Updated 10/06/04

His Life, His Laws and Times

(Picture courtesy of Sternwarte Kremsmünster, Upper-Austria)

## A Short Biography

A List of Kepler's Firsts

Kepler's Laws of Planetary Motion

People and Events Contemporary to Kepler (1571-1630)

Biographies and books on Kepler

Johannes Kepler was born at 2:30 PM on December 27, 1571, in Weil der Stadt, Württemburg, in the Holy Roman Empire of German Nationality. He was a sickly child and his parents were poor. But his evident intelligence earned him a scholarship to the University of Tübingen to study for the Lutheran ministry. There he was introduced to the ideas of Copernicus and delighted in them. In 1596, while a mathematics teacher in Graz, he wrote the first outspoken defense of the Copernican system, the

Mysterium Cosmographicum.Kepler's family was Lutheran and he adhered to the

Augsburg Confessiona defining document for Lutheranism. However, he did not adhere to the Lutheran position on the real presence and refused to sign theFormula of Concord. Because of his refusal he was excluded from the sacrament in the Lutheran church. This and his refusal to convert to Catholicism left him alienated by both the Lutherans and the Catholics. Thus he had no refuge during the Thirty-Years War.

The Holy Roman Empire of German Nationality at the Time of KeplerKepler was forced to leave his teaching post at Graz due to the counter Reformation because he was Lutheran and moved to Prague to work with the renowned Danish astronomer, Tycho Brahe. He inherited Tycho's post as Imperial Mathematician when Tycho died in 1601. Using the precise data that Tycho had collected, Kepler discovered that the orbit of Mars was an ellipse. In 1609 he published

Astronomia Nova, delineating his discoveries, which are now called Kepler's first two laws of planetary motion. And what is just as important about this work, "it is the first published account wherein a scientist documents how he has coped with the multitude of imperfect data to forge a theory of surpassing accuracy" (O. Gingerich in forward toJohannes Kepler New Astronomytranslated by W. Donahue, Cambridge Univ Press, 1992), a fundamental law of nature. Today we call this the scientific method.In 1612 Lutherans were forced out of Prague, so Kepler moved on to Linz. His wife and two sons had recently died. He remarried happily, but had many personal and financial troubles. Two infant daughters died and Kepler had to return to Württemburg where he successfully defended his mother against charges of witchcraft. In 1619 he published

Harmonices Mundi, in which he describes his "third law."In spite of more forced relocations, Kepler published the seven-volume

Epitome Astronomiaein 1621. This was his most influential work and discussed all of heliocentric astronomy in a systematic way. He then went on to complete theRudolphine Tablesthat Tycho had started long ago. These included calculations using logarithms, which he developed, and provided perpetual tables for calculating planetary positions for any past or future date. Kepler used the tables to predict a pair of transits by Mercury and Venus of the Sun, although he did not live to witness the events.Johannes Kepler died in Regensburg in 1630, while on a journey from his home in Sagan to collect a debt. His grave was demolished within two years because of the Thirty Years War. Frail of body, but robust in mind and spirit, Kepler was scrupulously honest to the data.

- First to correctly explain planetary motion, thereby, becoming founder of celestial mechanics and the first "natural laws" in the modern sense; being universal, verifiable, precise.
In his book

Astronomia Pars Optica, for which he earned the title of founder of modern optics he was the:

- First to investigate the formation of pictures with a pin hole camera;
- First to explain the process of vision by refraction within the eye;
- First to formulate eyeglass designing for nearsightedness and farsightedness;
- First to explain the use of both eyes for depth perception.
In his book

Dioptrice(a term coined by Kepler and still used today) he was the:

- First to describe: real, virtual, upright and inverted images and magnification;
- First to explain the principles of
howa telescope works;- First to discover and describe the properties of total internal reflection.
In addition:

- His book
Stereometrica Doliorumformed the basis of integral calculus.- First to explain that the tides are caused by the Moon (Galileo reproved him for this).
- Tried to use stellar parallax caused by the Earth's orbit to measure the distance to the stars; the same principle as depth perception. Today this branch of research is called astrometry.
- First to suggest that the Sun rotates about its axis in
Astronomia Nova- First to derive the birth year of Christ, that is now universally accepted.
- First to derive logarithms purely based on mathematics, independent of Napier's tables published in 1614.
- He coined the word "satellite" in his pamphlet
Narratio de Observatis a se quatuor Iovis sattelitibus erronibus

Kepler was assigned the task by Tycho Brahe to analyze the observations that Tycho had made of Mars. Of all the planets, the predicted position of Mars had the largest errors and therefore posed the greatest problem. Tycho's data were the best available before the invention of the telescope and the accuracy was good enough for Kepler to show that Mars' orbit would precisely fit an ellipse. In 1605 he announced

TheFirst Law:Planets move in ellipses with the Sun at one focus.The figure below illustrates two orbits with the same semi-major axis, focus and orbital period: one a circle with an eccentricity of 0.0; the other an ellipse with an eccentricity of 0.8.

