Greetings
There is difference between the two.
The basic difference is aeronautical engineering would focus solely on those vehicles that fly within the Earth's atmosphere.
Where as 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.
Both the courses have very bright future in India as well as in foreign countries.
Regards
All the best for your future.