StateMaster - Encyclopedia: Johannes Kepler

Johannes Kepler (pronounced /ˈkɛplɚ/) (December 27, 1571 – November 15, 1630) was a German mathematician, astronomer and astrologer, and key figure in the 17th century astronomical revolution. He is best known for his eponymous laws of planetary motion, codified by later astronomers based on his works Astronomia nova, Harmonices Mundi, and Epitome of Copernican Astronomy. Kepler may refer to: Johannes Kepler, a key figure in the scientific revolution. ... Image File history File linksMetadata Download high-resolution version (1500x2060, 423 KB) de: Johannes Kepler war ein deutscher Mathematiker und Optiker. ... December 27 is the 361st day of the year in the Gregorian calendar (362nd in leap years). ... Events January 11 - Austrian nobility is granted Freedom of religion. ... Weil der Stadt is a small town with approximately 19,200 inhabitants, located in the Stuttgart Region of the German state of Baden-WÃ¼rttemberg. ... Stuttgart Region (Baden-WÃ¼rttemberg, Germany) consists of the city of Stuttgart and the surrounding counties of Ludwigsburg, Esslingen, BÃ¶blingen, Waiblingen and GÃ¶ppingen (each 10 - 20 km from Stuttgart city center). ... is the 319th day of the year (320th in leap years) in the Gregorian calendar. ... Events February 22 - Native American Quadequine introduces Popcorn to English colonists. ... Regensburg (also Ratisbon, Latin Ratisbona) is a city (population 151. ... For other uses, see Bavaria (disambiguation). ... Location Coordinates , , Time zone CET/CEST (UTC+1/+2) Administration Country NUTS Region DE1 Capital Stuttgart Minister-President GÃ¼nther Oettinger (CDU) Governing parties CDU / FDP Votes in Bundesrat 6 (of 69) Basic statistics Area 35,752 kmÂ² (13,804 sq mi) Population 10,741,000 (11/2006)[1] - Density... â€œStyriaâ€ redirects here. ... For other uses, see Bohemia (disambiguation). ... Upper Austria (Ober sterreich) is one of the nine federal states or Bundesl nder of Austria. ... For other uses, see Astronomy (disambiguation). ... Hand-coloured version of the anonymous Flammarion woodcut (1888). ... For other meanings of mathematics or uses of math and maths, see Mathematics (disambiguation) and Math (disambiguation). ... Natural philosophy or the philosophy of nature, known in Latin as philosophia naturalis, is a term applied to the objective study of nature and the physical universe that was regnant before the development of modern science. ... Johannes Kepler University Linz (JKU Linz, or just JKU -- the full German name is Johannes-Kepler-Universität Linz, the short version is Universität Linz, University of Linz in English; its Latin name is alma mater Kepleriana) is an institution of higher education in Linz, the capital of Upper... For other uses, see Alma mater (disambiguation). ... Eberhard Karls University of TÃ¼bingen (German: Eberhard-Karls-UniversitÃ¤t TÃ¼bingen) is a state-supported university located on the Neckar river, in the city of TÃ¼bingen, Baden-WÃ¼rttemberg, Germany. ... Illustration of Keplers three laws with two planetary orbits. ... In mathematics, the Kepler conjecture is a conjecture about sphere packing in three dimensional Euclidean space. ... Lutheranism is a major branch of Protestant Christianity that identifies with the teachings of the sixteenth-century German reformer Martin Luther. ... December 27 is the 361st day of the year in the Gregorian calendar (362nd in leap years). ... Events January 11 - Austrian nobility is granted Freedom of religion. ... is the 319th day of the year (320th in leap years) in the Gregorian calendar. ... Events February 22 - Native American Quadequine introduces Popcorn to English colonists. ... Leonhard Euler, considered one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is the field of mathematics. ... Galileo is often referred to as the Father of Modern Astronomy. ... An astrologer practices one or more forms of astrology. ... An eponym is the name of a person, whether real or fictitious, who has (or is thought to have) given rise to the name of a particular place, tribe, discovery, or other item. ... Illustration of Keplers three laws with two planetary orbits. ... Astronomia nova (A new astronomy), written by Johannes Kepler and published in 1609, set out the evidence for what came to be known as Keplers laws of planetary motion. ... Harmonices Mundi (Latin: The Harmony of the Worlds, 1619) is a book by Johannes Kepler. ...

Before Kepler, planets' paths were computed by combinations of the circular motions of the celestial orbs. After Kepler, astronomers gradually shifted their attention from orbs to orbits.^[1] Kepler's laws also provided one of the foundations for Isaac Newton's theory of universal gravitation. This article is about the astronomical term. ... The celestial spheres relate to Johannes Keplers work Harmonia Mundi in which he drew together theories from the world of music, architecture, planetary motion and astronomy and linked them together to form an idea of a harmony and cohesion underlying all world phenomena and ruled by a divine force. ... Two bodies with a slight difference in mass orbiting around a common barycenter. ... Sir Isaac Newton FRS (4 January 1643 â€“ 31 March 1727) [ OS: 25 December 1642 â€“ 20 March 1727][1] was an English physicist, mathematician, astronomer, natural philosopher, and alchemist. ... This article covers the physics of gravitation. ...

During his career, Kepler was a mathematics teacher at a seminary school in Graz, Austria, an assistant to astronomer Tycho Brahe, the court mathematician to Emperor Rudolf II, a mathematics teacher in Linz, Austria, and an adviser to General Wallenstein. He also did fundamental work in the field of optics, invented an improved version of the refracting telescope (the Keplerian Telescope), and helped to legitimize the telescopic discoveries of his contemporary Galileo Galilei. The Grazer SchloÃŸberg Clock Tower Graz [graËts] (Slovenian: Gradec IPA: /gra. ... This article is about the astronomer. ... Holy Roman Emperor Rudolf II Rudolph IIs personal imperial crown, later crown of the Austrian Empire Rudolf II Habsburg was an emperor of the Holy Roman Empire, king of Bohemia, and king of Hungary. ... For the town in Germany, see Linz am Rhein. ... (also Waldstein; Czech: ;[1] September 24, 1583 â€“ February 25, 1634)[2] was a Bohemian soldier and politician who gave his services (an army of 30,000 to 100,000 men) during the Danish Period of the Thirty Years War to Ferdinand II for no charge except the right to plunder... For the book by Sir Isaac Newton, see Opticks. ... Image of a refracting telescope from the Cincinnati Observatory in 1848 A refracting or refractor telescope is a dioptric telescope that uses a lens as its objective to form an image. ... Image of a refracting telescope from the Cincinnati Observatory in 1848 A refracting or refractor telescope is a dioptric telescope that uses a lens as its objective to form an image. ... This article does not cite any references or sources. ... Galileo redirects here. ...

Kepler lived in an era when there was no clear distinction between astronomy and astrology, but there was a strong division between astronomy (a branch of mathematics within the liberal arts) and physics (a branch of the more prestigious discipline of natural philosophy). Kepler also incorporated religious arguments and reasoning into his work, motivated by the religious conviction that God had created the world according to an intelligible plan that is accessible through the natural light of reason.^[2] Kepler described his new astronomy as "celestial physics",^[3] as "an excursion into Aristotle's Metaphysics",^[4] and as "a supplement to Aristotle's On the Heavens",^[5] transforming the ancient tradition of physical cosmology by treating astronomy as part of a universal mathematical physics.^[6] For other uses, see Astronomy (disambiguation). ... Hand-coloured version of the anonymous Flammarion woodcut (1888). ... The quadrivium comprised the four subjects taught in medieval universities after the trivium. ... In the history of education, the seven liberal arts comprise two groups of studies, the trivium and the quadrivium. ... A magnet levitating above a high-temperature superconductor demonstrates the Meissner effect. ... Natural philosophy or the philosophy of nature, known in Latin as philosophia naturalis, is a term applied to the objective study of nature and the physical universe that was regnant before the development of modern science. ... Natural is defined as of or relating to nature; this applies to both definitions of nature: essence (ones true nature) and the untouched world (force of nature). Natural is often used meaning good, healthy, or belonging to human nature. This use can be questioned, as many freely growing plants... For other uses, see Reason (disambiguation). ... For other uses, see Aristotle (disambiguation). ... Metaphysics is one of the principal works of Aristotle and the first major work of the branch of philosophy with the same name. ... On the Heavens (or De Caelo) is Aristotles chief cosmological treatise: it contains his astronomical theory. ...

Early years

Kepler was born on December 27, 1571, at the Imperial Free City of Weil der Stadt (now part of the Stuttgart Region in the German state of Baden-Württemberg, 30 km west of Stuttgart's center). His grandfather, Sebald Kepler, had been Lord Mayor of that town, but by the time Johannes was born, the Kepler family fortune was on the decline. His father, Heinrich Kepler, earned a precarious living as a mercenary, and he left the family when Johannes was five years old. He was believed to have died in the Eighty Years' War in the Netherlands. His mother Katharina Guldenmann, an inn-keeper's daughter, was a healer and herbalist who was later tried for witchcraft. Born prematurely, Johannes claimed to have been a weak and sickly child. He was, however, a brilliant child; he often impressed travelers at his grandfather's inn with his phenomenal mathematical faculty.^[7] Image File history File links No higher resolution available. ... Image File history File links No higher resolution available. ... Tycho Brahe. ... December 27 is the 361st day of the year in the Gregorian calendar (362nd in leap years). ... Events January 11 - Austrian nobility is granted Freedom of religion. ... In the Holy Roman Empire, an imperial free city (in German: freie Reichsstadt) was a city formally responsible to the emperor only â€” as opposed to the majority of cities in the Empire, which belonged to a territory and were thus governed by one of the many princes (FÃ¼rsten) of... Weil der Stadt is a small town with approximately 19,200 inhabitants, located in the Stuttgart Region of the German state of Baden-WÃ¼rttemberg. ... Stuttgart Region (Baden-WÃ¼rttemberg, Germany) consists of the city of Stuttgart and the surrounding counties of Ludwigsburg, Esslingen, BÃ¶blingen, Waiblingen and GÃ¶ppingen (each 10 - 20 km from Stuttgart city center). ... Location Coordinates , , Time zone CET/CEST (UTC+1/+2) Administration Country NUTS Region DE1 Capital Stuttgart Minister-President GÃ¼nther Oettinger (CDU) Governing parties CDU / FDP Votes in Bundesrat 6 (of 69) Basic statistics Area 35,752 kmÂ² (13,804 sq mi) Population 10,741,000 (11/2006)[1] - Density... For other uses, see Mercenary (disambiguation). ... Combatants Dutch rebels Spanish Empire The Eighty Years War, or Dutch Revolt (1568[1]â€“1648), was the revolt of the Seventeen Provinces in the Netherlands against the Spanish (Habsburg) Empire. ... Witch redirects here. ...

