In: Physics
Tidal Friction
For the calculations below, note that the Moon's mass is about 1/80th of the Earth's, so the total mass of the Earth-Moon system is essentially the Earth's mass.
(a) Once the Earth is in synchronous rotation with the Moon's orbit, what will be the semimajor axis (in km) of the Moon's orbit? Will it be inside or outside the Earth's Hill sphere?
(b) How large (in angular diameter) will the Moon appear in the Earth's sky once it's in synchronous orbit?