Use the provided Python program "orbit.py" for two-body problem in General Relativity to simulate the orbits of the specified S-stars around Sgr A* (the central SMBH of the Milky Way) with mass of 4.3 million solar masses.
a) simulate the orbits of S14, S62 and S4714 star during 10 orbital periods, knowing that their semi-major axes a and eccentricities e are:
   - S14: a=2382 AU, e=0.9761,
   - S62: a=740 AU, e=0.976 and
   - S4714: a=841 AU, e=0.985
b) simulate the orbit of S4714 star during 150 orbital periods and discuss the shapes of relativistic orbits