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The conversion between equatorial (a, 8) and new galactic (/, b) coordinate systems involves the straightforward application of an IAU definition and some basic spherical trigonometry. Unfortunately, the common reference books (e.g., Allen 1973; Kraus 1966) do not quote the definition correctly and frequently copied computer algorithms (e.g., Ball 1969; Manchester and Gordon 1970), having incorporated this error, lead to an inconsistent forward-backward conversion and to errors of as much asdoi:10.1086/130508 fatcat:4b3h2vhoajbsdadrmsx7jx6lai