In: Physics
NASA has launched a mission to a newly discovered object, spherical in shape.
A satellite is given a gravitationally driven circular orbit around the object. The altitude of the satellite in its orbit is equal to the radius of the object, and it takes 19.4 × 103 ??? for the satellite to complete one orbit.
At the same time, a rover lands on the surface of the object. NASA engineers notice one of the support arms on it is broken and is swinging like a pendulum. The arm is 1.50 ? long and the period of its swing is 7.30 ???.
What is the radius (in km) and mass (in kg) of this newly discovered object?