A)The ratio of the mass of the earth to the mass of the moon is 75.9. Assume tha

Question

A)The ratio of the mass of the earth to the mass of the moon is 75.9. Assume that the radius of the earth is about 6557.0 km and that the distance between the center of the earth and the moon is 383600.0 km . Determine the distance of the center of mass of the earth-moon system from the center of the earth.

B)The earth-moon system moves in a circular orbit around the sun. How far from the circular orbit does the center of the earth move radially (i.e. toward or away from the sun) during the lunar month

Points given for correct answer and explanation

Explanation / Answer

Let us consider earth moon system in coordinate system with earth at origin.

Distance of moon from center of earth=383600.0 km

A. Centre of mass=(Mede +Mmdm)/(Me+Mm)

                                =(75.9Mm*0 +Mm*383600)/(75.9Mm+Mm)

                                =4988.3 km from earth centre.

B. During a lunar month the earth move radially is equal to distance from centre of system.

                =4988.3 km

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