  In this paper we provide an extensive analysis of the global dynamics of
high-area-to-mass ratios geosynchronous (GEO) space debris, applying a recent
technique developed by Cincotta et al. (2000), Mean Exponential Growth factor
of Nearby Orbits (MEGNO), which provides an efficient tool to investigate both
regular and chaotic components of the phase space. We compute a stability
atlas, for a large set of near-geosynchronous space debris by numerically
computing the MEGNO indicator, to provide an accurate understanding of the
location of stable and unstable orbits as well as the timescale of their
exponential divergence in case of chaotic motion. The results improve the
analysis presented in Breiter et al. (2005a) notably by considering the
particular case of high-area-to-mass ratios space debris. The results indicate
that chaotic orbits region can be highly relevant, especially for very high
area-to-mass ratios. Then, we provide some numerical investigations and an
analytical theory which lead to a detailed understanding of the resonance
structures appearing in the phase space. These analyses bring to the fore a
relevant class of secondary resonances on both sides of the well-known
pendulum-like pattern of geostationary space debris, leading to complex
dynamics of such objects.