He was introduced to astronomy at an early age, and developed a love for it that would span his entire life. At age six, he observed the Great Comet of 1577, writing that he "was taken by [his] mother to a high place to look at it."^[8] At age nine, he observed another astronomical event, the Lunar eclipse of 1580, recording that he remembered being "called outdoors" to see it and that the moon "appeared quite red".^[8] However, childhood smallpox left him with weak vision and crippled hands, limiting his ability in the observational aspects of astronomy.^[9] Tycho Brahe. ... Time lapse movie of the 3 March 2007 lunar eclipse A lunar eclipse occurs whenever the Moon passes through some portion of the Earthâ€™s shadow. ... Smallpox (also known by the Latin names Variola or Variola vera) is a contagious disease unique to humans. ...

In 1589, after moving through grammar school, Latin school, and lower and higher seminary in the Württemberg state-run Protestant education system, Kepler began attending the University of Tübingen as a theology student, and studied philosophy under Vitus Müller^[10]. He proved himself to be a superb mathematician and earned a reputation as a skillful astrologer, casting horoscopes for fellow students. Under the instruction of Michael Maestlin, he learned both the Ptolemaic system and the Copernican system of planetary motion. He became a Copernican at that time. In a student disputation, he defended heliocentrism from both a theoretical and theological perspective, maintaining that the Sun was the principal source of motive power in the universe.^[11] Despite his desire to become a minister, near the end of his studies Kepler was recommended for a position as teacher of mathematics and astronomy at the Protestant school in Graz, Austria (later the University of Graz). He accepted the position in April 1594, at the age of 23.^[12] Arms of the Kingdom of WÃ¼rttemberg The title of this article contains the character Ã¼. Where it is unavailable or not desired, the name may be represented as Wuerttemberg. ... Eberhard Karls University of TÃ¼bingen (German: Eberhard-Karls-UniversitÃ¤t TÃ¼bingen) is a state-supported university located on the Neckar river, in the city of TÃ¼bingen, Baden-WÃ¼rttemberg, Germany. ... Theology finds its scholars pursuing the understanding of and providing reasoned discourse of religion, spirituality and God or the gods. ... Hand-coloured version of the anonymous Flammarion woodcut (1888). ... A horoscope calculated for January 1, 2000 at 12:01:00 A.M. Eastern Standard Time in New York City, New York, USA (Longitude: 074W0023 - Latitude: 40N4251). In astrology, a horoscope is a chart or diagram representing the positions of the Sun, Moon, planets, the astrological aspects, and... Michael Maestlin (1550-1631) was a German astronomer and mathematician. ... Mediaeval drawing of the Ptolemaic system. ... Heliocentric Solar System Heliocentrism (lower panel) in comparison to the geocentric model (upper panel) In astronomy, heliocentrism is the theory that the sun is at the center of the Universe and/or the Solar System. ... Heliocentric Solar System Heliocentrism (lower panel) in comparison to the geocentric model (upper panel) In astronomy, heliocentrism is the theory that the sun is at the center of the Universe and/or the Solar System. ... Sol redirects here. ... The Grazer SchloÃŸberg Clock Tower Graz [graËts] (Slovenian: Gradec IPA: /gra. ... University of Graz The University of Graz (German, Karl-Franzens-UniversitÃ¤t Graz), a university located in Graz, Austria, is the second-largest university in Austria. ...

Graz (1594–1600)

Mysterium Cosmographicum

Johannes Kepler's first major astronomical work, Mysterium Cosmographicum (The Cosmographic Mystery), was the first published defense of the Copernican system. Kepler claimed to have had an epiphany on July 19, 1595, while teaching in Graz, demonstrating the periodic conjunction of Saturn and Jupiter in the zodiac; he realized that regular polygons bound one inscribed and one circumscribed circle at definite ratios, which, he reasoned, might be the geometrical basis of the universe. After failing to find a unique arrangement of polygons that fit known astronomical observations (even with extra planets added to the system), Kepler began experimenting with 3-dimensional polyhedra. He found that each of the five Platonic solids could be uniquely inscribed and circumscribed by spherical orbs; nesting these solids, each encased in a sphere, within one another would produce six layers, corresponding to the six known planets—Mercury, Venus, Earth, Mars, Jupiter, and Saturn. By ordering the solids correctly—octahedron, icosahedron, dodecahedron, tetrahedron, cube—Kepler found that the spheres could be placed at intervals corresponding (within the accuracy limits of available astronomical observations) to the relative sizes of each planet’s path, assuming the planets circle the Sun. Kepler also found a formula relating the size of each planet’s orb to the length of its orbital period: from inner to outer planets, the ratio of increase in orbital period is twice the difference in orb radius. However, Kepler later rejected this formula, because it was not precise enough.^[13] Download high resolution version (704x774, 142 KB)Keplers Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). ... Download high resolution version (704x774, 142 KB)Keplers Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). ... In geometry, a Platonic solid is a convex regular polyhedron. ... This article is about the Solar System. ... Mysterium Cosmographicum, (The Sacred Mystery of the Cosmos [Explained]) (alternately translated Cosmic Mystery, The Secret of the World or some variation) is an astronomy book by the German astronomer Johannes Kepler, published at TÃ¼bingen in 1596. ... is the 200th day of the year (201st in leap years) in the Gregorian calendar. ... Events January 30 - William Shakespeares Romeo and Juliet is performed for the first time. ... A regular pentagon A regular polygon is a simple polygon (a polygon which does not intersect itself anywhere) which is equiangular (all angles are equal) and equilateral (all sides have the same length). ... For the game magazine, see Polyhedron (magazine). ... In geometry, a Platonic solid is a convex regular polyhedron. ... This drawing from an Icelandic manuscript dated around 1750 shows the Earth surrounded by the eight classical spheres. ... This article is about the planet. ... For other uses, see Venus (disambiguation). ... This article is about Earth as a planet. ... Adjectives: Martian Atmosphere Surface pressure: 0. ... For other uses, see Jupiter (disambiguation). ... This article is about the planet. ... An octahedron (plural: octahedra) is a polyhedron with eight faces. ... [Etymology: 16th century: from Greek eikosaedron, from eikosi twenty + -edron -hedron], icosahedral adjective An icosahedron noun (plural: -drons, -dra ) is any polyhedron having 20 faces, but usually a regular icosahedron is implied, which has equilateral triangles as faces. ... A dodecahedron is any polyhedron with twelve faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve regular pentagonal faces, with three meeting at each vertex. ... For the academic journal, see Tetrahedron (journal). ... A cube[1] is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. ... The orbital period is the time it takes a planet (or another object) to make one full orbit. ...

As he indicated in the title, Kepler thought he had revealed God’s geometrical plan for the universe. Much of Kepler’s enthusiasm for the Copernican system stemmed from his theological convictions about the connection between the physical and the spiritual; the universe itself was an image of God, with the Sun corresponding to the Father, the stellar sphere to the Son, and the intervening space between to the Holy Spirit. His first manuscript of Mysterium contained an extensive chapter reconciling heliocentrism with biblical passages that seemed to support geocentrism.^[14] Keplers Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). ... Keplers Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). ... Theology is literally rational discourse concerning God (Greek θεος, theos, God, + λογος, logos, rational discourse). By extension, it also refers to the study of other religious topics. ... Spirituality, in a narrow sense, concerns itself with matters of the spirit. ... This article is about the term God in the context of monotheism and henotheism. ... This article is about Jesus of Nazareth. ... Topics in Christianity Movements Â· Denominations Â· Other religions Ecumenism Â· Preaching Â· Prayer Music Â· Liturgy Â· Calendar Symbols Â· Art Â· Criticism Important figures Apostle Paul Â· Church Fathers Constantine Â· Athanasius Â· Augustine Anselm Â· Aquinas Â· Palamas Â· Luther Calvin Â· Wesley Arius Â· Marcion of Sinope Archbishop of Canterbury Â· Catholic Pope Coptic Pope Â· Ecumenical Patriarch Christianity Portal This box: In mainstream...

With the support of his mentor Michael Maestlin, Kepler received permission from the Tübingen university senate to publish his manuscript, pending removal of the Bible exegesis and the addition of a simpler, more understandable description of the Copernican system as well as Kepler’s new ideas. Mysterium was published late in 1596, and Kepler received his copies and began sending them to prominent astronomers and patrons early in 1597; it was not widely read, but it established Kepler’s reputation as a highly skilled astronomer. The effusive dedication, to powerful patrons as well as to the men who controlled his position in Graz, also provided a crucial doorway into the patronage system.^[15] Michael Maestlin (1550-1631) was a German astronomer and mathematician. ... ...

Though the details would be modified in light of his later work, Kepler never relinquished the Platonist polyhedral-spherist cosmology of Mysterium Cosmographicum. His subsequent main astronomical works were in some sense only further developments of it, concerned with finding more precise inner and outer dimensions for the spheres by calculating the eccentricities of the planetary orbits within it. In 1621 Kepler published an expanded second edition of Mysterium, half as long again as the first, detailing in footnotes the corrections and improvements he had achieved in the 25 years since its first publication.^[16]

Marriage to Barbara Müller

In December 1595, Kepler was introduced to Barbara Müller, a 23-year-old widow (twice over) with a young daughter, and he began courting her. Müller, heir to the estates of her late husbands, was also the daughter of a successful mill owner. Her father Jobst initially opposed a marriage despite Kepler's nobility; though he had inherited his grandfather's nobility, Kepler's poverty made him an unacceptable match. Jobst relented after Kepler completed work on Mysterium, but the engagement nearly fell apart while Kepler was away tending to the details of publication. However, church officials — who had helped set up the match — pressured the Müllers to honor their agreement. Barbara and Johannes were married on April 27, 1597.^[17] Image File history File linksMetadata Barbara_MÃ¼ller_and_Johannes_Kepler. ... Image File history File linksMetadata Barbara_MÃ¼ller_and_Johannes_Kepler. ... is the 117th day of the year (118th in leap years) in the Gregorian calendar. ... For other uses, see: 1597 (number). ...

