After about a month of waiting, the probes sent back the information gathered on their trip, which was then compiled into maps:

Note that the moons have been given temporary names. The same naming scheme can be assumed for the gas planet moons.

Here is a more complete map, including the last two gas giants in the system, and the paths taken by probes Hudson I and Hudson II. If you look closely at Eos, you'll notice a purple-ish glow on the dark side of the planet. That is charged xenon gas as a result of an electrical storm that broke loose in Eos' atmosphere.
Hudson II is expected to reach the system where Gigyes was found in approximately 1 month. You can expect that system map to come around by January 2043.
In other news, Archelios military researchers and developers will be releasing and putting in production a new fighter-attack aircraft that has been in development long before the country was established.