Hi Flori,
The probe was made up of two aprts, the Rosetta orbiter and the the lander.
The orbiter has a 2.2m wide communications dish which recieves radio waves from earth, they just take a whoile to get there. The oribiter acts like a communciation sateillite does here on earth, acting as a relay station to carry radio signals between earth and the lander on the comet’s surface. More info here: http://www.esa.int/Our_Activities/Space_Science/Rosetta
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