In year 1993 the spacecraft Galileo sent home an image of asteroid 243 Ida and an orbiting tiny moon (now termed as Dactyl), the first confirmed illustration of an asteroid moon system. Other such systems encompass since been discovered. Suppose an asteroid's moon is 1.3 km wide, and that its center is 100 km from the center of the asteroid, that is 55 km long. The moon's orbit is circular having a period of 20 h.
The volume of asteroid is around 14,100 km3. Determine the density of the asteroid?