Hello there!

In aerospace engineering, students learn about professionals design, building, testing and maintenance of civil aircraft, missiles, space shuttles, rockets, space stations and other such units. Aerospace is a broad field and also comprises subjects that are taught under the aeronautical engineering course.
In aeronautical engineering, it is a field of Aerospace Engineering. It can also be understood as a specialisation of in the field of aerospace. This field of engineering comprises the study of designing and building aircraft such as aeroplanes and helicopters.

Here's a link for aerospace engineering colleges in India
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/colleges/list-of-aerospace-engineering-colleges-in-india&ved=2ahUKEwjp0JuRkMLpAhU7lEsFHWVtCNcQFjABegQIDhAH&usg=AOvVaw1aH-H8XDqDyazzm5pTe675

Here's a link for aeronautical engineering colleges in India

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/colleges/list-of-aeronautical-engineering-colleges-in-india&ved=2ahUKEwjG75CUkMLpAhUVXSsKHdToD_4QFjAAegQIAhAB&usg=AOvVaw1GQ4bGg9mW1MfF4iW9ozzt


Hope it helps you

goodluck!