A research team has discovered that a moon is circling a planet of our solar system: The moon orbits the planet once every 7 hours on a nearly circular orbit in a distance R of 48000 km from
the center of the planet. Unfortunately, the mass m of the moon is not known. Use Newton’s law
of gravitation with G = 6:67 · 10−11 m3/(kg·s2) to approach the following questions:
F = G · mM
R2 (1)
(a) Based on the observations, determine the total mass M of the planet.
(b) Which moon and planet of our solar system is the team observing? (Use literature.)