Hy,
Aerospace engineering is one of the primary and exciting fields ofengineering. It consists of the development of aircraftandspacecraft. It has two major and overlapping branches:aeronautical engineeringandastronauticalengineering.

Aeronautical engineering work with aircraft that stay within the earths atmosphere such as aeroplanes and helicopters. Astronautical engineering deals with aircraft that operate outside of the earths atmosphere such as rockets, satellites, spacecrafts, etc.)

Some top institutes are iits, rtu.
You can check this link out for further information

https://www.google.co.in/amp/s/www.embibe.com/exams/top-10-aerospace-engineering-colleges-in-india/amp/