Telstar by the Tornados
Telstar - the satellite (thanks to Wikipedia)
I was 3 when Telstar came out, so I probably don't remember it when it was actually a hit record. But I heard it often enough as a small boy that it formed part of my experience of growing up. It was always my favourite. It was just so space age.
Read more at
http://historybooksreview.co.uk/telstar-tornados/