We analyze the combined effect of Poynting-Robertson and solar wind drag on space debris. We derive a model within Cartesian, Gaussian and Hamiltonian frameworks. We focus on the geosynchronous resonance, although the results can be easily generalized to any resonance. By numerical and analytical techniques, we compute the drift in semi-major axis due to Poynting-Robertson and solar wind drag. After a linear stability analysis of the equilibria, we combine a careful investigation of the regular, resonant, chaotic behavior of the phase space with a long-term propagation of a sample of initial conditions. The results strongly depend on the value of the areato-mass ratio of the debris, which might show different dynamical behaviors: temporary capture or escape from the geosynchronous resonance, as well as temporary capture or escape from secondary resonances involving the rate of variation of the longitude of the Sun. Such analysis shows that Poynting-Robertson and solar wind drag must be taken 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 in convenient regions of the phase space.keywords Poynting-Robertson effect, Solar wind, Geostationary orbit, Space debris 1 consider several models as well as a different hierarchy of the forces which contribute to shape the dynamics. For example, it was widely shown (see, e.g., , Kuznetsov (2011 and references therein) that the effect of solar radiation pressure on GEO and MEO objects is more relevant for larger area-to-mass ratios. The dissipative contribution due to Poynting-Robertson and solar wind is definitely considered much less important. However, such dissipative effects might become relevant on micro-meter size particles as well on large area-to-mass ratio space debris (various objects with high area-to-mass ratios are described, e.g., in Früh & Schildknecht (2012)).The aim of the current study is to settle the question of the role of Poynting-Robertson and solar wind (hereafter PR/SW) drag on space debris dynamics. The relevance of this question stems from the consideration that the drag might provoke a drift of the debris towards space regions where operating satellites are placed. To avoid collisions with functional satellites and a consequent possible generation of further debris, it is crucial to have a full control of the dynamics of space debris, including the prediction over long time scales of minor, but still relevant, effects like PR/SW. Our study shows that not only Poynting-Robertson drag, but also solar wind drag, are prominent forces that need to be included in the model to get an accurate estimate of the drift of space debris in the near-Earth environment.The first studies on the Poynting-Robertson effect in the artificial satellite problem date back to Slabinski (1980Slabinski ( , 1983, where the author states that the semi-major axis of a near synchronous satellite with small area-to-mass ratio can decrease at a rate of about 1 mt/yr. The secular evolution of...