Aeronautical Engineering

Ruprecht-Karls-Universitt Heidelberg, Technische Universitt Mnchenand Ludwig Maximilian University of Munich, TU Berlin, Braunschweig University of Technology are Germany's top ranked universities for aeronautical engineering.

Check out the link for details :
https://www.shiksha.com/top-aeronautical-engineering-colleges-in-bangalore-rankingpage-49-0-0-278-0

Chennai has a good number of colleges where you can pursue aeronautical engineering.
Few of the colleges and universities are:(a) Satyabhama University
(b) Anna University
(c) Madras Institute of Technology
(d) PMR Institute of Technology (e) Hindustan Institute of Engineering and Technology.

It depends on you what's your inclination. You should go towards it. Both the fields have awesome opportunities.

You need to qualify JEE Advanced exam in order to pursue B.Tech in aeronautical engineering in IIT.

Check out the link mentioned below:
http://mitadmissions.org/apply/international/howto

Although both specialisation candidates may start on similar salaries. Aircraft Maintenance Engineers in full work life-cycle has potential to earn more in comparison to Flight dispatcher. Also AME can move in aircraft manufacturing or its ancillary companies.

Both aeronautical and mechanical engineering are excellent branches of engineering. Mechanical is an ever green branch for last 50 years with wide scope in all type of manufacturing & services industries and will continue to remain same in next 50 years. Aeronautical engineering is niche branch of engineering with relatively lesser scope in comparison to Mechanical engineering. However, Aeronautical engineering has more opportunities for R&D, innovation and scope to work on cutting edge technologies. You may chose of the any based on your interests to excel in your engineering career.

Yes, you are eligible to pursue aeronautical engineering. Even you are free to choose any engineering branch of your choice. However, lateral entry is not possible for other branches.