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Tycho Brahe

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Tycho Brahe



 
 
Tycho Brahe, born Tyge Ottesen Brahe (14 December 1546 – 24 October 1601), was a Danish nobleman
Nobility

Nobility is a government-privileged title which may be either hereditary or for a lifetime. Titles of nobility exist today in many countries although it is usually associated with present or former monarchies....
 known for his accurate and comprehensive astronomical and planetary
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
 observations. Coming from Scania
Skåneland

Sk?neland, or Sk?nelandskapen, are Swedish scientific denominations, used in historical contexts for the historical lands of Denmark in southern Scandinavia, which as the autonomous polity Scania joined Zealand and Jutland in the formation of a Denmark state in the early 800s....
, then part of Denmark, now part of modern-day Sweden, Brahe was well known in his lifetime as an astronomer
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
 and alchemist
Alchemy

Alchemy , a part of the Occult Tradition, is both a philosophy and a practice with an aim of achieving ultimate wisdom as well as immortality, involving the improvement of the alchemist as well as the making of several substances described as possessing unusual properties....
.

The Latinized name "Tycho Brahe" is usually or in English.






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Brahe Kepler
Tycho Brahe, born Tyge Ottesen Brahe (14 December 1546 – 24 October 1601), was a Danish nobleman
Nobility

Nobility is a government-privileged title which may be either hereditary or for a lifetime. Titles of nobility exist today in many countries although it is usually associated with present or former monarchies....
 known for his accurate and comprehensive astronomical and planetary
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
 observations. Coming from Scania
Skåneland

Sk?neland, or Sk?nelandskapen, are Swedish scientific denominations, used in historical contexts for the historical lands of Denmark in southern Scandinavia, which as the autonomous polity Scania joined Zealand and Jutland in the formation of a Denmark state in the early 800s....
, then part of Denmark, now part of modern-day Sweden, Brahe was well known in his lifetime as an astronomer
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
 and alchemist
Alchemy

Alchemy , a part of the Occult Tradition, is both a philosophy and a practice with an aim of achieving ultimate wisdom as well as immortality, involving the improvement of the alchemist as well as the making of several substances described as possessing unusual properties....
.

The Latinized name "Tycho Brahe" is usually or in English. The original Danish name "Tyge Ottesen Brahe" is pronounced in Modern Standard Danish as .

Tycho Brahe was granted an estate on the island of Hven
Hven

File:Map of Hven from copper etching of Blaeu Atlas 1663.jpgVen is a small Sweden island in the ?resund strait, between Scania and Zealand . It is situated in Landskrona Municipality, Sk?ne County....
 and the funding to build the Uraniborg
Uraniborg

Uranienborg was an Observatory operated by Tycho Brahe; built circa 1576-1580 on Hven , an island in the Oresund between Zealand and Scania, at that time belonging to Denmark....
, an early research institute
Research institute

A research institute is an establishment endowed for doing research. Research institutes may specialize in basic research or may be oriented to applied research....
, where he built large astronomical instruments and took many careful measurements. After disagreements with the new king in 1597, he was invited by the Czech king and Holy Roman emperor Rudolph II to Prague, where he became the official imperial astronomer. He built the new observatory at Benátky nad Jizerou
Benátky nad Jizerou

Ben?tky nad Jizerou is a town on the Jizera River river in the Central Bohemian Region of the Czech Republic, between the cities Star? Boleslav and Mlad? Boleslav....
. Here, from 1600 until his death in 1601, he was assisted by Johannes Kepler
Johannes Kepler

Johannes Kepler was a Germans mathematician, astronomer and astrologer, and key figure in the 17th century Scientific revolution. He is best known for his eponymous Kepler's laws of planetary motion, codified by later astronomers based on his works Astronomia nova, Harmonices Mundi, and Epitome of Copernican Astrononomy....
. Kepler would later use Tycho's astronomical information to develop his own theories of astronomy.

