As instruments gain in precision, observations reveal an increasing diversity in the architecture of planetary systems. These complex orbital configurations reshape the structure of surrounding dust disks, leaving gravitational signatures. In return, disks serve as valuable records of the dynamic history of systems.
This work presents a general methodology that combines observational constraints (positions and velocities of bodies, disk morphology) with theoretical modeling, in order to estimate planetary orbits and explore the dynamical links between bodies and debris disks. The goal is to reconstruct the current state of these systems and better understand their dynamical evolution.
We applied our method to three systems illustrating different observational contexts: GG Tauri, where abundant positional data allow for precise orbital fitting; Beta Pictoris, a textbook case combining numerous constraints on planetary orbits and disk structure in a relatively simple architecture; and finally TWA7, a limiting case where only disk characteristics are accessible, yet still allow us to infer dynamical information.