If the satellite and other inputs work fine on the TV set -- then the TV is likely to be ok.
What you may have is a defect in the PS3 since it provides no sound or picture to the TV set.
PS3 has HDMI and Component Audio/Video outputs, and it also has the OLD 3 wire RCA Video /Audio outputs.
Make sure you get picture and sound on the satellite and "other inputs" first, then try connecting the Sony PS3 to the TV set using the 3 wire RCA connection on it -- It's designed to ALWAYS have a signal coming out of that
This is the one I'm talking about -- the yellow white red connections.
If that works then try the COMPONENT cables -- you must turn off the HDMI On/Off setting in the Video output section of the PS3 menu first, you can do that with the 3 wire cable connected to the TV set.
Try the component cables next.....
Lastly, try the HDMI with the HDMI on/off setting on the PS3 turned back on.
This will verify if the Sony just locked up on you, or if the SONY is dead in the water.
But I am under the assumption that "the satellite and other inputs still work" means you are getting BOTH picture and sound on those connections.
Let me know what works and what doesn't.