You wish to place a geo-stationary satellite to study Jupiter's Great Red Spot,how high above the surface must it be placed? Possibly useful information:
Mass of Jupiter: 1.90 * 10²⁷ kg
Radius of Jupiter: 7.15 * 10⁷ m
Rotational Period: 9.925 h

Question

Quizplus · Accepted Answer

In order for a satellite to be geostationary, it must orbit at the same rate as the planet's rotation, which is 9.925 hours for Jupiter. Using the formula for geostationary orbit, we get:
radius = (G * (mass of Jupiter) * T^2 / (4 * pi^2))^(1/3) - (radius of Jupiter)
where G is the gravitational constant and T is the rotational period. Plugging in the values and solving for radius, we get:
radius = (6.6743 x 10^-11 N m^2 / kg^2 * (1.90 x 10^27 kg) * (9.925 x 3600 s)^2 / (4 * pi^2))^(1/3) - (7.15 x 10^7 m)
radius = 8.85 x 10^7 m
Therefore, the best choice is C.

You Wish to Place a Geo-Stationary Satellite to Study Jupiter's