As an astronomer, Tycho worked to combine what he saw as the geometrical
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
 benefits of the Copernican system with the philosophical benefits of the Ptolemaic system
Ptolemaic System

In the Ptolemaic system, each planet is moved by five or more spheres: one sphere is its deferent. The deferent was a circle centered around a point halfway between the equant and the earth....
 into his own model of the universe, the Tychonic system
Tychonic system

The Tychonic system was a model of the solar system published by Tycho Brahe in the late 16th century which combined what he saw as the mathematical benefits of the Copernican system with the philosophical and "physical" benefits of the Ptolemaic system....
. He is generally referred to as "Tycho" rather than by his surname "Brahe", as was common in Scandinavia at the time.

Tycho is credited with the most accurate astronomical observations of his time, and the data was used by his assistant Kepler to derive the laws of planetary motion
Kepler's laws of planetary motion

In astronomy, Kepler's three laws of planetary motion are*"The orbit of every planet is an ellipse with the sun at a Focus ."*"A line joining a planet and the sun sweeps out equal areas during equal intervals of time."...
. No one before Tycho had attempted to make so many redundant observations, and the mathematical tools to take advantage of them had not yet been developed. He did what others before him were unable or unwilling to do – to catalogue the planets and stars with enough accuracy to determine whether the Ptolemaic or Copernican system was more valid in describing the heavens.

Life


Early years


Tycho was born on a farm in Roseau under the name Tyge Ottesen Brahe (de Knudstrup), adopting the Latinized form Tycho around age fifteen (sometimes written Tÿcho). The incorrect form of his name, Tycho de Brahe, appeared only much later.

He was born at his family's ancestral seat of Knutstorp Castle (Danish: Knudstrup borg; Swedish: Knutstorps borg) about eight kilometres north of Svalöv
Svalöv Municipality

Sval?v Municipality is a Municipalities of Sweden in Sk?ne County in southern Sweden. Its seat is located in the town Sval?v.The local government reform of 1952 grouped the 15 original entities into six larger municipalities....
 in then Danish Scania
Scania

Scania may refer to:*Scania , Swedish truck manufacturer with origins in Scania.*Scania Market, annual market for herring in Scania during the Middle Ages...
, now Swedish, to Otte Brahe
Otte Brahe

Otte Brahe , was a Denmark nobility who is best known for his son, Tycho Brahe.LifeFamily lifeBrahe married Beate Bille in 1544....
 and Beate Bille. His twin brother
Twin

Twins are two offspring resulting from the same pregnancy, usually childbirth in close succession. They can be the same or different sex. Twins can either be monozygotic or dizygotic ....
 died before being baptized. (Tycho wrote a Latin ode (Wittendorf 1994, p. 68) to his dead twin which was printed as his first publication in 1572.) He also had two sisters, one older (Kirstine Brahe) and one younger (Sophia Brahe
Sophia Brahe

File:Sophie Brahe.jpgSophie Brahe, or Sophia, was a Denmark horticulturalist and student of astronomy, chemistry, and medicine, best known for assisting her brother Tycho Brahe with his astronomical observations....
). Otte Brahe, Tycho's father, was a nobleman and an important figure at the court of the Danish King. His mother, Beate Bille, also came from an important family that had produced leading churchmen and politicians. Both parents are buried under the floor of Kågeröd Church, four kilometres east of Knutstorp. An epitaph, originally from Knutstorp, but now on a plaque near the church door, shows the whole family, including Tycho as a boy.

Tycho later wrote that when he was around two, his uncle, Danish nobleman Jørgen Brahe, "... without the knowledge of my parents took me away with him while I was in my earliest youth." Apparently this did not lead to any disputes nor did his parents attempt to get him back. According to one source, Tycho's parents had promised to hand over a boy child to Jørgen and his wife, who were childless, but had not honoured this promise. Jørgen seems to have taken matters into his own hands and took the child away to his own residence, Tost(e)rup Castle. Jørgen Brahe inherited considerable wealth from his parents, which in terms of the social structure of the time made him eminently eligible for the post of County Sheriff, a royal appointment. He was successively County Sheriff to Tranekjær
Tranekær

