yes you are eligible for aeronatics after completing your diploma in eee. Eligibility criteria for aeronatics is you need to clear your b.tech in Aerospace, Aeronautical, Mechanical, Automobile, Chemical, Naval Architecture, Electrical, Electronics, Metallurgy & Material Science, Instrumentation, Mechatronics etc.

SCOPE FOR AERONATICS ARE:-

1.There is a good and many  scope in government branches as well as in defence also.

2.Aeronautical engineers can earn better in many companies such as MNC'S.

3.one can earn something big, like they can get the opertunities to work with NASA  also.

This is the glimpse of that course, and you can gof for this course. all the best have a great future ahead.