Circular and Elliptical Orbits Having the Same Period and FocusPrior to this in 1602, Kepler found from trying to calculate the position of the Earth in its orbit that as it sweeps out an area defined by the Sun and the orbital path of the Earth that

:The radius vector describes equal areas in equal times.(The Second Law)Kepler published these two laws in 1609 in his book

Astronomia Nova.For a circle the motion is uniform as shown above, but in order for an object along an elliptical orbit to sweep out the area at a uniform rate, the object moves quickly when the radius vector is short and the object moves slowly when the radius vector is long.

On May 15, 1618 he discovered

The Third Law:The squares of the periodic times are to each other as the cubes of the mean distances.This law he published in 1619 in his

Harmonices Mundi. It was this law, not an apple, that lead Newton to his law of gravitation. Kepler can truly be called the founder of celestial mechanics.Also, see the article on "

Kepler and Mars - Understanding How Planets Move" by Edna DeVore

Nicolas Copernicus 1473--------1543

De Revolutionibusby Copernicus 1543

Tycho Brahe ....................1546------1601

Galileo Galilei .................1564---------1642

William Shakespeare .............1564------1616

Johannes Kepler................1571------1630

Defeat of Spanish Armada .............1588

Supernova occurred and named for Kepler....1604

Discovery of Australia by William Janszoon.1606

Jamestown established .....................1607

Telescope invented by Johann Lippershey ...1608

King James Version ofThe Holy Bible......1611

Thirty Years War ...........................1618--1648

Pilgrims landed at Plymouth ................1620

Dutch bought Manhattan for $24.00 ...........1626

Taj Mahal built................................1632-45

Harvard College founded .......................1636

Isaac Newton ....................................1642----------1727

Reign of Louis XIV ..............................1643---------1715

Keplerby MaxCaspar, Dover Publications, 1993, 441pp. ISBN 0-486-67605-6 (paperback).

This is themost complete and authoritative biographyon Johannes Kepler. It is a recent translation by C. Doris Hellman with an introduction, bibliography and list of textual citations by Owen Gingerich.

Kepler's Witch: An Astronomer's Discovery of Cosmic Order Amid Religious War, Political Intrigue, and the Heresy Trial of His Motherby JamesConnor, Harper SanFrancisco, 2004. 416pp.$24.95 ISBN: 0-06-052255-0 (hard cover). A great biography with lots of background material about the life and times of Kepler.

Tycho & Kepler: The Unlikely Partnership that Forever Changed Our Understanding of the Heavensby KittyFerguson, Walker New York, 2002, 402pp., $28.00 ISBN: 0-8027-1390-4 (hard cover)

The Sleepwalkers:A History of Man's Changing Vision of the Universeby ArthurKoestler, Penguin Books, 1959, 623pp. ISBN 0-14-019246-8 (paperback).

It also includes material on Copernicus, Tycho and Galileo.

Johannes Kepler, JohnTiner, Mott Media, 1977, 202pp. ISBN 0-915134-11-X (paperback) ISBN 0-915134-96-9 (hard cover)

For high school level reading, a biography which reads more like a story.

Johannes Kepler: And the New Astronomy, by James R.Voelkel, Oxford University Press, 1999

144pp., ISBN: 0195116801 (hard cover) ; ISBN: 019515021X (paperback)

The Composition of Kepler's Astronomia Nova, by James R.Voelkel, : Princeton University Press, 2001, 308pp. ISBN: 0691007381 (hard cover)

In German:

Johannes Kepler,MaxCaspar, Verlag für Geschichte der Naturwissenschaften und der Technik, Stuttgart, 1995, Vierte Auflage (4th ed.) 591pp. ISBN 3-928186-28-0 (For English translation, see above.)

Johannes KeplerEr veränderte das Weltbild, GünterDoebel, Verlag Styria, Graz, 1983, 256pp. ISBN 3-222-11457-9

Johannes Kepler Dokumente zu Lebenszeit und Lebenswerk,by WaltherGerlachand MarthaList, Ehrenwirth Verlag, München, 1971, 243pp. ISBN 3 431 01421 6

Johann Kepler Sein Leben in Bildern und eigenen Berichten,by JustusSchmidt, Rudolf Trauner Verlag, Linz, 1970, 308pp. ISBN 3 85320 258 6

Other Information:

There is a

playon Kepler and Tycho"Reading The Mind of God" by Patrick GabridgeThere is a web site for the Kepler Museum in Weil der Stadt by the Kepler-Gesellschaft e. V.

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Curator: David Koch