In retrospect, we probably should have insisted that people who name planets, moons, and other celestial objects know their mythology a little better. 

We probably can’t do much about the balance of names for the 5 ancient planets, all of whose names come from the Roman: Mercury, Venus, Mars, Jupiter and Saturn. Then Herschel discovers a planet and calls it “the Georgium Sidus” (the Georgian planet, after King George the third. A German astronomer called Johann Bode, decided it should conform with the other planetary name, so called it Uranus, because Jupiter was the son of Saturn and Saturn the son of … Caelus. Caelus is the Roman equivalent of Uranus, just as Jupiter is the Roman equivalent of Zeus.

Thereafter, we went back to the Romans for the next two - Neptune and Pluto. So we had 7 Romans and a Greek. It gets worse. In my poem on Saturn, I have the narrator on Titan, the largest moon of Saturn (and the second largest in the solar system.) According to Wikipedia (as of 27/11/2022) Saturn has 83 moons not embedded in its rings, although only 13 have a diameter of greater than 50km. Lets just stick to the 8 that were found using optical telescopes: Titan,Tethys, Dione, Rhea, Iapetus, Mimas, Enceladus, and Hyperion. Here the problems multiply.

First of all, Titan is not a god, Greek or Roman. In Greek mythology, Uranus and Gaea initially have 12 children, collectively called Titans. Tethys, Rhea, Iapetus and Hyperion are three of them.
Dione was a cult parter of Zeus, possibly an older version of Hera, so definitely not a Titan. Mimas and Enceladus were Giants, son of Gaea using the blood of Uranus after he was castrated by his Titan son Chronus (Saturn). At least they were all Greek, and all sons of Gaea and (sort of) Uranus.

Anyone with a logical mind would have labelled the first 12 discovered moons of Saturn after Chronos’ children - you’d need to leave out Zeus (Jupiter), Ares (Mars), and probably Hades (Pluto) and Poseidon (Neptune) although they were discovered later.  But you would still have Hera, Hestia, Demeter, Hephaestus, Hebe, Eieithyia, Eyo and Eris. That would be 8 moons of Saturn, named in Greek.

You could even have been more logical -  call the planets all the Roman names, so instead of Uranus we would have Caelus, and then name his moons the names of the Titans (and when you run out of them, continue with the Giants and then the three cyclopes and three 50-headed sons.

The other strange thing is the lack of female representation. Juno (Hera), Diana (Artemis) and Minerva (Athena) were all Goddesses to be reckoned with, yet only Venus (Aphrodite) gets a look in. The next best is Ceres (Demeter) who gets a big asteroid. Smaller asteroids include Hera, Artemis and Athene. 

Are we surprised? The Greek and Roman cultures were predominantly patriarchal. So was European culture when we started discovering new planets. But as we discover new worlds, perhaps we can start having a more equal balance.