Question

Course Contents > Homework >> Homework Set # 7 ( due ... >> Period of Sattellites • Timer Notes Evaluate Feedback Print o ir The paths of two small satellites, M1 = 6.00 kg and M2 = 3.00 kg, are shown below, drawn to scale, with M1 corresponding to the circular orbit. They orbit around a massive star, also shown below. The orbits are in the plane of the paper. The period of M1 is T1 = 22.0 years. Calculate the period of M2, in years. Submit Answer Tries 0/20

Answer 1

Given,

M₁ = 6 kg and M₂ = 3 kg

T₁ = 22 years

We know,

T $\alpha$ R^3/2

T₂ / T₁ = (R₂ / R₁)^3/2

Where R₁ is the radius of the smaller circular orbit, R₁ = 2 and

R₂ is the radius of the bigger circular orbit, R₂ = 5 units

T₂  = (R₂ / R₁)^3/2 * T₁

T₂ = (5 / 2)^3/2 * 22

T₂ = 86.96 years