Tranek?r is a town in central Denmark, located in Tranek?r municipality on the island of Langeland.External links...
 (1542-49), Odensegaard (1549-52), Vordingborg Castle
Vordingborg Castle

The ruins of Vordingborg Castle are located in the town of Vordingborg, Denmark, and are the town's most famous attraction.The castle was built in 1175 by King Valdemar I of Denmark as a defensive castle and as a base from which to launch raids against the Germany coast....
(1552-57) and finally (1555 until his death in 1565) to Queen Dorothea at Nykøbing Castle on Falster
Nykøbing Falster

Nyk?bing Falster is a southern Denmark city located in Guldborgsund municipality Commune . It belongs to Region Sj?lland. The city is geographically partitioned on two islands of Lolland and Falster, connected by the 295 meter long Frederick IX Bridge over the Guldborgsund waterway....
. It is hard to say exactly where Tycho was educated in his childhood years, and Tycho himself provides no information on this topic, but the sources quoted below agree that he took a Latin School education from the age of six until he was twelve years old.

On 19 April 1559, Tycho began his studies at the University of Copenhagen
University of Copenhagen

The University of Copenhagen is the oldest and largest university and research institution in Denmark. Founded in 1479, it has more than 37,000 students, a majority of whom are female , and more than 7,000 employees....
. There, following the wishes of his uncle, he studied law but also studied a variety of other subjects and became interested in astronomy
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
. It was, however, the eclipse
Eclipse

An eclipse is an astronomical event that occurs when one celestial object moves into the shadow of another. The term is derived from the ancient Greek noun , from verb , "I cease to exist," a combination of prefix , from preposition , "out," and of verb , "I am absent"....
 which occurred on 21 August 1560, particularly the fact that it had been predicted, that so impressed him that he began to make his own studies of astronomy, helped by some of the professors. He purchased an ephemeris
Ephemeris

An ephemeris is a table of values that gives the positions of astronomical objects in the sky at a given time or times. Different kinds are used for astronomy and astrology....
 and books such as Sacrobosco's Tractatus de Sphaera, Apianus's Cosmographia seu descriptio totius orbis and Regiomontanus
Regiomontanus

Johannes M?ller von K?nigsberg , known by his Latin pseudonym Regiomontanus, was an important Germany mathematician, astronomer and astrologer....
's De triangulis omnimodis.

I've studied all available charts of the planets and stars and none of them match the others. There are just as many measurements and methods as there are astronomers and all of them disagree. What's needed is a long term project with the aim of mapping the heavens conducted from a single location over a period of several years. – Tycho Brahe, 1563 (age 17).


Tycho realized that progress in the science of astronomy could be achieved not by occasional haphazard observations, but only by systematic and rigorous observation, night after night, and by using instruments of the highest accuracy obtainable. He was able to improve and enlarge the existing instruments, and construct entirely new ones. Tycho's naked eye
Naked eye

The naked eye is a figure of speech referring to human visual perception that is unaided by enhancing equipment, such as a telescope or microscope....
 measurements of planetary parallax
Parallax

Parallax is an apparent displacement or difference of orientation of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines....
 were unprecedented in their precision - accurate to the arcminute, or 1/30 the width of the full moon. His sister Sophia assisted Tycho in many of his measurements. These jealously guarded measurements were "usurped" by Kepler following Tycho's death. Tycho was the last major astronomer to work without the aid of a telescope
Telescope

A telescope is an instrument designed for the observation of remote objects by the collection of electromagnetic radiation. The first known practically functioning telescopes were invented in the Netherlands at the beginning of the 17th century....
, soon to be turned skyward by Galileo
Galileo Galilei

Galileo Galilei was a Grand Duchy of Tuscany physicist, mathematician, astronomer, and philosopher who played a major role in the Scientific Revolution....
.

