I don't think that it's ever made clear what they call the days of the week, although as there's a "year fraction" component to the Imperial date, I'm not really sure that it's necessary to have weeks at all, just a notification of a particular year fraction. These fractions are measured as though from Terra, although the accuracy of that date (measured by the year's check number) may vary depending on the exact location and reliability of the planet and event concerned.
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