The behavior of asymptotically flat Einstein-Maxwell fields is studied in generalized coordinates u, r, θ and φ that become null-spherical only at infinity. The field equations satisfied by the metric and the electromagnetic tensors are derived in the first and second approximations, i.e., for the first and second non-zero powers of r^<-1> in the Einstein and Maxwell equations. The peeling property of the tetrad components of the Weyl and the electromagnetic tensors is established for arbitrary tetrad. From the Landau-Lifshitz complex the energy and linear momentum radiated per unit time by the gravitational and the electromagnetic fields are expressed in terms of the gravitational and electromagnetic news functions in the generalized coordinates. Finally the transformations which preserve the form of the metric are examined.