Projecte ofert
Títol: Dynamical Structures and Resonant Behavior in the Hilda Asteroid Population
Per assignar-vos el projecte us heu de dirigir al director/a perquè us l'assigni.
Director/a: RODRÍGUEZ DEL RÍO, ÓSCAR
Departament: MAT
Títol: Dynamical Structures and Resonant Behavior in the Hilda Asteroid Population
Data inici oferta: 02-02-2026 Data finalització oferta: 02-02-2026
Estudis d'assignació del projecte:
DG ENG AERO/SIS TEL- DG ENG AERO/TELEMÀT
- DG ENG SISTE/TELEMÀT
| Tipus: Individual | |
| Lloc de realització: EETAC | |
| Paraules clau: | |
| Frequency analysis, Orbital dynamics, Numerical Simulation | |
| Descripció del contingut i pla d'activitats: | |
| This project invites the student to explore the Hilda asteroids-one of the most intriguing dynamical families in the Solar System-through the lens of modern dynamical systems theory. The Hildas occupy a 3:2 mean-motion resonance with Jupiter, completing three orbits around the Sun for every two of Jupiter's. Far from being a simple orbital coincidence, this resonance creates a rich dynamical environment shaped by stability islands, resonant libration, and long-term protective mechanisms that prevent close encounters with the giant planet.
The student will investigate how the 3:2 resonance structures the motion of the Hildas, why their orbits cluster into characteristic triangular configurations in a rotating reference frame, and how invariant manifolds and resonant tori organize their long-term evolution. Using numerical simulations and phase-space analysis, the project will examine the stability of these orbits, the role of Jupiter's perturbations, and the subtle interplay between resonance, eccentricity, and inclination. The work may also explore how non-gravitational effects-such as the Yarkovsky drift-interact with the resonant web, potentially transporting objects into or out of the Hilda region. By comparing different dynamical models (from simplified restricted three-body formulations to more complete N-body integrations), the student will evaluate which structures are robust and which depend sensitively on model assumptions. This is an ideal project for a student interested in celestial mechanics, resonant dynamics, and the geometric structures that shape the architecture of the Solar System. The Hilda group offers a natural laboratory where theory, simulation, and dynamical intuition come together beautifully. |
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