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HI ATUL,
for taking admission in any space science sub in top college the candidates must have passed class 10 with at least 70% aggegate in science and also class 12 (PCM) passed with at least 80% aggregate.
there is hardly any institute in india offering BE or BS in astronautical engg.
if u want u can go for aerospace or aeronautical engg or space engg. or roketry.(where AIEEE, IIT-JEE, ISAT,BITSAT, WB-JEE are required)If u fail to find admission into B.Tech (Astronautical Engineering), then nothing to worry, opt for B.E./B.Tech (Mechanical Engingineering) then you can opt for astronautical at M.Tech
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yes, its manadatory for part-time MBA too
Part Time - Admissions Print E-mail
Admission to the course
Process
Admission to this course is done at the institute level through a 2 step selection process (starting October every year)
Common Entrance Test (MH-CET)
Group Discussion (GD)
CET is a multiple-choice objective test evaluating the aptitude of the student in various areas like verbal ability, quantitative aptitude, logic, visual reasoning, reading comprehension and data interpretation.
Test is followed by a GD round after which the candidate is finally selected.
Notification for the same is put up on the website as well as published in leading newspapers in October or november
Click here for current year notification for admission.
Eligibility
In order to secure admission to first year of three-year part time MMS course, the candidate should fulfill the following eligibility criteria:
Passed in any full time Bachelors degree of minimum three years duration in any discipline recognised by the Association of Indian Universities
OR
Passed Graduate Examination in Industrial Engineering, Mumbai and who have subsequently qualified in the GATE examination conducted by IITs

AICTE recognition mean before an engineering college start taking approval from state govt. and state technical university they should fulfill basic requirements for starting an engineering college. AICTE check those minimum conditions at the beginning and gives its approval. Once a college gets an approval from AICTE they can associate themselves with the state technological university for start taking students for Engineering studies.
As AICTE grown big in years, it became highly difficult to have a constant check on the quality of education in approved colleges and on the same time assesse the new application for starting engineering colleges. To deal with AICTE established an autonomous body known as NBA to have periodic evaluations of Engineering Colleges & courses according to specified norms and standards as recommended by AICTE. It has the full authority to recognize or derecognize institutions and programmes under them.

Hi Jayul,
It seems that you are interested in pursuing your MS in Mechanical from Germany. Germany is one of the countries known for technological advancements. Few good universities that you can look for are
Hochschule Albstadt-Sigmaringen,
RWTH Aachen University,
Esslingen University of Applied Sciences,
University of Applied Sciences Ingolstadt,
University of Applied Sciences Landshut, etc.
For admission you might have to give GRE and IELTS / TOEFL.
Also I would suggest you if possible go for a German language course. It may not be mandatory for you to learn the language for the course but will help you to find a part time job. A student in Germany can work 90 full days or 180 half days.
Hope this helps.
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Thanks
All The Best!