Obviously a poor connection being made-good by the rocking movement. There's a remote possibility that it could be inside the set but it's far more likely to be the free-plug on the end of the aerial cable (the one that connects to the back of the TV) that needs attention.
If the cable is short - 3 to 6 feet you might consider buying a new ready-made one - else dismantle the one you have and re-make the end.
To check it out leave the TV alone and just wobble the aerial wire slightly - then you'll know.
Good luck...
Peccavi
June 2009