecular model
- 19 January 2024
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 460
Open AccessOn the collision dynamics in a molecular model
- Open Access
Numerical behavior of the Keplerian Integral methods for initial orbit determination
We investigate the behaviour of two recent methods for the computation of preliminary orbits. These methods are based on the conservation laws of Kepler's problem, and enable the linkage of very short arcs of optical observations even when they are separated in time by a few years. Our analysis is performed using both synthetic and real data of 822 main belt asteroids. The differences between computed and true orbital elements have been analysed for the true linkages, as well as the occurrence of alternative solutions. Some metrics have been introduced to quantify the results, with the aim of discarding as many of the false linkages as possible and keeping the vast majority of true ones. These numerical experiments provide thresholds for the metrics which take advantage of the knowledge of the \emph{ground truth}: the values of these thresholds can be used in normal operation mode, when we do not know the correct values of the orbital elements and whether the linkages are true or false.
Open AccessNumerical behavior of the Keplerian Integral methods for initial orbit determination
We investigate the behaviour of two recent methods for the computation of preliminary orbits. These methods are based on the conservation laws of Kepler's problem, and enable the linkage of very short arcs of optical observations even when they are separated in time by a few years. Our analysis is performed using both synthetic and real data of 822 main belt asteroids. The differences between computed and true orbital elements have been analysed for the true linkages, as well as the occurrence of alternative solutions. Some metrics have been introduced to quantify the results, with the aim of discarding as many of the false linkages as possible and keeping the vast majority of true ones. These numerical experiments provide thresholds for the metrics which take advantage of the knowledge of the \emph{ground truth}: the values of these thresholds can be used in normal operation mode, when we do not know the correct values of the orbital elements and whether the linkages are true or false.
- Open Access
Linking tracklets over the years in large datasets
We present a new procedure to identify observations of known objects in large data sets of unlinked detections. It begins with a Keplerian integrals method that allows us to link two tracklets, computing preliminary orbits, even when the tracklets are separated in time by a few years. In the second step, we represent the results in a `graph' where the tracklets are the nodes and the preliminary orbits are the edges. Then, acceptable `3-cycles' are identified and a least squares orbit is computed for each of them. Finally, we construct sequences of $n \geq 4$ tracklets by searching through the orbits of nearby 3-cycles and attempting to attribute the remaining tracklets. We calculate the technique's efficiency at identifying unknown objects using real detections that attempt to mimic key parameters of the Minor Planet Center's Isolated Tracklet File (ITF) and then apply the procedure to the ITF to identify tens of thousands of new objects.Open AccessLinking tracklets over the years in large datasets
We present a new procedure to identify observations of known objects in large data sets of unlinked detections. It begins with a Keplerian integrals method that allows us to link two tracklets, computing preliminary orbits, even when the tracklets are separated in time by a few years. In the second step, we represent the results in a `graph' where the tracklets are the nodes and the preliminary orbits are the edges. Then, acceptable `3-cycles' are identified and a least squares orbit is computed for each of them. Finally, we construct sequences of $n \geq 4$ tracklets by searching through the orbits of nearby 3-cycles and attempting to attribute the remaining tracklets. We calculate the technique's efficiency at identifying unknown objects using real detections that attempt to mimic key parameters of the Minor Planet Center's Isolated Tracklet File (ITF) and then apply the procedure to the ITF to identify tens of thousands of new objects.