"The squares of the periodic times are to each other as the cubes of the mean distances"
About this Quote
The intent is precision with consequences: if you know a planet’s mean distance from the sun, you can infer its period, and vice versa. The ratio isn’t decorative; it’s a claim that the solar system is governed by a consistent mathematical architecture, not a collection of one-off divine gestures. “Squares” and “cubes” signal something deeper than arithmetic: the law bridges time (period) and space (distance) through a stable relationship, making celestial motion legible in the same way a well-designed map is legible.
The subtext is methodological bravado. Kepler is telling his readers that the heavens submit to measurement, and that the correct language for that submission is quantitative regularity. It’s also a diplomatic break from his own earlier mysticism: even if he loved cosmic music, he’s willing to let the numbers overrule the choir.
Context sharpens the edge. Working from Tycho Brahe’s data, Kepler was fighting observational stubbornness that refused to fit perfect circles. This law is the payoff for accepting messy ellipses: once you stop forcing nature into ideal forms, nature rewards you with a simpler, stronger rule. Newton later supplies the “why” with gravity; Kepler’s sentence is the audacious “it is so,” delivered with the calm of a ledger that knows it will outlast the theology.
Quote Details
| Topic | Science |
|---|---|
| Source | Johannes Kepler, Harmonices Mundi (The Harmony of the World), 1619 — formulation of Kepler's Third Law: "The squares of the periodic times are to each other as the cubes of the mean distances." |
| Cite |
Citation Formats
APA Style (7th ed.)
Kepler, Johannes. (2026, January 18). The squares of the periodic times are to each other as the cubes of the mean distances. FixQuotes. https://fixquotes.com/quotes/the-squares-of-the-periodic-times-are-to-each-10984/
Chicago Style
Kepler, Johannes. "The squares of the periodic times are to each other as the cubes of the mean distances." FixQuotes. January 18, 2026. https://fixquotes.com/quotes/the-squares-of-the-periodic-times-are-to-each-10984/.
MLA Style (9th ed.)
"The squares of the periodic times are to each other as the cubes of the mean distances." FixQuotes, 18 Jan. 2026, https://fixquotes.com/quotes/the-squares-of-the-periodic-times-are-to-each-10984/. Accessed 27 Mar. 2026.





