Digital ACT Science Practice Question #1858

If a fifth satellite orbits Jupiter with an orbital period T = 14.3 days, its predicted semi-major axis r would be: Experiment Context (Orbital Dynamics of the Galilean Moons): Astronomers compiled semi-major axes (r, in thousands of km) and orbital periods (T, in Earth days) for Jupiter's four large Galilean satellites: Table 35: - Io: r = 422 x 10^3 km; Period T = 1.77 days; r^3 = 7.5 x 10^7; T^2 = 3.13; r^3 / T^2 = 2.40 x 10^7 - Europa: r = 671 x 10^3 km; Period T = 3.55 days; r^3 = 30.2 x 10^7; T^2 = 12.60; r^3 / T^2 = 2.40 x 10^7 - Ganymede: r = 1,070 x 10^3 km; Period T = 7.15 days; r^3 = 122.5 x 10^7; T^2 = 51.12; r^3 / T^2 = 2.40 x 10^7 - Callisto: r = 1,883 x 10^3 km; Period T = 16.69 days; r^3 = 667.7 x 10^7; T^2 = 278.55; r^3 / T^2 = 2.40 x 10^7