Tycho's nose


While a student, Tycho lost part of his nose
Nose

Anatomically, a nose is a protuberance in vertebrates that houses the nostrils, or nares, which admit and expel air for Respiration in conjunction with the mouth....
 in a rapier
Rapier

A rapier is a relatively slender, sharply pointed sword, used mainly for thrusting attacks, mainly in use in Europe in the 16th and 17th centuries....
 duel
Duel

As practiced from the 11th to 20th centuries in Western societies, a duel is an engagement in combat between two individuals, with matched weapons in accordance with their combat doctrines....
 with Manderup Parsbjerg, a fellow Danish nobleman. This occurred in the Christmas season of 1566, after a fair amount of drinking, while Tycho, just turned 20 years old, was studying at the University of Rostock
University of Rostock

The University of Rostock is the university of the city Rostock, in the German state of Mecklenburg-Vorpommern.Founded in 1419, it is the oldest and largest university in continental northern Europe and the Baltic Sea area as well as the second oldest in northern Europe after the University of St Andrews....
 in Germany. Attending a dance at a professor's house, he quarreled with Parsbjerg. A subsequent duel (in the dark) resulted in Tycho losing the bridge of his nose. From this event Tycho became interested in medicine
Medicine

Medicine is the art and science of healing. It encompasses a range of health care practices evolved to maintain and restore health by the prevention and treatment of illness....
 and alchemy
Alchemy

Alchemy , a part of the Occult Tradition, is both a philosophy and a practice with an aim of achieving ultimate wisdom as well as immortality, involving the improvement of the alchemist as well as the making of several substances described as possessing unusual properties....
. For the rest of his life, he was said to have worn a realistic replacement made of silver
Silver

Silver is a chemical element with the chemical symbol Ag and atomic number 47. A soft, white, lustrous transition metal, it has the highest electrical conductivity of any element and the highest thermal conductivity of any metal....
 and gold
Gold

Gold is a chemical element with the symbol Au and atomic number 79. It is a highly sought-after precious metal, having been used as money, as a store of value, in jewelry, in sculpture, and for ornamentation since the beginning of recorded history....
, using a paste to keep it attached. Some people, such as Fredric Ihren and Cecil Adams
Cecil Adams

Cecil Adams is a name, possibly a pseudonym, which designates the author of Straight Dope, a popular question and answer column published in The Chicago Reader since 1973....
 have suggested that the false nose also had copper. Ihren wrote that when Tycho's tomb was opened in 24 June 1901 green marks were found on his skull, suggesting copper. Cecil Adams
Cecil Adams

Cecil Adams is a name, possibly a pseudonym, which designates the author of Straight Dope, a popular question and answer column published in The Chicago Reader since 1973....
 also mentions a green colouring and that medical experts examined the remains. Some historians have speculated that he wore a number of different prosthetics for different occasions, noting that a copper
Copper

Copper is a chemical element with the symbol Cu and atomic number 29.It is a ductile metal with very high thermal and electrical conductivity....
 nose would have been more comfortable and less heavy than a precious metal
Precious metal

A precious metal is a rare metallic chemical element of high economics value. Chemically, the precious metals are less reactivity than most elements, have high lustre , are softer or more ductility, and have higher melting points than other metals....
 one.

Death of his uncle


His uncle and foster father, Jørgen Brahe, died in 1565 of pneumonia
Pneumonia

Pneumonia is an Inflammation illness of the lung. Frequently, it is described as lung parenchyma/alveolus inflammation and abnormal alveolar filling with fluid ....
 after rescuing Frederick II of Denmark
Frederick II of Denmark

Frederick II , King of Denmark and Norway from 1559 until his death. He was the son of King Christian III of Denmark and Norway and Dorothea of Saxe-Lauenburg....
 from drowning. In April 1567, Tycho returned home from his travels and his father wanted him to take up law, but Tycho was allowed to make trips to Rostock, then on to Augsburg
Augsburg

Augsburg is an Independent City city in the south-west of Bavaria. The College town is home of the Regierungsbezirk Swabia and also of the Swabia and the Augsburg ....
 (where he built a great quadrant), Basel
Basel

Basel is Switzerland's third most populous city . With 731,000 inhabitants in the tri-national metropolitan area , Basel is Switzerland's third-largest urban area....
, and Freiburg. At the end of 1570 he was informed about his father's ill health, so he returned to Knudstrup, where his father died on 9 May 1571. Soon after, his other uncle, Steen Bille, helped him build an observatory and alchemical laboratory at Herrevad Abbey
Herrevad Abbey

Herrevad Abbey was a Cistercian monastery near Ljungbyhed, Scania, in the south of present-day Sweden....
.

