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We analyze the combined effect of Poynting-Robertson and solar wind drag onspace debris. We derive a model within Cartesian, Gaussian and Hamiltonianframeworks. We focus on the geosynchronous resonance, although the results canbe easily generalized to any resonance. By numerical and analytical techniques,we compute the drift in semi-major axis due to Poynting-Robertson and solarwind drag. After a linear stability analysis of the equilibria, we combine acareful investigation of the regular, resonant, chaotic behavior of the phasespace with a long-term propagation of a sample of initial conditions. Theresults strongly depend on the value of the area-to-mass ratio of the debris,which might show different dynamical behaviors: temporary capture or escapefrom the geosynchronous resonance, as well as temporary capture or escape fromsecondary resonances involving the rate of variation of the longitude of theSun. Such analysis shows that Poynting-Robertson and solar wind drag must betaken into account, when looking at the long-term behavior of space debris.Trapping or escape from the resonance can be used to place the debris inconvenient regions of the phase space.

Poynting-Robertson drag and solar wind in the space debris problem