In the first years of their marriage, the Keplers had two children (Heinrich and Susanna), both of whom died in infancy. In 1602, they had a daughter (Susanna); in 1604, a son (Friedrich); and in 1607, another son (Ludwig).^[18]

Other research in Graz

Following the publication of Mysterium and with the blessing of the Graz school inspectors, Kepler began an ambitious program to extend and elaborate his work. He planned four additional books: one on the stationary aspects of the universe (the Sun and the fixed stars); one on the planets and their motions; one on the physical nature of planets and the formation of geographical features (focused especially on Earth); and one on the effects of the heavens on the Earth, to include atmospheric optics, meteorology and astrology.^[19]

He also sought the opinions of many of the astronomers to whom he had sent Mysterium, among them Reimarus Ursus (Nicolaus Reimers Bär) — the imperial mathematician to Rudolph II and a bitter rival of Tycho Brahe. Ursus did not reply directly, but republished Kepler's flattering letter to pursue his priority dispute over (what is now called) the Tychonic system with Tycho. Despite this black mark, Tycho also began corresponding with Kepler, starting with a harsh but legitimate critique of Kepler's system; among a host of objections, Tycho took issue with the use of inaccurate numerical data taken from Copernicus. Through their letters, Tycho and Kepler discussed a broad range of astronomical problems, dwelling on lunar phenomena and Copernican theory (particularly its theological viability). But without the significantly more accurate data of Tycho's observatory, Kepler had no way to address many of these issues.^[20] Reimarus Ursus (Nicolaus Reimers BÃ¤r) (1551â€“1600) was an astronomer and imperial mathematician to Rudolf II. Ursus was a bitter rival of Tycho Brahe (his successor as imperial mathematician) after he tried to claim the Tychonic system as his own. ... Holy Roman Emperor Rudolf II Rudolph IIs personal imperial crown, later crown of the Austrian Empire Rudolf II Habsburg was an emperor of the Holy Roman Empire, king of Bohemia, and king of Hungary. ... This article is about the astronomer. ... Tychonic system The Tychonic system (or Tychonian system) was an effort by Tycho Brahe to create a model of the solar system which would combine what he saw as the mathematical benefits of the Copernican system with the philosophical and physical benefits of the Ptolemaic system. ... Nicolaus Copernicus (in Latin; Polish Mikołaj Kopernik, German Nikolaus Kopernikus - February 19, 1473 – May 24, 1543) was a Polish astronomer, mathematician and economist who developed a heliocentric (Sun-centered) theory of the solar system in a form detailed enough to make it scientifically useful. ...

Instead, he turned his attention to chronology and "harmony," the numerological relationships among music, mathematics and the physical world, and their astrological consequences. By assuming the Earth to possess a soul (a property he would later invoke to explain how the sun causes the motion of planets), he established a speculative system connecting astrological aspects and astronomical distances to weather and other earthly phenomena. By 1599, however, he again felt his work limited by the inaccuracy of available data — just as growing religious tension was also threatening his continued employment in Graz. In December of that year, Tycho invited Kepler to visit him in Prague; on January 1, 1600 (before he even received the invitation), Kepler set off in the hopes that Tycho's patronage could solve his philosophical problems as well as his social and financial ones.^[21] For the novel by Michael Crichton, see Timeline (novel). ... Look up numerology in Wiktionary, the free dictionary. ... Hand-coloured version of the anonymous Flammarion woodcut (1888). ... In astrology, an aspect is the relative angle between two heavenly bodies. ... // Meteorology (from Greek: Î¼ÎµÏ„ÎÏ‰ÏÎ¿Î½, meteoron, high in the sky; and Î»ÏŒÎ³Î¿Ï‚, logos, knowledge) is the interdisciplinary scientific study of the atmosphere that focuses on weather processes and forecasting. ... For other uses, see Prague (disambiguation). ... is the 1st day of the year in the Gregorian calendar. ... 1600 was a leap year starting on Saturday of the Gregorian calendar (or a leap year starting on Tuesday of the 10-day slower Julian calendar). ... Philosophy (from the Greek words philos and sophia meaning love of wisdom) is understood in different ways historically and by different philosophers. ... Problem refers to a situation, condition, or issue that is unresolved or undesired. ...

Prague (1600–1612)

Work for Tycho Brahe

On February 4, 1600, Kepler met Tycho and his assistants Franz Tengnagel and Longomontanus at Benátky nad Jizerou (~50 km from Prague), the site where Tycho's new observatory was being constructed. Over the next two months he stayed as a guest, analyzing some of Tycho's observations of Mars; Tycho guarded his data closely, but was impressed by Kepler's theoretical ideas and soon allowed him more access. Kepler planned to test his theory from Mysterium Cosmographicum based on the Mars data, but he estimated that the work would take up to two years (since he was not allowed to simply copy the data for his own use). With the help of Johannes Jessenius, Kepler attempted to negotiate a more formal employment arrangement with Tycho, but negotiations broke down in an angry argument and Kepler left for Prague on April 6. Kepler and Tycho soon reconciled and eventually reached an agreement on salary and living arrangements, and in June, Kepler returned home to Graz to collect his family.^[22] Image File history File links Tycho_Brahe. ... Image File history File links Tycho_Brahe. ... is the 35th day of the year in the Gregorian calendar. ... 1600 was a leap year starting on Saturday of the Gregorian calendar (or a leap year starting on Tuesday of the 10-day slower Julian calendar). ... Franz Gansneb Tengnagel von Camp (1576â€“1622) was a Westphalian nobleman and the son-in-law and assistant of astronomer Tycho Brahe. ... Christian Sørensen Longomontanus (or Longberg) (October 4, 1562 – October 8, 1647), was a Danish astronomer. ... BenÃ¡tky nad Jizerou is a town in the Central Bohemian Region of the Czech Republic, between cities StarÃ¡ Boleslav and MladÃ¡ Boleslav. ... Adjectives: Martian Atmosphere Surface pressure: 0. ... Jan Jessenius gold medal (award from the Slovak Academy of Sciences). ... is the 96th day of the year (97th in leap years) in the Gregorian calendar. ...

Political and religious difficulties in Graz dashed his hopes of returning immediately to Tycho; in hopes of continuing his astronomical studies, Kepler sought an appointment as mathematician to Archduke Ferdinand. To that end, Kepler composed an essay — dedicated to Ferdinand — in which he proposed a force-based theory of lunar motion (In Terra inest virtus, quae Lunam ciet — "There is a force in the earth which causes the moon to move").^[23] Though the essay did not earn him a place in Ferdinand's court, it did detail a new method for measuring lunar eclipses, which he applied during the July 10 eclipse in Graz. These observations formed the basis of his explorations of the laws of optics that would culminate in Astronomiae Pars Optica.^[24] There have been several men titled Archduke Ferdinand of Austria, including: Archduke Ferdinand Karl Anton Joseph Johann Stanislaus of Austria-Este (1754-1806), fourth son and fourteenth child of Franz I and Maria Theresa, became heir to the Duchies of Modena and Reggio through his marriage to the Este heiress... Time lapse movie of the 3 March 2007 lunar eclipse A lunar eclipse occurs whenever the Moon passes through some portion of the Earthâ€™s shadow. ...

On August 2, 1600, after refusing to convert to Catholicism, Kepler and his family were banished from Graz; several months later, Kepler returned, now with the rest of his household, to Prague. Through most of 1601, he was supported directly by Tycho, who assigned him to analyzing planetary observations and writing a tract against Tycho's (now deceased) rival Ursus. In September, Tycho secured him a commission as a collaborator on the new project he had proposed to the emperor: the Rudolphine Tables that should replace the Prussian Tables of Erasmus Reinhold. Two days after Tycho's unexpected death on October 24, 1601, Kepler was appointed his successor as imperial mathematician with the responsibility to complete his unfinished work. He illegally appropriated Tycho's observations, the property of his heirs, which subsequently led to four year delays each to the publications of two of his works whilst he negotiated copyright permissions for the use of Tycho's data. The next 11 years as imperial mathematician would be the most productive of his life.^[25] is the 214th day of the year (215th in leap years) in the Gregorian calendar. ... 1600 was a leap year starting on Saturday of the Gregorian calendar (or a leap year starting on Tuesday of the 10-day slower Julian calendar). ... The Rudolphine Tables (Latin: Tabulae Rudolphinae) consist of a star catalog and planetary tables published by Johannes Kepler in 1627. ... The Prutenic or Prussian Tables (Latin: , German: ) of 1551 were astronomical tables that replaced Alphonsine tables which had been used for 300 years. ... Erasmus Reinhold (October 22, 1511 – February 19, 1553) was a German astronomer and mathematician. ... is the 297th day of the year (298th in leap years) in the Gregorian calendar. ... Events February 8 - Robert Devereux, 2nd Earl of Essex, rebels against Elizabeth I of England - revolt is quickly crushed February 25 - Robert Devereux beheaded Jesuit Matteo Ricci arrives in China Bad harvest in Russia due to rainy summer Dutch troops drive Portuguese from MÃ¡laga Battle of Kinsale, Ireland Births...

Advisor to Emperor Rudolph II

Kepler's primary obligation as imperial mathematician was to provide astrological advice to the emperor. Though Kepler took a dim view of the attempts of contemporary astrologers to precisely predict the future or divine specific events, he had been casting detailed horoscopes for friends, family and patrons since his time as a student in Tübingen. In addition to horoscopes for allies and foreign leaders, the emperor sought Kepler's advice in times of political trouble (though Kepler's recommendations were based more on common sense than the stars). Rudolph was actively interested in the work of many of his court scholars (including numerous alchemists) and kept up with Kepler's work in physical astronomy as well.^[26] A horoscope calculated for January 1, 2000 at 12:01:00 A.M. Eastern Standard Time in New York City, New York, USA (Longitude: 074W0023 - Latitude: 40N4251). In astrology, a horoscope is a chart or diagram representing the positions of the Sun, Moon, planets, the astrological aspects, and...

