Dear Ajwed, talking both these courses, a degree in aerospace engineering and a degree in Aeronautical engineering both prepare students to design aircraft. Infact, Aeronautical engineering is a branch of aerospace engineering. Though the two degree programs teach similar engineering principles, there is a critical distinction between designing for air and space. 

Aerospace engineering is concerned with designing and building aircraft and spacecraft. Aerospace engineering can be divided into two specializations: aeronautical engineers, who handle aircraft, and astronautical engineers, who design spacecraft, according to the U.S. Bureau of Labor Statistics.

A bachelor's degree in aerospace engineering would likely include both specializations, whereas a bachelor's degree in aeronautical engineering would focus solely on those vehicles that fly within the Earth's atmosphere. Both options usually require students to take some similar courses, like dynamics, propulsion and fluid mechanics.

So, its always better to choose aerospace engineering as it includes both the branches and it has higher median pay than Aeronautical engineering.

Hope this helps :)

Feel free to ask for any query.