Just saw Jupiter’s moons in person for the first time

Got some new binoculars recently (12×50 binos) and went out stargazing tonight. Saw Aldebaran and the Hyades, saw the Moon up close, stuff that I’ve seen before, used them to focus up the binoculars properly. Then I looked at Jupiter. I saw a couple of really tiny dots just to the right, and then noticed a fainter one out to the left, a bit further away. Then it hit me that they were Jupiter’s moons. They’re the *moons* of another *planet* and I’m seeing them through binoculars. Is this how Galileo felt when he saw them for the first time?