Sardar Vallabhbhai National Institute of Technology, Surat

SVNIT Surat B.Tech admission is done basis of JEE Main score followed by JoSAA/CSAB Counselling. The areas of specialization in the B.Tech programme along with the eligibility criteria and fee details are presented below: Eligibility Criteria: Class 12 pass in relevant stream from a recognized board.

Just go through this link and fill out the required details.
https://www.shiksha.com/college-predictor

Top 5 NITs are Trichy, Suratkal, Warangal, Calicut and Rourkela.

No there is no specific course such as astrophysics. So, according to me this college would not be as good for your passion to become an astrophysicist.

Hello Heidi, I am afraid that there is no sports quota for admission. But there are different types of quotas for admission to any NIT. I am attaching a link that will give you all the required information about different aspects of these quotas and how they operate. https://www.shiksha.com/b-tech/articles/jee-main-2014-understanding-quotas-reservations-and-categories-blogId-7760
Best wishes to you.

Hello Dangar Arati, you have mentioned your score but I am sure you would have definitely received information about your percentile from NTA. These days it's the percentile that mattes and not raw marks. To help you I am attaching a link that will predict the branch and the college that you can get based on your performance in JEE Mains examination.
https://www.shiksha.com/engineering/jee-main-college-predictor
Best wishes to you.