The long-term evolution of space debris orbits under the effect of natural perturbations was studied.

As an output, the PlanODyn suite for orbit propagation through averaging techniques was developed. This allowed identifying orbital regimes characterised by complex dynamics due to the interaction of different perturbations.

It was thus possible to identify stable and unstable regions in the space of orbital elements. In the current state of the art particular focus is given to Geostationary and Low Earth Orbit regions, as space activities are mostly concentrated in these areas. In this research the search was extended to Highly Elliptical Orbits (HEOs) to investigate the interaction of luni-solar perturbation with the Earth’s oblateness. Through the single-averaged approach derived, the dynamics of HEOs can be propagated for long time-spans at high accuracy. This allows the analysis of the dynamical behaviour in terms of long-term evolution of eccentricity and anomaly of the perigee (see Fig. 1) to identify conditions for quasi-frozen, or long-lived libration orbits as preliminary design tool for graveyard or frozen orbit or natural re-entry trajectories at the end-of-life. The effect of orbit perturbations is fundamental when analysing the long-term evolution and stability of the motion of natural or artificial satellites in a planet-centered dynamics. In this project, the computation of transfer maps for repetitive dynamical systems was performed exploiting Differential Algebra (DA) techniques (based on high order Taylor expansion) as a novel approach to study the long-term evolution of satellites motion around the Earth. your dashboard.

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