Family life


In 1572, in Knudstrup, Tycho fell in love with Kirsten, daughter of Jørgen Hansen, the Lutheran
Lutheranism

Lutheranism is a major branch of Western Christianity that identifies with the teachings of the sixteenth-century Germans Reformer Martin Luther....
 priest in Knudstrup. She was a commoner, and Tycho never formally married her. However, under Danish law
Courts of Denmark

The Danish Supreme Court is the highest civil and criminal court responsible for the administration of justice in Denmark. The Kingdom of Denmark, consisting of Denmark, Greenland and the Faroe Islands, does not have a single unified judicial system - Denmark has one system, Greenland another and the Faroe Island a third....
, when a nobleman and a common woman lived together openly as husband and wife, and she wore the keys to the household at her belt like any true wife, their alliance became a binding morganatic marriage
Morganatic marriage

A morganatic marriage is a type of marriage which can be contracted in certain countries, usually between people of unequal social rank, which prevents the passage of the husband's titles and privileges to the wife and any children born of the marriage....
 after three years. The husband retained his noble status and privileges; the wife remained a commoner. Their children were legitimate in the eyes of the law, but they were commoners like their mother and could not inherit their father's name, coat of arms
Coat of arms

A coat of arms, more properly called an armorial achievement, armorial bearings or often just arms for short, in European tradition, is a design belonging to a particular person and used by them in a wide variety of ways....
, or landholdings. (Skautrup 1941, pp. 24-5)

Kirsten Jørgensdatter gave birth to their first daughter, Kirstine (named after Tycho's late sister, who died at 13) on 12 October 1573. Together they had eight children, six of whom lived to adulthood. In 1574, they moved to Copenhagen where their daughter Magdalene was born. Kirsten and Tycho lived together for almost thirty years until Tycho's death.

Tycho's elk and dwarf


Tycho was said to own one percent of the entire wealth of Denmark at one point in the 1580s and he often held large social gatherings in his castle. He kept a dwarf named Jepp (whom Tycho believed to be clairvoyant) as a court jester who sat under the table during dinner. Pierre Gassendi
Pierre Gassendi

Pierre Gassendi was a France philosopher, Priesthood , scientist, astronomer, and mathematician. With a church position in south-east France, he also spent much time in Paris, where he was a leader of a group of free-thinking intellectuals....
 wrote that Tycho also had a tame elk
Moose

File:Alces alces NA.svgThe moose or elk , , is the largest Extant taxon species in the deer family . Moose are distinguished by the palmate antlers of the males; other members of the family have antlers with a "twig-like" configuration....
, and that his mentor the Landgrave
Landgrave

Landgrave was a title only used in the Holy Roman Empire and later on by its former territories. The title refers to a count who had feudal duty directly to the Holy Roman Emperor....
 Wilhelm
William IV, Landgrave of Hesse-Kassel

William IV , also called William the Wise, was the first Landgrave of Hesse-Kassel . He was the founder of the oldest line, which also survives unto this day....
 of Hesse-Kassel
Hesse-Kassel

The Landgraviate of Hessen-Kassel or Hesse-Cassel was a Reichsfrei principality of the Holy Roman Empire that came into existence when the Landgraviate of Hesse was divided in 1567 upon the death of Philip I, Landgrave of Hesse....
 (Hesse-Cassel) asked whether there was an animal faster than a deer. Tycho replied, writing that there was none, but he could send his tame elk. When Wilhelm replied he would accept one in exchange for a horse, Tycho replied with the sad news that the elk had just died on a visit to entertain a nobleman at Landskrona
Landskrona

Landskrona is a urban areas in Sweden in the provinces of Sweden Scania in southernmost Sweden. It is the seat of Landskrona Municipality, Sk?ne County and has a population of about 29,000 out of a municipal total of 40,000....
. Apparently during dinner the elk had drunk a lot of beer, fallen down the stairs, and died.

