An example set of astrometric results from the 0.9 m long-term program for our twin stars RTW 0933–4353 A and B, using nightly mean points averaged from the multiframe visits. The positional residuals in R.A. (top) and decl. (bottom) after fitting for parallactic motion and proper motion are shown, along with informative statistics and dashed lines at zero. The insets specify the observation filter and data time span. An additional unseen companion could present itself in these photocenter measurements as orbital motion if it existed. The absence of such motions in these data is therefore consistent with neither component hosting an unresolved companion down to the measurement limits, which typically reach to low-mass brown dwarf companions in most orbits out to several times the duration of the time series.