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Fig. 16

image

Angle and frequency space plots and residuals of the frequency space fits of all 15 streams for 1% distance (and proper motion) errors in the time-dependent potential. The streams are centred on the position of the centre of mass of the progenitor in the error-free case. The black points are error-convolved, while those in yellow are error-free and only shown in the bottom row. The residuals were computed by subtracting the best-fit straight line to the error-free frequency distribution (green line) from ΔΩφ. The text in the panels shows the relative difference in the slopes for the error-convolved and error-free cases derived in angle space Eθ and in frequency space EΩ (i.e. using the red vs. green straight lines, respectively). The panels for which Ei< 0.005 are marked with a green box. The difference in slope in angle space clearly is generally far below this value, while the frequencies are much more strongly affected by the errors.

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