Death


Tycho died on 24 October 1601 in Prague, eleven days after suddenly becoming very ill during a banquet. Toward the end of his illness he is said to have told Kepler "Ne frustra vixisse videar!", "Let me not seem to have lived in vain.” For hundreds of years, the general belief was that he had strained his bladder
Urinary bladder

In anatomy, the urinary bladder is a solid, muscle, and distensible organ that sits on the pelvic floor in mammals. It is the organ that collects urine excreted by the kidneys prior to disposal by urination....
. It had been said that to leave the banquet before it concluded would be the height of bad manners, and so he remained, and that his bladder, stretched to its limit, developed an infection which later killed him. This theory was supported by Kepler's first-hand account.

Recent investigations have suggested that Tycho did not die from urinary problems but instead from mercury
Mercury (element)

Mercury , also called quicksilver or hydrargyrum , is a chemical element with the symbol Hg and atomic number 80. A heavy, silvery d-block metal, mercury is one of six elements that are liquid at or near room temperature and pressure....
 poisoning: extremely toxic levels of it have been found in his hair and hair-roots. Tycho may have poisoned himself by imbibing some medicine containing unintentional mercuric chloride impurities, or may have been poisoned.

One theory proposed in a 2005 book by Joshua Gilder and Anne-Lee Gilder, suggests that there is circumstantial evidence that Kepler murdered Brahe; they argue that Kepler had the means, motive, and opportunity, and stole Tycho's data on his death. According to the Gilders, they find it "unlikely" Tycho could have poisoned himself since he was an alchemist known to be familiar with the toxicity of different mercury compounds.

Another theory is proposed by Peter Andersen, professor of German Studies at the University of Strasbourg
University of Strasbourg

The University of Strasbourg in Strasbourg, Alsace, France, is the largest university in France, with 43,000 students and over 4,000 researchers....
. Andersen discovered the 600-page diary of Count Erik Brahe, a distant Swedish cousin of Tycho. He suggests Erik murdered Tycho, by order of King Christian IV of Denmark
Christian IV of Denmark

Christian IV was the king of Denmark and Norway from 1588 until his death. He is sometimes referred to as Christian Firtal in Denmark and Christian Kvart or Quart in Norway....
, who suspected that Tycho had had an affair with his mother Sophie. In 2009, a group of conservators, chemists and physicians plan to open the vault and perform a forensic analysis on the body.

Tycho Brahe's body is currently interred in a tomb in the Church of Our Lady in front of Týn
Church of Our Lady in front of Týn

The Church of Our Lady before T?n is a dominant feature of the Old Town, Prague of Prague, Czech Republic, and has been the main church of this part of the city since the 14th century....
, in Old Town Square
Old Town Square (Prague)

Old Town Square is a historic square in the Old Town, Prague quarter of Prague in the Czech Republic at .Located between Wenceslas Square and the Charles Bridge, Prague's Old Town Square is often bursting at the seams with tourists in the summer....
 near the Prague Astronomical Clock.

Career: observing the heavens


The 1572 supernova


On 11 November 1572, Tycho observed (from Herrevad Abbey
Herrevad Abbey

Herrevad Abbey was a Cistercian monastery near Ljungbyhed, Scania, in the south of present-day Sweden....
) a very bright star, now named SN 1572
SN 1572

SN 1572 , "B Cassiopeiae" , or 3C 10 was a supernova of Type Ia supernova in the constellation Cassiopeia , one of about eight supernovae visible to the naked eye in historical records....
, which had unexpectedly appeared in the constellation Cassiopeia
Cassiopeia (constellation)

Cassiopeia is a constellation in the northern sky. In Greek mythology it was considered to represent the vain queen Cassiopeia , who boasted about her unrivaled beauty....
. Because it had been maintained since antiquity
Ancient history

