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Explain why Kepler’s third law applies to the orbits of comets but not to the orbits of satellites.

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Kepler’s laws apply to objects that revolve around the Sun. Its complete form is: 

p2 = k a3 

where k is a proportionality constant. 

When this relation is applied to the Earth for which p = 1.0 y and a = 1.0 AU, k = 1.0 . 

Therefore, Kepler’s third law takes the form:

p2 = a3 but p must be expressed in years and a must be in AU and the object must revolve around the Sun rather than around a planet.

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