No markings on the antenna? Is there a connector on the inside? Maybe take a picture of that.
It's skinnier than the WiFi booster antennas I have, but that doesn't mean all that much. Someone smarter might be able to have you measure the length of the antenna and determine whether it's right for a 2.4GHz or 5GHz signal.
You mentioned satellite. I'm pretty sure it's nothing satellite related. I'm still leaning towards a cellular antenna.