Question

Suppose you observe a star orbiting the galactic center at a speed of 1500 km/s in a circular orbit with a radius of 16 light-days. Calculate the mass of the object that the star is orbiting.

Answer 1

Sokunan Mass of the object that stan is arbiting is calculate.by using formula m = ry where ra Radius of anbit = 16 light days V = Speed of anbit = 1500 x 103 m/s G = Gravitational constant = 667 x16" Nm762 -11 16 light days = 16 X 3X108 x 24x 3600 = 4.15X1014 m :m= (4.15X1044 ) x (1500x103)2 6,67 x 10" M = 1.3999X1037 kg This is mass of object Mooi = 1-3999 x1039 kg mass of sun Msun = 1.989x1030kg mobj Msun = 1.3999 x1037 1. 9 30 = 0.703833 2717 Most = (7-038336 X106) Msun, ise mass of object is approximately 7 milliams times the mass of the sun

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