You can get a job in ISRO provided you have studied in the Indian Institute of Space Science and Technology ( IIST) but again there is a condition, your CGPA scale should not be less than 7.5.
Astrophysics can be undertaken in IIST with the choice of Astronomy as one of elective papers. Astrophysics can be considered a branch of Astronomy dealing with the principals of Physics with the application of Mathematics to arrive at the final results. This branch tends to be more theoretical oriented and would go on extensive studies of the combination of Physics, Mathematics, Statistics and other computer programming. This branch relates to the studies of Physical properties of stars like nebula and other objects of the universe. They would undertake the detailed inherent properties of stars like temperature, density, luminousity, chemical and metallic composition. They make different mathematical models with the computers helping them in their projects.
Students from IIST have their special preference suiting to their projects and particularly the Physicists have better understanding of the natural law of universe and galaxies.
They would be required to show their extraordinary potentials in the final interview consisting of several experts.
Yes, you can proceed your research activities on theoretical basis provided you have strong fundamentals in Physics, Statistics and Mathematics. In ISRO, you would be encouraged to carry on research work.
The recruited students would sustain their projects in their alloted ISRO centre or DOS centre.