Officially, the only acceptable religious doctrines in Prague were Catholic and Utraquist, but Kepler's position in the imperial court allowed him to practice his Lutheran faith unhindered. The emperor nominally provided an ample income for his family, but the difficulties of the over-extended imperial treasury meant that actually getting hold of enough money to meet financial obligations was a continual struggle. Partly because of financial troubles, his life at home with Barbara was unpleasant, marred with bickering and bouts of sickness. Court life, however, brought Kepler into contact with other prominent scholars (Johannes Matthäus Wackher von Wackhenfels, Jost Bürgi, David Fabricius, Martin Bachazek, and Johannes Brengger, among others) and astronomical work proceeded rapidly.^[27] The Roman Catholic Church, most often spoken of simply as the Catholic Church, is the largest Christian church, with over one billion members. ... The Utraquists (Both-kinders) were moderate followers of Jan Hus, who maintained that the Eucharist should be administered to the people in both kinds, i. ... Matthaeus Wacker von Wackenfels (1550 - 1619) He was born in Konstanz and studied in Strasbourg, Geneva and Padua. ... Joost BÃ¼rgi, or Jobst BÃ¼rgi (February 28, 1552, Lichtensteig, Switzerland - January 31, 1632, Kassel, Hesse-Kassel) was a Swiss clockmaker and mathematician. ... David and Johannes Fabricius were father and son astronomers from Frisia. ...

Astronomiae Pars Optica

As he continued analyzing Tycho's Mars observations — now available to him in their entirety — and began the slow process of tabulating the Rudolphine Tables, Kepler also picked up the investigation of the laws of optics from his lunar essay of 1600. Both lunar and solar eclipses presented unexplained phenomena, such as unexpected shadow sizes, the red color of a total lunar eclipse, and the reportedly unusual light surrounding a total solar eclipse. Related issues of atmospheric refraction applied to all astronomical observations. Through most of 1603, Kepler paused his other work to focus on optical theory; the resulting manuscript, presented to the emperor on January 1, 1604, was published as Astronomiae Pars Optica (The Optical Part of Astronomy). In it, Kepler described the inverse-square law governing the intensity of light, reflection by flat and curved mirrors, and principles of pinhole cameras, as well as the astronomical implications of optics such as parallax and the apparent sizes of heavenly bodies. Astronomiae Pars Optica is generally recognized as the foundation of modern optics (though the law of refraction is conspicuously absent).^[28] Image File history File links Download high-resolution version (3547x4748, 3017 KB) A plate from Johannes Keplers Ad Vitellionem Paralipomena, quibus Astronomiae Pars Optica (1604), illustrating the structure of eyes. ... Image File history File links Download high-resolution version (3547x4748, 3017 KB) A plate from Johannes Keplers Ad Vitellionem Paralipomena, quibus Astronomiae Pars Optica (1604), illustrating the structure of eyes. ... Photo taken during the 1999 eclipse. ... Atmospheric refraction is the deviation of light or other electromagnetic wave from a straight line as it passes through the atmosphere due to the variation in air density as a function of altitude. ... is the 1st day of the year in the Gregorian calendar. ... Events January 14 â€“ Hampton Court conference with James I of England, the Anglican bishops and representatives of Puritans September 20 â€“ Capture of Ostend by Spanish forces under Ambrosio Spinola after a three year siege. ... Principle of a pinhole camera. ... For other uses, see Parallax (disambiguation). ... ...

The Supernova of 1604

In October 1604, a bright new evening star (SN 1604) appeared, but Kepler did not believe the rumors until he saw it himself. Kepler began systematically observing the star. Astrologically, the end of 1603 marked the beginning of a fiery trigon, the start of the ca. 800-year cycle of great conjunctions; astrologers associated the two previous such periods with the rise of Charlemagne (ca. 800 years earlier) and the birth of Christ (ca. 1600 years earlier), and thus expected events of great portent, especially regarding the emperor. It was in this context, as the imperial mathematician and astrologer to the emperor, that Kepler described the new star two years later in his De Stella Nova. In it, Kepler addressed the star's astronomical properties while taking a skeptical approach to the many astrological interpretations then circulating. He noted its fading luminosity, speculated about its origin, and used the lack of observed parallax to argue that it was in the sphere of fixed stars, further undermining the doctrine of the immutability of the heavens (the idea accepted since Aristotle that the celestial spheres were perfect and unchanging). The birth of a new star implied the variability of the heavens. In an appendix, Kepler also discussed the recent chronology work of Laurentius Suslyga; he calculated that, if Suslyga was correct that accepted timelines were four years behind, then the Star of Bethlehem — analogous to the present new star — would have coincided with the first great conjunction of the earlier 800-year cycle.^[29] Download high resolution version (750x750, 53 KB)Remnants of Keplers Supernova (SN 1604). ... Download high resolution version (750x750, 53 KB)Remnants of Keplers Supernova (SN 1604). ... Supernova 1604, also known as Keplers Supernova or Keplers Star, was a supernova in the Milky Way, in the constellation Ophiuchus. ... Supernova 1604, also known as Keplers Supernova or Keplers Star, was a supernova in the Milky Way, in the constellation Ophiuchus. ... In astrology, a fire sign refers to any of the three signs Aries, Leo or Sagittarius. ... A Great Conjunction (also known as a Grand Conjunction) is a conjunction of the planets Jupiter and Saturn. ... For other uses, see Charlemagne (disambiguation). ... Icon of Christ in a Greek Orthodox church This page is about the title, office or what is known in Christian theology as the Divine Person. ... The celestial spheres relate to Johannes Keplers work Harmonia Mundi in which he drew together theories from the world of music, architecture, planetary motion and astronomy and linked them together to form an idea of a harmony and cohesion underlying all world phenomena and ruled by a divine force. ... For the novel by Michael Crichton, see Timeline (novel). ... Adoration of the Magi by Florentine painter Giotto di Bondone (1267-1337). ...

Download high resolution version (499x754, 220 KB)Illustration by Kepler from his book De Stella Nova in Pede Serpentarii (On the New Star in Ophiuchuss Foot) indicating the location of the 1604 supernova. ... Download high resolution version (499x754, 220 KB)Illustration by Kepler from his book De Stella Nova in Pede Serpentarii (On the New Star in Ophiuchuss Foot) indicating the location of the 1604 supernova. ... Ophiuchus (IPA: ), formerly referred to as Serpentarius (IPA: ), the former originating in the Greek language and the latter in the Latin language, both meaning serpent-holder, is one of the 88 constellations and was also one of the 48 listed by Ptolemy. ...

Astronomia nova

The extended line of research that culminated in Astronomia nova (A New Astronomy) — including the first two laws of planetary motion — began with the analysis, under Tycho's direction, of Mars' orbit. Kepler calculated and recalculated various approximations of Mars' orbit using an equant (the mathematical tool that Copernicus had eliminated with his system), eventually creating a model that generally agreed with Tycho's observations to within two arcminutes (the average measurement error). But he was not satisfied with the complex and still slightly inaccurate result; at certain points the model differed from the data by up to eight arcminutes. The wide array of traditional mathematical astronomy methods having failed him, Kepler set about trying to fit an ovoid orbit to the data.^[30] Astronomia nova (A new astronomy), written by Johannes Kepler and published in 1609, set out the evidence for what came to be known as Keplers laws of planetary motion. ... Illustration of Keplers three laws with two planetary orbits. ... Adjectives: Martian Atmosphere Surface pressure: 0. ... Equant is a mathematical concept developed by Claudius Ptolemy in the 2nd century AD to account for the observed motion of heavenly bodies. ... A minute of arc, arcminute, or MOA is a unit of angular measurement, equal to one sixtieth (1/60) of one degree. ...

Within Kepler's religious view of the cosmos, the Sun (a symbol of God the Father) was the source of motive force in the solar system. As a physical basis, Kepler drew by analogy on William Gilbert's theory of the magnetic soul of the Earth from De Magnete (1600) and on his own work on optics. Kepler supposed that the motive power (or motive species)^[31] radiated by the Sun weakens with distance, causing faster or slower motion as planets move closer or farther from it.^[32]^[33] Perhaps this assumption entailed a mathematical relationship that would restore astronomical order. Based on measurements of the aphelion and perihelion of the Earth and Mars, he created a formula in which a planet's rate of motion is inversely proportional to its distance from the Sun. Verifying this relationship throughout the orbital cycle, however, required very extensive calculation; to simplify this task, by late 1602 Kepler reformulated the proportion in terms of geometry: planets sweep out equal areas in equal times — the second law of planetary motion.^[34] In many religions, the supreme God is given the title and attributions of Father. ... For other persons named William Gilbert, see William Gilbert (disambiguation). ... De Magnete, Magneticisque Corporibus, et de Magno Magnete Tellure (On the Magnet and Magnetic Bodies, and on That Great Magnet the Earth) is a scientific work published in 1600 by the English physician and scientist William Gilbert. ... This article is about several astronomical terms (apogee & perigee, aphelion & perihelion, generic equivalents based on apsis, and related but rarer terms. ... This article is about several astronomical terms (apogee & perigee, aphelion & perihelion, generic equivalents based on apsis, and related but rarer terms. ...

He then set about calculating the entire orbit of Mars, using the geometrical rate law and assuming an egg-shaped ovoid orbit. After approximately 40 failed attempts, in early 1605 he at last hit upon the idea of an ellipse, which he had previously assumed to be too simple a solution for earlier astronomers to have overlooked. Finding that an elliptical orbit fit the Mars data, he immediately concluded that all planets move in ellipses, with the sun at one focus — the first law of planetary motion. Because he employed no calculating assistants, however, he did not extend the mathematical analysis beyond Mars. By the end of the year, he completed the manuscript for Astronomia nova, though it would not be published until 1609 due to legal disputes over the use of Tycho's observations, the property of his heirs.^[35] Image File history File links Kepler_Mars_retrograde. ... Image File history File links Kepler_Mars_retrograde. ... The geocentric model (in Greek: geo = earth and centron = centre) of the universe is a paradigm which places the Earth at its center. ... This article is about retrograde motion. ... An oval or ovoid was originally an egg shape (from Latin OVVM); it is now usually used to refer to ellipses, but can also mean any similar shape, such as egg shapes or race-course shapes (a semicircle on either side of a quadrilateral). ... For other uses, see Ellipse (disambiguation). ...

