The characters are colonists of the Epsilon Indi system. I collected some data on this solar system, and it does seem to be a real solar system with planets and stuff. Pretty interesting, but also complex.
As of right now, Epsilon Indi has 3 known objects in orbit. There are a pair of brown dwarfs at 1460 AU from the star and hints that a Jupiter-like planet orbits the star. The most recent data indicates this Jupiter Analog is between 8.5 and 16 or 17 AU from its host star.
Heaven help me if they discover more companions to this star, because I went and invented a bunch of my own.
This is a chart of my fictional system:
This chart obviously has no scale and is wildly different than the actual system. I decided that the colonists have named the planets after Roman gods, specifically from the list Di selecti by Varro. The brown dwarfs are named after Sabine gods, as Varro was of Sabine descent. This has created an in-universe problem where if the colonies wish to continue the practice, they must reuse some names of the Earth's Solar System. That would be confusing, so the naming process stopped at the seventh planet.
The characters are bound for the eighth unnamed planet. Their ship's AI thinks that the humans are being dumb and cheekily names the eighth and ninth planets Urbian-Adams and Kawal, for astronomers responsible for discoveries in our Solar System. It wouldn't do to have an adventure around an unnamed planet.
The system is full of tiny planets, only Iuno Regina, the Jupiter Analog and Urbian-Adams are bigger than Earth. The smaller bodies in grey are airless. The blue body is Terra Mater. It has a earth-like atmosphere, made up of CO2 and nitrogen. There is a small moon, Bacchus which has a very dense nitrogen based atmosphere at a higher pressure than Earth's.
If you would like to use this template for your writing or your games, feel free to download the Google Drawing from my drive.