Ancient history is the history from the History of writing until the Early Middle Ages in Europe, the Qin Dynasty in China, the Chola Empire in India, and some less defined point in the rest of the world ....
 that the world beyond the Moon's orbit was eternally unchangeable (celestial immutability was a fundamental axiom of the Aristotelian
Aristotelian

Aristotelian matters may refer to:* Aristotle * List of teachings attributed to Aristotle* Aristotelianism, the philosophical tradition begun by Aristotle...
 world-view), other observers held that the phenomenon was something in the terrestrial sphere below the Moon. However, in the first instance Tycho observed that the object showed no daily parallax
Parallax

Parallax is an apparent displacement or difference of orientation of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines....
 against the background of the fixed stars. This implied it was at least farther away than the Moon and those planets that do show such parallax. Moreover he also found the object did not even change its position relative to the fixed stars over several months as all planets did in their periodic orbital motions, even the outer planets for which no daily parallax was detectable. This suggested it was not even a planet, but a fixed star in the stellar sphere beyond all the planets. In 1573 he published a small book, De nova stella thereby coining the term nova
Nova

A nova is a cataclysmic nuclear explosion caused by the Accretion of hydrogen onto the surface of a white dwarf star. Novae are not to be confused with Type Ia supernovae, or another form of stellar explosion first announced by Caltech in May 2007, Luminous Red Novae....
 for a "new" star (we now classify this star as a supernova
Supernova

A supernova is a Astronomy#Stellar astronomy explosion. Supernovae are extremely luminous and cause a burst of radiation that often briefly outshines an entire galaxy, before fading from view over several weeks or months....
 and we know that it is 7500 light-year
Light-year

A light-year or light year is a Units of measurement of length, equal to just under ten orders_of_magnitude_%28numbers%29#1012 kilometres....
s from Earth). This discovery was decisive for his choice of astronomy as a profession. Tycho was strongly critical of those who dismissed the implications of the astronomical appearance, writing in the preface to De nova stella: "O crassa ingenia. O caecos coeli spectatores" ("Oh thick wits. Oh blind watchers of the sky").

Tycho's discovery was the inspiration for Edgar Allan Poe's
Edgar Allan Poe

Edgar Allan Poe was an American poet, Short story writer, Editing and Literary criticism, and is considered part of the American Romanticism. Best known for his tales of Mystery and the macabre, Poe was one of the earliest American practitioners of the short story and is considered the inventor of the Detective fiction genre....
 poem, "Al Aaraaf
Al Aaraaf

File:Al Aaraaf Robinson.jpg"Al Aaraaf" is an early poem by American writer Edgar Allan Poe, first published in 1829. It is based on stories from the Qur'an, and tells of the afterlife in a place called Al Aaraaf....
." In 1998, Sky & Telescope
Sky & Telescope

Sky & Telescope is an United States monthly magazine covering all aspects of amateur astronomy, including:*current events in astronomy and space exploration...
 magazine published an article by Donald W. Olson, Marilynn S. Olson and Russell L. Doescher arguing, in part, that Tycho's supernova was also the same "star that's westward from the pole" in Shakespeare's Hamlet
Hamlet

Hamlet is a tragedy by William Shakespeare, believed to have been written between 1599 and 1601. The play, set in Denmark, recounts how Prince Hamlet exacts revenge on his uncle King Claudius, who has murdered King Hamlet, the King, and then taken the throne and married Gertrude ....
.

