“…Allowing the atmosphere and surface below the layer to be reflective with an effective albedo A, we apply a two-stream approach leading to (Twomey, 1977), with the cloud reflectance r= βτ µ 1 1+βτ/µ (Coakley and Chylek, 1975), the upscattered fraction of incident sunlight, β, the SW cloud optical depth, τ , and µ= cos θ . According to aircraft observations (Febvre et al, 2009) (Liou et al, 1990), since contrails do not act as perfect black bodies. The contrail layer reduces the outgoing LW flux in proportion to E,…”