What is the antenna connection on a European TV called?
The photo you posted of  connection on the back of your TV is odd. I do not recognize the connector labeled antenna, the connector for the satellite is a coaxial F connection and that is what typical antenna connectors are in the USA. Do you have the manual for the TV, can you tell us the model number. Possible your tv came with an adapter for this

It is possibly a Belling-Lee connector

Common in Europe and the Australia. 

if you are handy you can put a Belling-Lee connector on a coaxial cable. How to wire a Belling-Lee connector

I found this adapter to convert an f connector to a belling-lee.