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Aerospace engineering is also known as aeronautical engineering.

You must appear for the Joint Entrance Exam Mains and Advanced to get admission in top engineering colleges for Aerospace engineering stream.

Any candidate who has passed or appearing for the 10+2 from a recognized stream can apply for the exam.

Questions asked is mainly from Physics, Chemistry and Mathematics.

Top institutes are:

1.Indi Institute of Technology Kanpur, Kharagpur, Bombay, Madras etc.

2.Indian Institute of Space Science and technology

3.IISC Bangalore

4.International Institute for Aerospace Engineering and Management.

Other colleges/Universities also provide aerospace engineering course such as
KCG university
Jaya engineering college,Chennai
Anna University
Amity University

To know completely about aerospace engineering go through this page

https://engineering.careers360.com/articles/aerospace-engineering-0

Hope this is helpful.