Hello Jahnavi ,

There are some very good college for pursuing aerospace engineering and will also give you a good exposure for your future as you want to work with NASA.

Some of the Undergraduate courses offering institutes are:

1. Indian Institute of Technology, Madras – B.Tech. in Aerospace Engineering
2. Indian Institute of Technology, Bombay – B.Tech. in Aerospace Engineering
3. Indian Institute of Technology, Kharagpur – B.Tech. in Aerospace Engineering
4. Indian Institute of Space Science and Technology, Thiruvananthapuram – B.Tech. in Aerospace Engineering/B.Tech. in Avionics
5. Indian Institute of Technology, Kanpur – B.Tech. in Aerospace Engineering
6. PEC University of Technology, Chandigarh – B.Tech. in Aeronautical Engineering

There some other good colleges also if you want to pursue post graduation in the same above specialization :

1. Indian Institute of Science, Bangalore – M.E. in Aerospace/ M.Sc. (Engg) in Aerospace
2. Indian Institute of Technology, Bombay – M.Tech. in Aerospace Engineering
3. Indian Institute of Technology, Madras – MS/M.Tech. in Aerospace Engineering
4. Madras Institute of Technology, Madras – M.E. Aeronautical Engineering/ M.E. Aerospace Technology
5. Indian Institute of Space Science and Technology, Thiruvananthapuram – M.Tech. in Aerodynamics and Flight Mechanics
6. Indian Institute of Technology, Kanpur – M.Tech. in Aerospace Engineering

If you want any further information regarding colleges , please feel free to ask.

Hope it helps.