okgo said:The Attempt at a Solution
So does gMm/r^2 also measure centripetal acceleration?
Centripetal acceleration is calculated using the formula a = v^2/r, where a is the centripetal acceleration, v is the velocity of the satellite, and r is the distance between the satellite and the center of the moon.
Centripetal acceleration is typically measured in meters per second squared (m/s^2).
The mass of the satellite does not affect the centripetal acceleration. Only the velocity and distance from the center of the moon play a role in the calculation.
Centripetal acceleration and centripetal force are directly proportional to each other. This means that as the centripetal acceleration increases, so does the centripetal force required to maintain the circular motion of the satellite around the moon.
The distance between the moon and the satellite has an inverse relationship with the centripetal acceleration. This means that as the distance increases, the centripetal acceleration decreases.