Old Midland 77-857

So I dug out my late father's old CB, with a manufacturing plate that says it was assembled in September of 1976. Shame on me, I pulled the power cord out of the socket, and when I tried to plug it back in, the plastic socket cracked and sank into the radio.
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After I opened it up, I saw that two brown disc looking things (capacitors? my physics is fuzzy and I'm no electro-geek) were no longer connected at the power studs, one for positive and one for negative. After looking closer, the other end of each piece looks to be grounded to the radio chassis. Hunh. Okay, not really sure what these things do.
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After all this, just for the heck of it I put it back together and wired it up. What do you know? It worked. Anybody got any idea what those parts are, and if they do anything important that might cause the radio to puke in the near future?​

 

Thanks for the info. I should probably be more specific, in that my idiot brain decided that it would be a good idea to put it back together without soldering or otherwise attaching the broken points on the discs (capacitors?). So are you saying that even if I leave them broken as they are, I shouldn't have any problem with the radio?
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Thank you thank you!