Keplers Third Law: The Harmonic law which is mathematically stated as follows:
In the above P is the orbital period measured in years and A is the semi-major axis measured in units of AU (the distance from the earth to the Sun). This empirical expression sets the scale of the solar system. For instance, if I observe an object to have an orbital period of 8 years then I know that it must have a semi-major axis of 4 AU, by the above expression. This solution is shown below:
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