Center of mass problempluto and charon. pluto’s diameter is approximately 2370 km, and the diameter of itssatellite charon is 1250 km. although the distance varies, they are often about 19,700 kmapart, center to center. assuming that both pluto and charon have the same compositionand hence the same average density, find the location of the center of mass of this systemrelative to the center of pluto.