Crownchasers by Rebecca Coffindaffer 

Alyssa Farshot has spent her whole life trying to outrun her family legacy. Her mother sacrificed everything to bring peace to the quadrant, and her uncle has successfully ruled as emperor for decades. But the last thing Alyssa wants is to follow in their footsteps as the next in line for the throne. Why would she choose to be trapped in a palace when she could be having wild adventures exploring a thousand-and-one planet in her own ship?… Read more.