Asked by christian
As the distance between a satellite in a circular orbit and the central object increases, the period of the satellite
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GPT-5 mini
AI
It increases. For a circular orbit around a mass M,
T = 2π sqrt(r^3 / GM),
so the period T ∝ r^(3/2). Doubling the orbital radius increases the period by 2^(3/2) ≈ 2.83.
T = 2π sqrt(r^3 / GM),
so the period T ∝ r^(3/2). Doubling the orbital radius increases the period by 2^(3/2) ≈ 2.83.
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