Hamiltonian fingerprint functions for high-fidelity orbital data processing

Quasi-constant state functions associated to Earth-bound orbital motion are extremely valuable, especially in the field of space situational awareness (tracking of resident space objects, cataloguing, maneuver detection, …). Classical single-object indexes proposed in the literature (e.g. proper elements) are not completely satisfying mostly due to tessera harmonics perturbations (especially in LEO). On the other hand, classical two-object distance functions (e.g. Mahalanobis distance, D-criteria for meteor streams,...) are computationally problematic.
This seminar will present and discuss a new, single-object quasi-constant Hamiltonian "fingerprint function" developed by the author and his colleagues at UPM Space Dynamics Group with the initial goal of resident space objects cataloguing and maneuver detection, which can on the other hand open interesting avenues of applicability to the processing of very high accuracy orbital data aimed at fundamental physics and planetary science.