A polarized atomic beam source was developed for the polarized internal storage-cell gas target at the magnet spectrometer ANKE of COSY-J"ulich. The intensities of the beams injected into the storage cell, measured with a compression tube, are hydrogen atoms/s (two hyperfine states) and deuterium atoms/s (three hyperfine states). For the hydrogen beam the achieved vector polarizations are $p_{\rm z}\approx\pm0.92$. For the deuterium beam, the obtained combinations of vector and tensor () polarizations are (with a constant ), and or $p_{\rm zz}=-1.71p_{\rm z}$). The paper includes a detailed technical description of the apparatus and of the investigations performed during the development.

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