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Johannes Kepler (December 27, 1571 – November 15, 1630), a key figure in the Scientific
Revolution, was a German astrologer, astronomer, and mathematician; best known for his laws of planetary motion. He is sometimes referred to as "the first theoretical astrophysicist." Carl Sagan also refers to him as the last scientific astrologer.
Kepler was a professor of mathematics at the University of Graz, court mathematician to Emperor Rudolf II, and court astrologer to General Wallenstein. Early in his career, Kepler was an assistant of Brahe's. Kepler's career coincided with that of Galilei.
Some events of Kepler's life
- December 27, 1571 born at
Weil-der-Stadt (nowadays a part of Germany's Stuttgart Region)
- Comet of 1577 "I...was taken by my mother to a
high place to look at it." (age six)
- Lunar eclipse of 1580 "I was
called outdoors... It appeared quite red." (age nine)
- Graduates from University of Tübingen (1591) and pursues graduate study in theology
- April 1594 Kepler takes mathematics faculty position at Graz in Austria
- April 1597 Kepler marries Barbara Muehleck. She died in 1611 survived by two children.
- December 1599 Tycho Brahe writes
inviting Kepler to assist him at Benatek outside Prague
- November 1601 Kepler appointed imperial mathematician to the Hapsburg Emperor, after
Tycho's death
- October 1604 observes the supernova
called Kepler's Star
- January 1612 Emperor dies and Kepler takes post of provincial mathematian in Linz
- May 15, 1618 Kepler discovers the
distance-cubed-over-time-squared (or 'third') law of planetary motion (he first made the discovery on March 8 but rejected the idea for a while)
- August 1620 Katherine, Kepler's mother, arrested in Leonberg as a witch; imprisoned for
14 months
- October 1621 Katherine released after failure to convict; refused to confess although
being tortured
- November 15, 1630 in Regensburg, Kepler dies of a fever
Scientific work
Like previous astronomers, Kepler initially believed that celestial objects moved in perfect circles. These models were consistent with observations and with the Platonic idea that the sphere was the perfect shape. After spending twenty years doing calculations with Tycho Brahe's data, Kepler concluded that this model of planetary motion was
inconsistent with the data of Tycho Brahe. Using Tycho's data, Kepler was able to formulate three laws of planetary motion, now
known as Kepler's laws, in
which planets move in ellipses, not circles. By using that knowledge, he was also the first astronomer to be able to successfully
predict a transit of Venus (for the year 1631).
Kepler discovered the laws of planetary motion while trying to achieve the Pythagorean purpose of finding the harmony of the celestial spheres. In his cosmovision, it was not a coincidence that the number of perfect polyhedra was one less than the number of known planets. Having embraced the Copernican
system, he set out to prove that the distances from the planets to the sun where given by
spheres inside perfect polyhedra inside spheres. He thereby identified the five Platonic solids with the five intervals between the six known planets - Mercury, Venus, Earth, Mars,
Jupiter, Saturn and the five classical elements.
In 1596 Kepler published Mysterium Cosmographicum ('The Cosmic Mystery'). Here
is a selection explaining the relation between the planets and the Platonic solids:
- … Before the universe was created, there were no numbers except the Trinity, which is God himself… For, the
line and the plane imply no numbers: here infinitude itself reigns. Let us consider, therefore, the solids. We must first
eliminate the irregular solids, because we are only concerned with orderly creation. There remain six bodies, the sphere and the
five regular polyhedra. To the sphere corresponds the heaven. On the other hand, the
dynamic world is represented by the flat-faces solids. Of these there are five: when viewed as boundaries, however, these five
determine six distinct things: hence the six planets that revolve about the sun. This is also the reason why there are but six
planets…
- … I have further shown that the regular solids fall into two groups: three in one, and two in the other. To the
larger group belongs, first of all, the Cube, then the Pyramid, and finally the Dodecahedron. To the second group belongs, first, the Octahedron, and second, the Icosahedron. That is why the
most important portion of the universe, the Earth—where God's image is reflected in man—separates the two groups.
For, as I have proved next, the solids of the first group must lie beyond the earth's orbit, and those of the second group
within… Thus I was led to assign the Cube to Saturn, the Tetrahedron to Jupiter, the Dodecahedron to Mars, the Icosahedron
to Venus, and the Octahedron to Mercury…
To emphasize his theory, Kepler envisaged an impressive model of the universe which shows a cube, inside a sphere, with a
tetrahedron inscribed in it, another sphere inside it with a dodecahedron inscribed, a sphere with an icosahedron inscribed
inside, and finally a sphere with an octahedron inscribed. Each of these celestial spheres had a planet embedded within them, and
thus defined the planet's orbit.
On October 17, 1604, Kepler observed
that an exceptionally bright star had suddenly appeared in the constellation Ophiuchus. (It had appeared on October 9 previous.) The
appearance of the star, which Kepler described in his book De Stella nova in pede Serpentarii ('On the New Star in
Ophiuchus's Foot'), provided further evidence that the cosmos was not changeless; this was to influence Galileo's argument. It
has since been determined that the star was a supernova, the second in a generation, later called Kepler's Star or Supernova 1604. No further
supernovae have since been observed with certainty in the Milky Way, though
others outside our galaxy have been seen.
In his 1619 book, Harmonice Mundi or 'Harmony of the World' (full title:
Harmonices Mundi Libri V, or 'Five Books on the Harmony of the World'), as well as the aforementioned Misterium
Cosmographicum, he also made an association between the Platonic
solids with the classical conception of the elements: The tetrahedron was
the form of fire, the octahedron was that of air, the cube was earth, the icosahedron was water, and the dodecahedron was the cosmos as a whole or ether. There is some evidence this
association was of ancient origin, as Plato relates one Timaeus of Locri who thought of
the Universe as being enveloped by a gigantic dodecahedron while the other four solids represent the "elements" of fire, air,
earth, and water.
To his disappointment, Kepler's attempts to fix the orbits of the planets within a set of polyhedrons never worked out, but
there were other rewards. Since he was the first to recognize the non-convex regular solids (such as the stellated dodecahedra),
they are named Kepler solids in his honor.
His most significant achievements came from the realisation that the orbits of the planets were ellipses, not circles. This
realisation was a direct consequence of his failed attempt to fit the planetary orbits within polyhedra. Kepler's willingness to
abandon his most cherished theory in the face of precise observational evidence indicates that he had a very modern attitude to
scientific research. Kepler also made great steps in trying to describe the motion of the planets by appealing to a force which
resembled magnetism, and which emanated from the sun. Although he did not discover gravity, he seems to have attempted to describe the first empirical example of a universal law, to explain the behaviour
of both earthly and heavenly bodies.
Kepler also made fundamental investigations into combinatorics,
geometrical optimization, and natural phenomena such as snowflakes, always with an emphasis
on form and design. He was also notable for defining antiprisms.
In 1632, only two years after his death, his grave was demolished by the Swedish army in the Thirty Years'
War.
Writings by Kepler
- New Astronomy
(1609)
- Somnium ("The Dream",
1634)
External links
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