What does the earth rotate around?

Answer 1

The Earth-Moon Barycenter.

Since the Moon's mass is only 0.0123 that of the Earth, it does not orbit the Earth; rather, the Earth and the Moon orbit around their respective centers of mass, known as the Earth-Moon barycentre.

With an approximate radius of 6,400 km, the barycentre is located approximately 4,700 km from the Earth's center, which is still inside the planet.

This leads to the Earth's orbit around the Sun being replaced by the barycentre's orbit around the Sun.

To put it one step further, the Sun and every planet revolve around the solar system barycentre, which is a point slightly above the Sun that serves as the system's center of mass.

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Answer 2

Luke Allen

The Earth's axis is the center of rotation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.