Hey.
No BITS does not have Aeronautical engineering branch. Here is a list of all branches of BITS in each campus.

Pilani Campus

B.E.(Hons.) Mechanical Engineering
B.E.(Hons.) Manufacturing Engineering
B.E.(Hons.) Civil Engineering
B.E.(Hons.) Electrical and Electronics Engineering
B.E.(Hons.) Electronics and Instrumentation Engineering
B.E.(Hons.) Chemical Engineering
B.E.(Hons.) Computer Science

K K Birla Goa Campus

B.E.(Hons.) Mechanical Engineering
B.E.(Hons.) Manufacturing Engineering
B.E.(Hons.) Electrical and Electronics Engineering
B.E.(Hons.) Electronics and Instrumentation Engineering
B.E.(Hons.) Chemical Engineering
B.E.(Hons.) Computer Science

Hyderabad Campus

B.E.(Hons.) Mechanical Engineering
B.E.(Hons.) Manufacturing Engineering
B.E.(Hons.) Civil Engineering
B.E.(Hons.) Electrical and Electronics Engineering
B.E.(Hons.) Chemical Engineering
B.E.(Hons.) Computer Science

Dubai Campus

B.E. (Hons.) Computer Science
B.E. (Hons.) Electrical & Electronics Engineering
B.E. (Hons.) Electronics & Communication Engineering
B.E. (Hons.) Electronics & Instrumentation Engineering
B.E. (Hons.) Mechanical Engineering
B.E. (Hons.) Chemical Engineering
B.E. (Hons.) Biotechnology

Here is a list of top colleges with Aeronautical engineering.- 

IIT Bombay

IIT Kanpur

IIT Kharagpur

IIT Madras

PEC University of Technology, Chandigarh

Bengal Engineering and Science University

Manipal Institute of Technology, Karnataka

Amrita Institute of Technology and Sciences - Tamil Nadu

Sathyabama University

Acharya Institute of Technology

BITS Pilani

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