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We investigate the perihelion shift of the planetary motion and the bending of starlight in the Schwarzschild field modified by the presence of a Λ-term plus a conical defect. This analysis generalizes an earlier result obtained by Islam (Phys. Lett. A 97, 239, 1983) to the case of a pure cosmological constant. By using the experimental data we obtain that the parameter ε characterizing the conical defect is less than 10−9 and 10−7, respectively, on the length scales associated with such phenomena. In particular, if the defect is generated by a cosmic string, these values correspond to limits on the linear mass densities of 1019 g/cm and 1021 g/cm, respectively.