Aerospace Engineering Major with PhD is Astronomy/Astrophysics?

I'm currently a high school senior, so its very possible I end up changing something. However, my current plan is to major in Aerospace Engineering for undergrad, and then get a PhD in Astronomy/Astrophysics. I'm curious to know what the job market would like for me after these degrees? Would I have a lot of trouble finding a job, or would I be able to make a solid career for myself?