Astronomy

Hello Sagar,
Astronomy is a very good subject of study and perhaps the best institute to study is IIAP. I am attaching link. Please go through it and then if there are any doubts in your mind please do not hesitate to ask.

Some of the top institutes which offer courses in Astronomy in India are as follows:
Indian Institute of Astrophysics, Bangalore (IIA),
Indian Institute of Science, Bangalore (IISc),
National Centre for Radio Astrophysics, Pune (NCRA-TIFR),
Inter-University Centre for Astronomy and Astrophysics, Pune (IUCAA),
Physical Research Laboratory, Ahamedabad (PRL),
Raman Research Institute, Bangalore (RRI)
There are many other institutes as well and you should explore your options before taking any decision to join an institute.

Some of the popular books on astronomy are as follows:
1) Space Encyclopedia: A Tour of Our Solar System.David A. Aguilar
2) There's No Place Like Space: All About Our solar systemTish Rabe, Aristides Ruiz
3) What We See in the Stars: An Illustrated Tour of the night skyKelsey Oseid

I could find only a few colleges for astrology in Hyderabad. You should explore online to find more such colleges.
1) Department of Jyothisha & Vaastu, Potti Sreeramulu Telugu University
Hyderabad, Telangana
2) Universal College of Astrology, Hyderabad

BE/B.Tech or equivalent qualification in first class with an aggregate minimum of 65% marks or CGPA 6.84/10 (average of all semesters for which results are available). Minimum of 65% marks or CGPA 6.84 in section B alone for candidates with AMIE/Grad IETE qualification.
Candidates who are going to complete the above course are also eligible to apply provided final degree is available. The qualification prescribed and the benchmarks are only the minimum requirement and fulfilling the same does not automatically make candidates eligible for Written Test.

Yes, check in US universities since they are very flexible.