[36erhefg]

That is functionally a horrible design. Imagine a couple hundred solar systems. It is very likely that one will have exactly 8 planets with their 3rd planet being their home planet. And even if such a system doesn't exist, this map doesn't stand out at all. At a glance it could represent any solar system: "Hey, this map has planets and a sun. Which solar system is that? I have no idea." This introduces unnecessary confusion and possible conflicts.

Symbolic representation of a solar system is the most generic thing you can choose about a solar system. A flag should be something unique that stands out from other ones.