The paths of two small satellites, M1 = 2.00 kg and M2 = 7.00 kg, are shown belo

Question

The paths of two small satellites, M1 = 2.00 kg and M2 = 7.00 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 = 28.0 years. Calculate the period of M2, in years.

The paths of two small satellites, M1 = 2.00 kg and M2 = 7.00 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 = 28.0 years. Calculate the period of M2, in years.

Explanation / Answer

T2 = T1 (a2/a1)3/2 = 28.0 * (5/2)3/2 = 111 years

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