Dioptrice, the Somnium manuscript, and other work

In the years following the completion of Astronomia Nova, most of Kepler's research was focused on preparations for the Rudolphine Tables and a comprehensive set of ephemerides (specific predictions of planet and star positions) based on the table (though neither would be completed for many years). He also attempted (unsuccessfully) to begin a collaboration with Italian astronomer Giovanni Antonio Magini. Some of his other work dealt with chronology, especially the dating of events in the life of Jesus, and with astrology, especially criticism of dramatic predictions of catastrophe such as those of Helisaeus Roeslin.^[36] An ephemeris (plural: ephemerides) (from the Greek word ephemeros= daily) was, traditionally, a table providing the positions (given in a Cartesian coordinate system, or in right ascension and declination or, for astrologers, in longitude along the zodiacal ecliptic), of the Sun, the Moon, and the planets in the sky at... Maginis atlas Giovanni Antonio Magini (in Latin, Maginus) (June 13, 1555--February 11, 1617) was an Italian astronomer, astrologer, cartographer, and mathematician. ... For the novel by Michael Crichton, see Timeline (novel). ... The chronology of Jesus depicts the traditional chronology established for the events of the life of Jesus by the four canonical gospels (which allude to various dates for several events). ...

Kepler and Roeslin engaged in series of published attacks and counter-attacks, while physician Philip Feselius published a work dismissing astrology altogether (and Roeslin's work in particular). In response to what Kepler saw as the excesses of astrology on the one hand and overzealous rejection of it on the other, Kepler prepared Tertius Interveniens (Third-party Interventions). Nominally this work — presented to the common patron of Roeslin and Feselius — was a neutral mediation between the feuding scholars, but it also set out Kepler's general views on the value of astrology, including some hypothesized mechanisms of interaction between planets and individual souls. While Kepler considered most traditional rules and methods of astrology to be the "evil-smelling dung" in which "an industrious hen" scrapes, there was "also perhaps a good little grain" to be found by the conscientious scientific astrologer.^[37]

In the first months of 1610, Galileo Galilei — using his powerful new telescope — discovered four satellites orbiting Jupiter. Upon publishing his account as Sidereus Nuncius (Starry Messenger), Galileo sought the opinion of Kepler, in part to bolster the credibility of his observations. Kepler responded enthusiastically with a short published reply, Dissertatio cum Nuncio Sidereo (Conversation with the Starry Messenger). He endorsed Galileo's observations and offered a range of speculations about the meaning and implications of Galileo's discoveries and telescopic methods, for astronomy and optics as well as cosmology and astrology. Later that year, Kepler published his own telescopic observations of the moons in Narratio de Jovis Satellitibus, providing further support of Galileo. To Kepler's disappointment, however, Galileo never published his reactions (if any) to Astronomia Nova.^[38] Galileo redirects here. ... This article does not cite any references or sources. ... For other uses, see Jupiter (disambiguation). ... Sidereus Nuncius (usually translated into English as Sidereal Messenger, although Starry Messenger and Sidereal Message are also seen) is a short treatise published in Latin by Galileo Galilei in March 1610. ...

After hearing of Galileo's telescopic discoveries, Kepler also started a theoretical and experimental investigation of telescopic optics using a telescope borrowed from Duke Ernest of Cologne.^[39] The resulting manuscript was completed in September of 1610 and published as Dioptrice in 1611. In it, Kepler set out the theoretical basis of double-convex converging lenses and double-concave diverging lenses — and how they are combined to produce a Galilean telescope — as well as the concepts of real vs. virtual images, upright vs. inverted images, and the effects of focal length on magnification and reduction. He also described an improved telescope — now known as the astronomical or Keplerian telescope — in which two convex lenses can produce higher magnification than Galileo's combination of convex and concave lenses.^[40] Image of a refracting telescope from the Cincinnati Observatory in 1848 A refracting or refractor telescope is a dioptric telescope that uses a lens as its objective to form an image. ... Top: The formation of a real image using a convex lens. ... Top: The formation of a virtual image using a concave lens. ... Image of a refracting telescope from the Cincinnati Observatory in 1848 A refracting or refractor telescope is a dioptric telescope that uses a lens as its objective to form an image. ...

Around 1611, Kepler circulated a manuscript of what would eventually be published (posthumously) as Somnium (The Dream). Part of the purpose of Somnium was to describe what practicing astronomy would be like from the perspective of another planet, to show the feasibility of a non-geocentric system. The manuscript, which disappeared after changing hands several times, described a fantastic trip to the moon; it was part allegory, part autobiography, and part treatise on interplanetary travel (and is sometimes described as the first work of science fiction). Years later, a distorted version of the story may have instigated the witchcraft trial against his mother, as the mother of the narrator consults a demon to learn the means of space travel. Following her eventual acquittal, Kepler composed 223 footnotes to the story — several times longer than the actual text — which explained the allegorical aspects as well as the considerable scientific content (particularly regarding lunar geography) hidden within the text.^[41] Image File history File links Kepler_conjecture_2. ... Image File history File links Kepler_conjecture_2. ... In mathematics, the Kepler conjecture is a conjecture about sphere packing in three dimensional Euclidean space. ... Somnium (Latin for The Dream) is a fantasy written between 1620 and 1630 by Johannes Kepler in which a student of Tycho Brahe is transported to the Moon by occult forces. ... Science fiction is a form of speculative fiction principally dealing with the impact of imagined science and technology, or both, upon society and persons as individuals. ...

As a New Year's gift that year, he also composed for his friend and some-time patron Baron Wackher von Wackhenfels a short pamphlet entitled Strena Seu de Nive Sexangula (A New Year's Gift of Hexagonal Snow). In this treatise, he investigated the hexagonal symmetry of snowflakes and, extending the discussion into a hypothetical atomistic physical basis for the symmetry, posed what later became known as the Kepler conjecture, a statement about the most efficient arrangement for packing spheres.^[42] Concern has been expressed that this article or section is missing information about: discussions of existence of atoms among prominent physicists up to the end of 19th century. ... In mathematics, the Kepler conjecture is a conjecture about sphere packing in three dimensional Euclidean space. ...

Personal and political troubles

In 1611, the growing political-religious tension in Prague came to a head. Emperor Rudolph — whose health was failing — was forced to abdicate as King of Bohemia by his brother Matthias. Both sides sought Kepler's astrological advice, an opportunity he used to deliver conciliatory political advice (with little reference to the stars, except in general statements to discourage drastic action). However, it was clear that Kepler's future prospects in the court of Matthias were dim.^[43] Holy Roman Emperor Rudolf II Rudolph IIs personal imperial crown, later crown of the Austrian Empire Rudolf II Habsburg was an emperor of the Holy Roman Empire, king of Bohemia, and king of Hungary. ... The Lands of the Czech /Bohemian/ Crown (Czech zemÄ› Koruny ÄeskÃ©, Latin Corona regni Bohemiae) (e. ... Holy Roman Emperor Matthias Matthias (February 24, 1557 - March 20, 1619) of the House of Habsburg reigned as Holy Roman Emperor from 1612-1619, as King of Hungary from 1608-1619 (as Matthias II), and as King of Bohemia from 1611-1617. ...

Also in that year, Barbara Kepler contracted Hungarian spotted fever, then began having seizures. As Barbara was recovering, Kepler's three children all fell sick with smallpox; Friedrich, 6, died. Following his son's death, Kepler sent letters to potential patrons in Württemberg and Padua. At the University of Tübingen in Württemberg, concerns over Kepler's perceived Calvinist heresies in violation of the Augsburg Confession and the Formula of Concord prevented his return. The University of Padua — on the recommendation of the departing Galileo — sought Kepler to fill the mathematics professorship, but Kepler, preferring to keep his family in German territory, instead travelled to Austria to arrange a position as teacher and district mathematician in Linz. However, Barbara relapsed into illness and died shortly after Kepler's return.^[44] Species Rickettsia felis Rickettsia prowazekii Rickettsia rickettsii Rickettsia typhi Rickettsia conorii Rickettsia africae etc. ... This article is about epileptic seizures. ... Smallpox (also known by the Latin names Variola or Variola vera) is a contagious disease unique to humans. ... Padua, Italy, (Italian: IPA: , Latin: Patavium, Venetian: ) is a city in the Veneto, northern Italy, the economic and communications hub of the region. ... A view of the campus Eberhard Karls University of TÃ¼bingen (German: Eberhard-Karls-UniversitÃ¤t TÃ¼bingen, sometimes called the Eberhardina) is a public university located in the city of TÃ¼bingen, Baden-WÃ¼rttemberg, Germany. ... Topics in Christianity Movements Â· Denominations Ecumenism Â· Relation to other religions Preaching Â· Prayer Music Â· Liturgy Â· Calendar Symbols Â· Art Â· Criticism Important figures Apostle Paul Â· Church Fathers Constantine Â· Athanasius Â· Augustine Anselm Â· Aquinas Â· Palamas Luther Â· Calvin Â· Wesley Arius Â· Marcion of Sinope Archbishop of Canterbury Â· Pope Coptic Pope Â· Ecumenical Patriarch Christianity Portal This box: Calvinism... Wikisource has original text related to this article: Augsburg Confession The Augsburg Confession, also known as the Augustana from its Latin name, Confessio Augustana, is the primary confession of faith of the Lutheran Church and one of the most important documents of the Lutheran reformation. ... (1577). ... Gymnasivm Patavinum: The Universitys main Bo palace shown in a 1654 woodcut The University of Padua (Italian UniversitÃ degli Studi di Padova, UNIPD) located in Padua, Italy was founded in 1222. ... For the town in Germany, see Linz am Rhein. ...

Kepler postponed the move to Linz and remained in Prague until Rudolph's death in early 1612, though between political upheaval, religious tension, and family tragedy (along with the legal dispute over his wife's estate), Kepler could do no research. Instead, he pieced together a chronology manuscript, Eclogae Chronicae, from correspondence and earlier work. Upon succession as Holy Roman Emperor, Matthias re-affirmed Kepler's position (and salary) as imperial mathematician but allowed him to move to Linz.^[45]

Linz and elsewhere (1612–1630)

In Linz, Kepler's primary responsibilities (beyond completing the Rudolphine Tables) were teaching at the district school and providing astrological and astronomical services. In his first years there, he enjoyed financial security and religious freedom relative to his life in Prague — though he was excluded from Eucharist by his Lutheran church over his theological scruples. His first publication in Linz was De vero Anno (1613), an expanded treatise on the year of Christ's birth; he also participated in deliberations on whether to introduce Pope Gregory's reformed calendar to Protestant German lands; that year he also wrote the influential mathematical treatise Nova stereometria doliorum vinariorum, on measuring the volume of containers such as wine barrels (though it would not be published until 1615).^[46] For other uses, see Eucharist (disambiguation). ... Pope Gregory XIII (January 7, 1502 â€“ April 10, 1585), born Ugo Boncompagni, was Pope from 1572 to 1585. ... For the calendar of religious holidays and periods, see liturgical year. ...

