A small space probe is put into circular orbit about a newly discovered moon of Saturn. Themoons radius is known to be $550$ km$.$ If the probe orbits at a height of $1500$ km above themoons surface and takes $2\mathrm{.}00$ Earth days to make one orbit, determine a$)$ the moons mass,b$)$ the orbital speed of the space probe, and c$)$ the acceleration of the space probe.