Question

Where is the centre of mass of the Earth-moon system?

Answer 1

Hint: Here, the first step in finding the centre of mass is to determine the mass of each body. We know that the mass of the Earth is much greater than the mass of the moon, so it is more difficult to find the exact centre.

Complete step by step solution:
The radius of the Earth is approximately 6,400 kilometres. As a result, the Earth-moon system's centre of mass is located inside the planet, approximately 1,700 kilometres below the surface. Both Earth and the moon revolve around the sun around this subterranean point. This is the approximate location, not exact. In general, we can say that the mass of earth is approximately 81 times that of the moon. Therefore, the centre of mass of the Earth-moon system is relatively close to the earth.

Also, the moon looks to revolve around the Earth, but in actuality, both revolve around a common centre of mass. Because the earth's mass is much greater than that of the moon, the centre of mass of the earth-moon system is located within the earth. The earth-moon system's centre of mass orbits the sun in an elliptical orbit.

Note: The centre of mass of the Earth-moon system is located somewhere between the two bodies. It is not possible to find the exact centre, but we can approximate its location by using the laws of physics. By understanding the dynamics of the system, we can better understand the movements of the Earth and moon.