Second marriage

On October 30, 1613, Kepler married the twenty-four-year-old Susanna Reuttinger. Following Barbara's death, Kepler had considered eleven different matches. He eventually returned to Reuttinger (the fifth match) who, he wrote, "won me over with love, humble loyalty, economy of household, diligence, and the love she gave the stepchildren."^[47] The first three children of this marriage (Margareta Regina, Katharina, and Sebald) died in childhood. Three more survived into adulthood: Cordula (b. 1621); Fridmar (b. 1623); and Hildebert (b. 1625). According to Kepler's biographers, this was a much happier marriage than his first.^[48] is the 303rd day of the year (304th in leap years) in the Gregorian calendar. ... Events January - Galileo observes Neptune, but mistakes it for a star and so is not credited with its discovery. ...

Epitome of Copernican Astronomy, calendars, and the witch trial of Kepler's mother

Since completing the Astronomia nova, Kepler had intended to compose an astronomy textbook.^[49] In 1615, he completed the first of three volumes of Epitome astronomia Copernicanae (Epitome of Copernican Astronomy); the first volume (books I-III) was printed in 1617, the second (book IV) in 1620, and the third (books V-VII) in 1621. Despite the title, which referred simply to heliocentrism, Kepler's textbook culminated in his own ellipse-based system. Epitome became Kepler's most influential work. It contained all three laws of planetary motion and attempted to explain heavenly motions through physical causes.^[50] Though it explicitly extended the first two laws of planetary motion (applied to Mars in Astronomia nova) to all the planets as well as the Moon and the Medicean satellites of Jupiter, it did not explain how elliptical orbits could be derived from observational data.^[51] Illustration of Keplers three laws with two planetary orbits. ... Jupiters 4 Galilean moons, in a composite image comparing their sizes and the size of Jupiter (Great Red Spot visible). ...

As a spin-off from the Rudolphine Tables and the related Ephemerides, Kepler published astrological calendars, which were very popular and helped offset the costs of producing his other work — especially when support from the Imperial treasury was withheld. In his calendars — six between 1617 and 1624 — Kepler forecast planetary positions and weather as well as political events; the latter were often cannily accurate, thanks to his keen grasp of contemporary political and theological tensions. By 1624, however, the escalation of those tensions and the ambiguity of the prophecies meant political trouble for Kepler himself; his final calendar was publicly burned in Graz.^[52] An ephemeris (plural: ephemerides) (from the Greek word ephemeros= daily) was, traditionally, a table providing the positions (given in a Cartesian coordinate system, or in right ascension and declination or, for astrologers, in longitude along the zodiacal ecliptic), of the Sun, the Moon, and the planets in the sky at...

In 1615, Ursula Reingold, a woman in a financial dispute with Kepler's brother Cristoph, claimed Kepler's mother Katharina had made her sick with an evil brew. The dispute escalated, and in 1617, Katharina was accused of witchcraft; witchcraft trials were relatively common in central Europe at this time. Beginning in August 1620 she was imprisoned for fourteen months. She was released in October 1621, thanks in part to the extensive legal defense drawn up by Kepler. The accusers had no stronger evidence than rumors, along with a distorted, second-hand version of Kepler's Somnium, in which a woman mixes potions and enlists the aid of a demon. However, Katharina was subjected to territio verbalis, a graphic description of the torture awaiting her as a witch, in a final attempt to make her confess. Throughout the trial, Kepler postponed his other work to focus on his "harmonic theory". The result, published in 1619, was Harmonices Mundi ("Harmony of the Worlds").^[53] Image File history File links Size of this preview: 333 Ã— 599 pixel Image in higher resolution (556 Ã— 1000 pixel, file size: 108 KB, MIME type: image/jpeg) A hand-annotated illustration plate from Johannes Keplers Harmonices mundi (1619), showing the perfect solids. ... Image File history File links Size of this preview: 333 Ã— 599 pixel Image in higher resolution (556 Ã— 1000 pixel, file size: 108 KB, MIME type: image/jpeg) A hand-annotated illustration plate from Johannes Keplers Harmonices mundi (1619), showing the perfect solids. ... Hans Baldung Griens Three Witches, circa 1514. ... â€œFiendâ€ redirects here. ... For other uses, see Torture (disambiguation). ... Harmonices Mundi (Latin: The Harmony of the Worlds, 1619) is a book by Johannes Kepler. ...

Harmonices Mundi

Kepler was convinced "that the geometrical things have provided the Creator with the model for decorating the whole world."^[54] In Harmony, he attempted to explain the proportions of the natural world — particularly the astronomical and astrological aspects — in terms of music. The central set of "harmonies" was the musica universalis or "music of the spheres," which had been studied by Pythagoras, Ptolemy and many others before Kepler; in fact, soon after publishing Harmonices Mundi, Kepler was embroiled in a priority dispute with Robert Fludd, who had recently published his own harmonic theory.^[55] Harmonices Mundi (Latin: The Harmony of the Worlds, 1619) is a book by Johannes Kepler. ... Musica universalis or music of the spheres is a medieval philosophical concept that regards the proportions in the movements of the celestial bodies - the Sun, Moon and planets - as a form of musica (the medieval Latin name for music). ... Pythagoras of Samos (Greek: ; born between 580 and 572 BC, died between 500 and 490 BC) was an Ionian Greek mathematician[1] and founder of the religious movement called Pythagoreanism. ... This article is about the geographer, mathematician and astronomer Ptolemy. ... Robert Fludd Robert Fludd, also known as Robertus de Fluctibus (1574, Bearsted, Kent â€“ September 8, 1637, London) was a prominent English Paracelsian physicist, astrologer, and mystic. ...

Kepler began by exploring regular polygons and regular solids, including the figures that would come to be known as Kepler's solids. From there, he extended his harmonic analysis to music, meteorology and astrology; harmony resulted from the tones made by the souls of heavenly bodies — and in the case of astrology, the interaction between those tones and human souls. In the final portion of the work (Book V), Kepler dealt with planetary motions, especially relationships between orbital velocity and orbital distance from the Sun. Similar relationships had been used by other astronomers, but Kepler — with Tycho's data and his own astronomical theories — treated them much more precisely and attached new physical significance to them.^[56] A regular pentagon A regular polygon is a simple polygon (a polygon which does not intersect itself anywhere) which is equiangular (all angles are equal) and equilateral (all sides have the same length). ... In solid geometry and some ancient physical theories, a Platonic solid is a convex polyhedron with all its faces being congruent regular polygons, and the same number of faces meeting at each of its vertices. ... A single face is colored yellow and outlined in red to help identify the faces. ... The orbital speed of a body, generally a planet, a natural satellite, an artificial satellite, or a multiple star, is the speed at which it orbits around the barycenter of a system, usually around a more massive body. ...

Among many other harmonies, Kepler articulated what came to be known as the third law of planetary motion. He then tried many combinations until he discovered that (approximately) "The square of the periodic times are to each other as the cubes of the mean distances." However, the wider significance for planetary dynamics of this purely kinematical law was not realized until the 1660s. For when conjoined with Christian Huygens' newly discovered law of centrifugal force it enabled Isaac Newton, Edmund Halley and perhaps Christopher Wren and Robert Hooke to demonstrate independently that the presumed gravitational attraction between the Sun and its planets decreased with the square of the distance between them.^[57] This refuted the traditional assumption of scholastic physics that the power of gravitational attraction remained constant with distance whenever it applied between two bodies, such as was assumed by Kepler and also by Galileo in his mistaken universal law that gravitational fall is uniformly accelerated, and also by Galileo's student Borrelli in his 1666 celestial mechanics.^[58] Illustration of Keplers three laws with two planetary orbits. ... Christiaan Huygens Christiaan Huygens (approximate pronunciation: HOW-khens; SAMPA /h9yGEns/ or /h@YG@ns/) (April 14, 1629–July 8, 1695), was a Dutch mathematician and physicist; born in The Hague as the son of Constantijn Huygens. ... Sir Isaac Newton FRS (4 January 1643 â€“ 31 March 1727) [ OS: 25 December 1642 â€“ 20 March 1727][1] was an English physicist, mathematician, astronomer, natural philosopher, and alchemist. ... Edmond Halley. ... Sir Christopher Wren, (20 October 1632â€“25 February 1723) was a 17th century English designer, astronomer, geometrician, and the greatest English architect of his time. ... Robert Hooke, FRS (July 18, 1635 â€“ March 3, 1703) was an English polymath who played an important role in the scientific revolution, through both experimental and theoretical work. ...

Rudolphine Tables and Kepler's last years

In 1623, Kepler at last completed the Rudolphine Tables, which at the time was considered his major work. However, due to the publishing requirements of the emperor and negotiations with Tycho Brahe's heir, it would not be printed until 1627. In the meantime religious tension — the root of the ongoing Thirty Years' War — once again put Kepler and his family in jeopardy. In 1625, agents of the Catholic Counter-Reformation placed most of Kepler's library under seal, and in 1626 the city of Linz was besieged. Kepler moved to Ulm, where he arranged for the printing of the Tables at his own expense.^[59] For the Athenian tyrant, see Hipparchus (son of Pisistratus). ... This article is about the geographer, mathematician and astronomer Ptolemy. ... Nicolaus Copernicus (in Latin; Polish Mikołaj Kopernik, German Nikolaus Kopernikus - February 19, 1473 – May 24, 1543) was a Polish astronomer, mathematician and economist who developed a heliocentric (Sun-centered) theory of the solar system in a form detailed enough to make it scientifically useful. ... This article is about the astronomer. ... The Rudolphine Tables (Latin: Tabulae Rudolphinae) consist of a star catalog and planetary tables published by Johannes Kepler in 1627. ... This article is about the astronomer. ... Combatants Sweden Bohemia Denmark-Norway[1] Dutch Republic France Scotland England Saxony Holy Roman Empire Catholic League Austria Bavaria Spain Commanders Frederick V Buckingham Leven Gustav II Adolf â€ Johan Baner Cardinal Richelieu Louis II de Bourbon Vicomte de Turenne Christian IV of Denmark Bernhard of Saxe-Weimar Johann Georg I... The Counter-Reformation or the Catholic Reformation was a strong reaffirmation of the doctrine and structure of the Catholic Church, climaxing at the Council of Trent, partly in reaction to the growth of Protestantism. ... For other uses, see Ulm (disambiguation). ...

