"NASA beaming Beatles tune to the stars"
Part of me thinks this is all simply a publicity stunt to benefit the release of the movie on DVD.
From the Wikipedia entry:
"Across the Universe" is a song by The Beatles that first appeared on a charity release in December 1969, and later, in modified form (bird sound effects were removed from the beginning and end and it was slowed down to its original speed), on their final album, Let It Be. The song features John Lennon singing lead, who was also the primary composer (though, as with all Beatles songs written by either composer, the song is credited to Lennon/McCartney).
The video makes use of the Phil Spector version (the first one I heard, and grew up hearing) -- full orchestra and chorus backing added to the February 1968 master.