So long as you don't enter the square with the sun in it, you won't be harmed at all.
Weylin vi Cron Year 15 Day 45 0:30
Answered in DM. Long story short, you'll be fine.
Jereen Tavqus Year 15 Day 45 0:06
I am picking up a ship for a job and it is in the square right next to the systems sun, it has sustatuned some damge so I am wondering will it kill me to rush in and pick it up in a C-3? Will it damage the ship???