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From what I know, to communicate with Earth, a space probe locates signals sent from Earth and then sends data (in that direction). For probes that are several light hours away (Voyagers, New Horizons), however, the Earth will rotate (and with it, the locations of the DSN arrays will change).
Is the spot size of these communication signals large enough to compensate for this movement? Or does the probe need to calculate where the next available array will be, and make small adjustments?