Two space-debris tracking satellites, X X\,X and YYY, are in stable circular orbits around Earth as shown in the diagram below.
Satellite X X\,X has mass m m\,m and orbits at a radius R R\,R from the center of Earth. Satellite Y Y\,Y has mass 2m and orbits at a radius 2R 2R\,2R from the center of Earth. Which statement is correct?
The orbital speed of satellite YYY is half that of satellite XXX.
The centripetal acceleration of satellite YYY is one-quarter of that of satellite XXX.
The gravitational force acting on satellite YYY is equal to that on satellite XXX.
The orbital period of satellite YYY is twice that of satellite XXX.