Hi dear,

         Both  Indian Institute of technology and Indian Institute of Space Science and Technology are most prestigious institutes of the country.

Out of these two you should go for Indian Institute of Space Science and Research for Aerospace Engineering.Faculty Members of Aerospace Engineering at IIST are graduates of reputed Institutions and have good work experience.They are supported by experienced and competent technical staff. Even Aerospace Engineering Department of IIST has set up several laboratories including instructional and research labs.

Hope this helps