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What is the relationship between the radius and period when talking about the rotation of planets?

Answer 1

In case of earth the speed is 40070K meters divided by 24 hours.
1670 kilometer per hour.

At 45 degrees latitude, this will be cos 45 x 1670 kilometers.0.707 x 1670.= 1180 kilometers per hour. As latitude decreases, speed also changes.

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Answer 2

Alice Andrews

Kepler's third law, which states that the square of the orbital period is directly proportional to the cube of the semi-major axis (radius) of the orbit, describes the relationship between the radius and period in planetary 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.