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Three laws for the planets

Johannes Kepler

1571–1630

Kepler abandoned the perfect circle for elliptical orbits. His laws connect a planet’s path, its changing speed and the time it takes to complete a year.

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Johannes Kepler
Presumed portrait of Kepler, circa 1612, attributed to Hans von Aachen. The identification is uncertain.
Attributed to Hans von Aachen · Public domain · Portrait source
Resized and converted to WebP for this site.

A life of research

Educated in Tübingen, he worked in Graz and then with Tycho Brahe in Prague. He gained access to exceptionally precise observations, crucial to his investigation of Mars.

Religious conflict and financial difficulties marked his career. Nevertheless, he continued researching orbits, optics and astronomical tables, seeking mathematical order in the heavens.

Understanding the contribution

In 1609 he established that planets follow ellipses with the Sun at one focus. A line joining planet and Sun sweeps equal areas in equal times, meaning orbital speed changes.

His third law, published in 1619, links the square of the orbital period to the cube of the semi-major axis. These relations described the observations; Newton later explained their gravitational origin.

What this work changed

Kepler’s laws remain fundamental tools for understanding orbits, from planets to artificial satellites.

Sources and references