In 1628, following the military successes of the Emperor Ferdinand's armies under General Wallenstein, Kepler became an official adviser to Wallenstein. Though not the general's court astrologer per se, Kepler provided astronomical calculations for Wallenstein's astrologers and occasionally wrote horoscopes himself. In his final years, Kepler spent much of his time traveling, from court in Prague to Linz and Ulm to a temporary home in Sagan, and finally to Regensburg. Soon after arriving in Regensburg, Kepler fell ill. He died on November 15, 1630, and was buried there; his burial site was lost after the army of Gustavus Adolphus destroyed the churchyard.^[60] Image File history File links No higher resolution available. ... Image File history File links No higher resolution available. ... A horoscope calculated for January 1, 2000 at 12:01:00 A.M. Eastern Standard Time in New York City, New York, USA (Longitude: 074W0023 - Latitude: 40N4251). In astrology, a horoscope is a chart or diagram representing the positions of the Sun, Moon, planets, the astrological aspects, and... (also Waldstein; Czech: ;[1] September 24, 1583 â€“ February 25, 1634)[2] was a Bohemian soldier and politician who gave his services (an army of 30,000 to 100,000 men) during the Danish Period of the Thirty Years War to Ferdinand II for no charge except the right to plunder... Emperor Ferdinand II Ferdinand II (July 9, 1578 â€“ February 15, 1637), of the House of Habsburg, reigned as Holy Roman Emperor from 1620-1637. ... (also Waldstein; Czech: ;[1] September 24, 1583 â€“ February 25, 1634)[2] was a Bohemian soldier and politician who gave his services (an army of 30,000 to 100,000 men) during the Danish Period of the Thirty Years War to Ferdinand II for no charge except the right to plunder... CoA of Å»agaÅ„ Å»agaÅ„ (French and German Sagan) is a town in western Poland with 26,500 inhabitants (2004). ... Regensburg (also Ratisbon, Latin Ratisbona) is a city (population 151. ... is the 319th day of the year (320th in leap years) in the Gregorian calendar. ... Events February 22 - Native American Quadequine introduces Popcorn to English colonists. ... Gustav II Adolph Gustav II Adolph (December 9, 1594 - November 6, 1632) (also known as Gustav Adolph the Great, under the Latin name Gustavus Adolphus or the Swedish form Gustav II Adolf) was a King of Sweden. ...

Reception of Kepler's astronomy

Kepler's laws were not immediately accepted. Several major figures such as Galileo and René Descartes completely ignored Kepler's Astronomia nova. Many astronomers, including Kepler's teacher, Michael Maestlin, objected to Kepler's introduction of physics into his astronomy. Some adopted compromise positions. Ismael Boulliau accepted elliptical orbits but replaced Kepler's area law with uniform motion in respect to the empty focus of the ellipse while Seth Ward used an elliptical orbit with motions defined by an equant.^[61]^[62]^[63] Classical mechanics (commonly confused with Newtonian mechanics, which is a subfield thereof) is used for describing the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies. ... Newtons First and Second laws, in Latin, from the original 1687 edition of the Principia Mathematica. ... The Greeks, and Aristotle in particular, were the first to propose that there are abstract principles governing nature. ... This article is about the idea of space. ... This article is about the concept of time. ... For other uses, see Mass (disambiguation). ... For other uses, see Force (disambiguation). ... This article is about momentum in physics. ... Newtons First and Second laws, in Latin, from the original 1687 edition of the Principia Mathematica. ... Lagrangian mechanics is a re-formulation of classical mechanics that combines conservation of momentum with conservation of energy. ... Hamiltonian mechanics is a re-formulation of classical mechanics that was invented in 1833 by William Rowan Hamilton. ... Applied mechanics, also known as theoretical and applied mechanics, is a branch of the physical sciences and the practical application of mechanics. ... Celestial mechanics is a division of astronomy dealing with the motions and gravitational effects of celestial objects. ... Continuum mechanics is a branch of physics (specifically mechanics) that deals with continuous matter, including both solids and fluids (i. ... See also list of optical topics. ... Statistical mechanics is the application of probability theory, which includes mathematical tools for dealing with large populations, to the field of mechanics, which is concerned with the motion of particles or objects when subjected to a force. ... Galileo redirects here. ... Sir Isaac Newton FRS (4 January 1643 â€“ 31 March 1727) [ OS: 25 December 1642 â€“ 20 March 1727][1] was an English physicist, mathematician, astronomer, natural philosopher, and alchemist. ... Pierre-Simon, marquis de Laplace (March 23, 1749 - March 5, 1827) was a French mathematician and astronomer whose work was pivotal to the development of mathematical astronomy. ... For other persons named William Hamilton, see William Hamilton (disambiguation). ... Jean le Rond dAlembert, pastel by Maurice Quentin de La Tour Jean le Rond dAlembert (November 16, 1717 â€“ October 29, 1783) was a French mathematician, mechanician, physicist and philosopher. ... Augustin Louis Cauchy (August 21, 1789 â€“ May 23, 1857) was a French mathematician. ... Joseph-Louis, comte de Lagrange (January 25, 1736 Turin, Kingdom of Sardinia - April 10, 1813 Paris) was an Italian-French mathematician and astronomer who made important contributions to all fields of analysis and number theory and to classical and celestial mechanics as arguably the greatest mathematician of the 18th century. ... Euler redirects here. ... Descartes redirects here. ... Michael Maestlin (1550-1631) was a German astronomer and mathematician. ... IsmaÃ«l Bullialdus IsmaÃ«l Bullialdus (September 28, 1605 - November 25, 1694) was a French astronomer. ... Seth Ward (1617 – 6 January 1689) was an English mathematician, astronomer, and bishop. ... Equant is a mathematical concept developed by Claudius Ptolemy in the 2nd century AD to account for the observed motion of heavenly bodies. ...

Several astronomers tested Kepler's theory, and its various modifications, against astronomical observations. Two transits of Venus and Mercury across the face of the sun provided sensitive tests of the theory, under circumstances when these planets could not normally be observed. In the case of the transit of Mercury in 1631, Kepler had been extremely uncertain of the parameters for Mercury, and advised observers to look for the transit the day before and after the predicted date. Pierre Gassendi observed the transit on the date predicted, a confirmation of Kepler's prediction.^[64] This was the first observation of a transit of Mercury. However, his attempt to observe the transit of Venus just one month later, was unsuccessful due to inaccuracies in the Rudolphine Tables. Gassendi did not realize that it was not visible from most of Europe, including Paris.^[65] Jeremiah Horrocks, who observed the 1639 Venus transit, had used his own observations to adjust the parameters of the Keplerian model, predicted the transit, and then built apparatus to observe the transit. He remained a firm advocate of the Keplerian model.^[66]^[67]^[68] Pierre Gassendi (January 22, 1592 â€“ October 24, 1655) was a French philosopher, scientist and mathematician, best known for attempting to reconcile Epicurean atomism with Christianity and for publishing the first official observations of the Transit of Mercury in 1631. ... This article is about the astronomical phenomenon. ... This article is about the capital of France. ... Jeremiah Horrocks making the first observation of the transit of Venus in 1639 Jeremiah Horrocks (1618 â€“ January 3, 1641), sometimes given as Jeremiah Horrox, was an English astronomer who was the only person to predict, and one of only two people to observe and record, the transit of Venus of...

Epitome of Copernican Astronomy was read by astronomers throughout Europe, and following Kepler's death it was the main vehicle for spreading Kepler's ideas. Between 1630 and 1650, it was the most widely used astronomy textbook, winning many converts to ellipse-based astronomy.^[69] However, few adopted his ideas on the physical basis for celestial motions. In the late seventeenth century, a number of physical astronomy theories drawing from Kepler's work — notably those of Giovanni Alfonso Borelli and Robert Hooke — began to incorporate attractive forces (though not the quasi-spiritual motive species postulated by Kepler) and the Cartesian concept of inertia. This culminated in Isaac Newton's Principia Mathematica (1687), in which Newton derived Kepler's laws of planetary motion from a force-based theory of universal gravitation.^[70] Giovanni Alfonso Borelli. ... Robert Hooke, FRS (July 18, 1635 â€“ March 3, 1703) was an English polymath who played an important role in the scientific revolution, through both experimental and theoretical work. ... Descartes redirects here. ... The principle of inertia is one of the fundamental principles of classical physics used to describe the normal motion of matter, and how it is affected by applied forces. ... Sir Isaac Newton FRS (4 January 1643 â€“ 31 March 1727) [ OS: 25 December 1642 â€“ 20 March 1727][1] was an English physicist, mathematician, astronomer, natural philosopher, and alchemist. ... Newtons own copy of his Principia, with handwritten corrections for the second edition. ... Isaac Newtons theory of universal gravitation (part of classical mechanics) states the following: Every single point mass attracts every other point mass by a force pointing along the line combining the two. ...

