Articolo in rivista, 2015, ENG, 10.1093/mnras/stv534

Chaos in navigation satellite orbits caused by the perturbed motion of the Moon

Aaron J. Rosengren, Elisa Maria Alessi, Alessandro Rossi, Giovanni B. Valsecchi

IFAC-CNR; IFAC-CNR; IFAC-CNR; IFAC-CNR e INAF-IAPS

Numerical simulations carried out over the past decade suggest that the orbits of the Global Navigation Satellite Systems are unstable, resulting in an apparent chaotic growth of the eccentricity. Here, we show that the irregular and haphazard character of these orbits reflects a similar irregularity in the orbits of many celestial bodies in our Solar system. We find that secular resonances, involving linear combinations of the frequencies of nodal and apsidal precession and the rate of regression of lunar nodes, occur in profusion so that the phase space is threaded by a devious stochastic web. As in all cases in the Solar system, chaos ensues where resonances overlap. These results may be significant for the analysis of disposal strategies for the four constellations in this precarious region of space.

Monthly notices of the Royal Astronomical Society (Print) 449 , pp. 3522–3526

Keywords

chaos, celestial mechanics, dynamical evolution and stability, planets and satellites, space debris, GNSS

CNR authors

Alessi Elisa Maria, Valsecchi Giovanni Battista, Rosengren Aaron, Rossi Alessandro

CNR institutes

IFAC – Istituto di fisica applicata "Nello Carrara"