Solution to Exercise 2

From Kepler's Laws we may conclude that in this case,

The gravitational constant is G = 6.6726 x 10 -8 cm3 g-1 s-2. Thus, the masses will be in grams if the velocities are in cm/s and the period in seconds. Inserting

v1 = 75 x 105 cm/s,
v2 = 100 x 105 cm/s,
P = 3 days = 3 x 24 x 60 x 60 = 2.592 x 105 seconds,

we obtain M1 + M2 = 3.31 x 1033 g, which is 1.67 solar masses.