# Kepler's Laws of Planetary Motion/Historical Note

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## Historical Note

Kepler derived his three laws of planetary motion in the early $1600$s from a concentrated study over the course of $20$ years of the colossal wealth of observational data which had been made previously by Tycho Brahe of the behavior of the planets of the solar system, and in particular Mars.

The first two of these results he published in his gigantic work *Astronomia Nova*.

The third appears some ten years later in his *Harmonices Mundi* of $1619$.

It was Isaac Newton who managed to interpret these three laws and so work out what is now known as Newton's Law of Universal Gravitation, from which Kepler's laws can straightforwardly be derived.

## Sources

- 1972: George F. Simmons:
*Differential Equations*... (previous) ... (next): $\S 3.21$: Newton's Law of Gravitation: Footnote - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.10$: Kepler ($1571$ – $1630$) - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $8$: The System of the World: Kepler