Kepler's historical and cultural legacy

Beyond his role in the historical development of astronomy and natural philosophy, Kepler has loomed large in the philosophy and historiography of science. Kepler and his laws of motion were central to early histories of astronomy such as Jean Etienne Montucla’s 1758 Histoire des mathématiques and Jean-Baptiste Delambre's 1821 Histoire de l’astronomie moderne. These and other histories written from an Enlightenment perspective treated Kepler's metaphysical and religious arguments with skepticism and disapproval, but later Romantic-era natural philosophers viewed these elements as central to his success. William Whewell, in his influential History of the Inductive Sciences of 1837, found Kepler to be the archetype of the inductive scientific genius; in his Philosophy of the Inductive Sciences of 1840, Whewell held Kepler up as the embodiment of the most advanced forms of scientific method. Similarly, Ernst Friedrich Apelt — the first to extensively study Kepler's manuscripts, after their purchase by Catherine the Great — identified Kepler as a key to the "Revolution of the sciences". Apelt, who saw Kepler's mathematics, aesthetic sensibility, physical ideas, and theology as part of a unified system of thought, produced the first extended analysis of Kepler's life and work.^[71] Image File history File linksMetadata Download high resolution version (1250x1030, 441 KB) Monument of Tycho Brahe and Johannes Kepler in Prague, Czechia File links The following pages on the English Wikipedia link to this file (pages on other projects are not listed): Johannes Kepler Tycho Brahe Metadata This file contains... Image File history File linksMetadata Download high resolution version (1250x1030, 441 KB) Monument of Tycho Brahe and Johannes Kepler in Prague, Czechia File links The following pages on the English Wikipedia link to this file (pages on other projects are not listed): Johannes Kepler Tycho Brahe Metadata This file contains... For other uses, see Prague (disambiguation). ... Image File history File links Download high resolution version (384x629, 92 KB)The GDR stamp featuring Johannes Kepler. ... Image File history File links Download high resolution version (384x629, 92 KB)The GDR stamp featuring Johannes Kepler. ... This article is about the state which existed from 1949 to 1990. ... Philosophy of science is the study of assumptions, foundations, and implications of science, especially in the natural sciences and social sciences. ... The historiography of science is the historical study of the history of science (which often overlaps the history of technology, the history of medicine, and the history of mathematics). ... Jean-Ã‰tienne Montucla. ... Jean Baptiste Joseph Delambre (September 19, 1749 in Amiens â€“ August 19, 1822 in Paris) was a French mathematician and astronomer. ... The word Enlightment redirects here. ... Romanticism, also known as the â€œAge of Reflexion,â€ describes the intellectual movement from 1800-1840 that originated in Western Europe as a counter-movement to the Enlightenment of the late 18th century. ... William Whewell In later life William Whewell (May 24, 1794 â€“ March 6, 1866) was an English polymath, scientist, Anglican priest, philosopher, theologian, and historian of science. ... Scientific method is a body of techniques for investigating phenomena, acquiring new knowledge, or correcting and integrating previous knowledge. ... Ernst Friedrich Apelt (1812 â€“ 1859) was a German philosopher and entrepreneur. ... Catherine II (Екатерина II Алексеевна: Yekaterína II Alekséyevna, April 21, 1729 - November 6, 1796), born Sophie Augusta Fredericka, known as Catherine the Great, reigned as empress of Russia from June 28, 1762, to her death on November 6, 1796. ...

Modern translations of a number of Kepler's books appeared in the late-nineteenth and early-twentieth centuries, the systematic publication of his collected works began in 1937 (and is nearing completion in the early twenty-first century), and Max Caspar's seminal Kepler biography was published in 1948.^[72] However, Alexandre Koyré's work on Kepler was, after Apelt, the first major milestone in historical interpretations of Kepler's cosmology and its influence. In the 1930s and 1940s Koyré, and a number of others in the first generation of professional historians of science, described the "Scientific Revolution" as the central event in the history of science, and Kepler as a (perhaps the) central figure in the revolution. Koyré placed Kepler's theorization, rather than his empirical work, at the center of the intellectual transformation from ancient to modern world-views. Since the 1960s, the volume of historical Kepler scholarship has expanded greatly, including studies of his astrology and meteorology, his geometrical methods, the role of his religious views in his work, his literary and rhetorical methods, his interaction with the broader cultural and philosophical currents of his time, and even his role as an historian of science.^[73] Alexandre KoyrÃ© Alexandre KoyrÃ© (1882/1892, Taganrog - April 28, 1964, Paris) was a French philosopher of Russian origin who wrote on history and the philosophy of science. ... This article is about the period or event in history. ...

The debate over Kepler's place in the Scientific Revolution has also spawned a wide variety of philosophical and popular treatments. One of the most influential is Arthur Koestler's 1959 The Sleepwalkers, in which Kepler is unambiguously the hero (morally and theologically as well as intellectually) of the revolution.^[74] Influential philosophers of science — such as Charles Sanders Peirce, Norwood Russell Hanson, Stephen Toulmin, and Karl Popper — have repeatedly turned to Kepler: examples of incommensurability, analogical reasoning, falsification, and many other philosophical concepts have been found in Kepler's work. Physicist Wolfgang Pauli even used Kepler's priority dispute with Robert Fludd to explore the implications of analytical psychology on scientific investigation.^[75] A well-received, if fanciful, historical novel by John Banville, Kepler (1981), explored many of the themes developed in Koestler's non-fiction narrative and in the philosophy of science.^[76] Somewhat more fanciful is a recent work of nonfiction, Heavenly Intrigue (2004), suggesting that Kepler murdered Tycho Brahe to gain access to his data.^[77] Kepler has acquired a popular image as an icon of scientific modernity and a man before his time; science popularizer Carl Sagan described him as "the first astrophysicist and the last scientific astrologer."^[78] Arthur Koestler (September 5, 1905, Budapest â€“ March 3, 1983, London) was a Hungarian polymath who became a naturalized British subject. ... Charles Sanders Peirce Charles Sanders Peirce (September 10, 1839 – April 19, 1914) was an American logician, philosopher, scientist, and mathematician. ... Norwood Russell Hanson (1925 â€“ 1967) was a philosopher of science. ... Stephen Edelston Toulmin (born March 25, 1922) is a British philosopher, author, and educator. ... Sir Karl Raimund Popper (July 28, 1902 â€“ September 17, 1994) was an Austrian and British[1] philosopher and a professor at the London School of Economics. ... // Commensurability in general Generally, two quantities are commensurable if both can be measured in the same units. ... Analogy is both the cognitive process of transferring information from a particular subject (the analogue or source) to another particular subject (the target), and a linguistic expression corresponding to such a process. ... Falsifiability (or refutability or testability) is the logical possibility that an assertion can be shown false by an observation or a physical experiment. ... This article is about the Austrian-Swiss physicist. ... Robert Fludd Robert Fludd, also known as Robertus de Fluctibus (1574, Bearsted, Kent â€“ September 8, 1637, London) was a prominent English Paracelsian physicist, astrologer, and mystic. ... Analytical psychology (or Jungian psychology) refers to the school of psychology originating from the ideas of Swiss psychiatrist Carl Jung, and then advanced by his students and other thinkers who followed in his tradition. ... John Banville (born 8 December 1945) is an Irish novelist and journalist. ... This article is about the astronomer. ... Insert non-formatted text here Carl Edward Sagan (November 9, 1934 â€“ December 20, 1996) was an American astronomer and astrobiologist and a highly successful popularizer of astronomy, astrophysics, and other natural sciences. ... Spiral Galaxy ESO 269-57 Astrophysics is the branch of astronomy that deals with the physics of the universe, including the physical properties (luminosity, density, temperature, and chemical composition) of celestial objects such as stars, galaxies, and the interstellar medium, as well as their interactions. ...

In Austria, Johannes Kepler has left such a historical legacy behind, that he was motive of one of the most famous silver collectors coins: the 10 euro Johannes Kepler silver coin minted in September 10, 2002. is the 253rd day of the year (254th in leap years) in the Gregorian calendar. ... Also see: 2002 (number). ...

The reverse side of the coin has a portrait of Johannes Kepler, who spent some time teaching in Graz and the surrounding areas. Kepler was acquainted with Hans Ulrich von Eggenberg personally, and most probably he knew and influenced the construction of Eggenberg Castle (the main motive of the coin). In front of him on the coin is a model of his masterpiece, the “Mysterium Cosmographicum”. Prince Hans Ulrich von Eggenberg (1568â€“October 18, 1634), was an Austrian statesman, a son of Siegfried von Eggenberg (died 1594). ...

Writings by Kepler

Image File history File links Size of this preview: 595 Ã— 600 pixel Image in higher resolution (904 Ã— 911 pixel, file size: 125 KB, MIME type: image/jpeg) In this orbital view from Apollo 12, the large crater in the center is Kepler as viewed from the south. ... Image File history File links Size of this preview: 595 Ã— 600 pixel Image in higher resolution (904 Ã— 911 pixel, file size: 125 KB, MIME type: image/jpeg) In this orbital view from Apollo 12, the large crater in the center is Kepler as viewed from the south. ... Kepler is a young lunar impact crater that lies between the Oceanus Procellarum to the west and Mare Insularum in the east. ... Mysterium Cosmographicum, (The Sacred Mystery of the Cosmos [Explained]) (alternately translated Cosmic Mystery, The Secret of the World or some variation) is an astronomy book by the German astronomer Johannes Kepler, published at TÃ¼bingen in 1596. ... Astronomia nova (A new astronomy), written by Johannes Kepler and published in 1609, set out the evidence for what came to be known as Keplers laws of planetary motion. ... Harmonice Mundi (1619) is a book by Johannes Kepler. ... Mysterium Cosmographicum, (The Sacred Mystery of the Cosmos [Explained]) (alternately translated Cosmic Mystery, The Secret of the World or some variation) is an astronomy book by the German astronomer Johannes Kepler, published at TÃ¼bingen in 1596. ... The Rudolphine Tables (Latin: Tabulae Rudolphinae) consist of a star catalog and planetary tables published by Johannes Kepler in 1627. ... Somnium (Latin for The Dream) is a fantasy written between 1620 and 1630 by Johannes Kepler in which a student of Tycho Brahe is transported to the Moon by occult forces. ...

Contents

Early years

Graz (1594–1600)

Mysterium Cosmographicum

Marriage to Barbara Müller

Other research in Graz

Prague (1600–1612)

Work for Tycho Brahe

Advisor to Emperor Rudolph II

Astronomiae Pars Optica

The Supernova of 1604

Astronomia nova

Dioptrice, the Somnium manuscript, and other work

Personal and political troubles

Linz and elsewhere (1612–1630)

Second marriage

Epitome of Copernican Astronomy, calendars, and the witch trial of Kepler's mother

Harmonices Mundi

Rudolphine Tables and Kepler's last years

Reception of Kepler's astronomy

Kepler's historical and cultural legacy

Writings by Kepler

See also

Named in Kepler's honour

Kepler in fiction, music, etc.

Music

Fiction

Cinema

Notes and references

Bibliography

External links

Contents

Early years GA_googleFillSlot("encyclopedia_square");

Graz (1594–1600)

Mysterium Cosmographicum

Marriage to Barbara Müller

Other research in Graz

Prague (1600–1612)

Work for Tycho Brahe

Advisor to Emperor Rudolph II

Astronomiae Pars Optica

The Supernova of 1604

Astronomia nova

Dioptrice, the Somnium manuscript, and other work

Personal and political troubles

Linz and elsewhere (1612–1630)

Second marriage

Epitome of Copernican Astronomy, calendars, and the witch trial of Kepler's mother

Harmonices Mundi

Rudolphine Tables and Kepler's last years

Reception of Kepler's astronomy

Kepler's historical and cultural legacy

Writings by Kepler

See also

Named in Kepler's honour

Kepler in fiction, music, etc.

Music

Fiction

Cinema

Notes and references

Bibliography

External links

Early years