The increasing threat raised by space debris led to the development of different
mathematical models and approaches to investigate the dynamics of small particles orbiting …

Analytical solutions to the orbital motion of celestial objects have been nowadays mostly
replaced by numerical solutions, but they are still irreplaceable whenever speed is to be …

Satellite collisions or fragmentations generate a huge number of space debris; over time, the
fragments might get dispersed, making it difficult to associate them to the configuration at …

Proper elements represent a dynamical fingerprint of an object's inherent state and have
been used by small-body taxonomists in characterizing asteroid families. Being linked to the …

In this work the orbital dynamics of Earth satellites about the geosynchronous altitude are
explored, with primary goal to assess current mitigation guidelines as well as to discuss the …

Proper elements are quasi-invariants of a Hamiltonian system, obtained through a
normalization procedure. Proper elements have been successfully used to identify families …

We study the presence of resonances in the region of space around the Earth. We consider
a massless body (eg, a dust particle or a small space debris) subject to different forces: the …

The focus of this paper is on inclination-only dependent lunisolar resonances, which shape
the dynamics of a MEO (Medium Earth Orbit) object over secular time scales (ie several …

Observational evidence of white dwarf planetary systems is dominated by the remains of exo-
asteroids through accreted metals, debris discs, and orbiting planetesimals. However, exo …

The aim of this work is to analyze the orbital evolution of the mean eccentricity given by the
Two-Line Elements (TLE) set of the Molniya satellites constellation. The approach is bottom …