What is the Mass and Density of the Asteroid Ida and its Satellite?

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The asteroid Ida has a volume of 14,100 km³ and a satellite that orbits at a distance of 100 km with a period of 27 hours. To determine the mass of Ida, Kepler's 3rd Law can be applied, which relates the orbital period of a satellite to the mass of the primary body. The density of Ida can be calculated by dividing its mass by its volume. The satellite's size is noted to be 1.5 km wide. These calculations are essential for understanding the physical properties of asteroid Ida and its moon.
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Homework Statement


The asteroid Ida posses a satellite assume the period of the moon is 27 hrs the moon is 1.5 KM wide and orbits 100 KM from the asteroid Ida is 55 KM long what is the mass of Ida the volume of the asteroid is 14100 KM cubed what is the Density of the asteroid
 
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Kepler's 3rd Law?
 
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