  After having left the heliosphere, Voyager 1 and Voyager 2 continue to travel
through interstellar space. The Pioneer 10, Pioneer 11, and New Horizons
spacecraft are also on paths to pass the heliopause. These spacecraft have
communicated with the Deep Station Network (DSN) radio antennas in order to
download scientific data and telemetry data. Outward transmissions from DSN
travel to the spacecraft and beyond into interstellar space. These
transmissions have encountered and will encounter other stars, introducing the
possibility that intelligent life in other solar systems will encounter our
terrestrial transmissions. We use the beamwidth of the transmissions between
DSN and interstellar spacecraft to perform a search around the past and future
positions of each spacecraft obtained from the JPL Horizons System. By
performing this search over the Gaia Catalogue of Nearby Stars (GCNS), a
catalogue of precisely mapped stars within 100 pc, we determine which stars the
transmissions of these spacecraft will encounter. We highlight stars that are
in the background of DSN transmissions and calculate the dates of these
encounters to determine the time and place for potential intelligent
extraterrestrial life to encounter terrestrial transmissions.