Tycho's observatories

Uraniborgskiss 90
Tycho published the 1572 observations made from his first observatory at Herrevad Abbey in 1574. He then started lecturing on astronomy, but gave up and left Denmark in spring 1575 to tour abroad. He first visited William IV, Landgrave of Hesse-Kassel
William IV, Landgrave of Hesse-Kassel

William IV , also called William the Wise, was the first Landgrave of Hesse-Kassel . He was the founder of the oldest line, which also survives unto this day....
's observatory at Kassel, then went on to Frankfurt, Basel and Venice. Upon his return he had decided to relocate to Basel, but King Frederick II, King of Denmark and Norway
Frederick II of Denmark

Frederick II , King of Denmark and Norway from 1559 until his death. He was the son of King Christian III of Denmark and Norway and Dorothea of Saxe-Lauenburg....
, fearful of losing such a scientist, offered Tycho the island of Hven
Hven

File:Map of Hven from copper etching of Blaeu Atlas 1663.jpgVen is a small Sweden island in the ?resund strait, between Scania and Zealand . It is situated in Landskrona Municipality, Sk?ne County....
 in Oresund
Oresund

Properly spelled with diacritics, ?resund or ?resund , sometimes also known as The Sound, is the strait that separates the Denmark island Zealand from the southern Swedish province of Scania ....
 with funding to set up an observatory. Tycho first built Uraniborg
Uraniborg

Uranienborg was an Observatory operated by Tycho Brahe; built circa 1576-1580 on Hven , an island in the Oresund between Zealand and Scania, at that time belonging to Denmark....
 in 1576 (with a laboratory for his alchemical
Alchemy

Alchemy , a part of the Occult Tradition, is both a philosophy and a practice with an aim of achieving ultimate wisdom as well as immortality, involving the improvement of the alchemist as well as the making of several substances described as possessing unusual properties....
 experiments in its cellar) and then Stjerneborg
Stjerneborg

Stjerneborg was Tycho Brahe's underground observatory next to his palace-observatory Uraniborg, located on the island of Hven in Oresund....
 in 1581. Unusual for the time, Tycho established the Uraniborg as a research centre where almost 100 students and artisans had worked from 1576 to 1597.

When King Frederick II died in 1588 he was buried at Roskilde Cathedral
Roskilde Cathedral

Roskilde Cathedral , in the city of Roskilde on the Island of Zealand in eastern Denmark, was the first Gothic architecture cathedral to be built of brick and its construction encouraged the spread of this Brick Gothic style throughout Northern Europe....
, like other Danish monarchs, and his 11 year old son Christian IV
Christian IV of Denmark

Christian IV was the king of Denmark and Norway from 1588 until his death. He is sometimes referred to as Christian Firtal in Denmark and Christian Kvart or Quart in Norway....
, became the new king. Tycho's influence steadily declined and after several unpleasant disagreements, including neglecting to maintain the chapel where Christian's father was buried, he left Hven in 1597 and moved to Prague
Prague

Prague is the Capital and World's largest cities of the Czech Republic. Its official name is Hlavn? mesto Praha, meaning Prague, the Capital City....
 in 1599. Sponsored by Rudolf II, the Holy Roman Emperor
Holy Roman Empire

The Holy Roman Empire was a union of territories in Central Europe during the Middle Ages and the Early modern Europe under a Holy Roman Emperor....
, he built a new observatory in a castle in Benátky nad Jizerou
Benátky nad Jizerou

Ben?tky nad Jizerou is a town on the Jizera River river in the Central Bohemian Region of the Czech Republic, between the cities Star? Boleslav and Mlad? Boleslav....
, 50 km from Prague, and he worked there for one year. The emperor then had him move back to Prague, where he stayed until his death. Besides the emperor himself, he was also financially supported by several nobles, including Oldrich Desiderius Pruskowsky von Pruskow, to whom he dedicated his famous volume, the "Mechanica."

In return for their support, Tycho's duties included preparing astrological
Astrology

Astrology is a group of systems, traditions, and beliefs which hold that the relative positions of astronomical object and related details can provide useful information about personality, human affairs, and other terrestrial matters....
 charts and predictions for his patrons on events such as births, weather
Weather

Weather is a set of all the Phenomenon occurring in a given atmosphere at a given time. Weather phenomena lie in the hydrosphere and troposphere....
 forecasting, and providing astrological interpretations of significant astronomical events such as the comet
Comet

A comet is a Small Solar System body that orbits the Sun and, when close enough to the Sun, exhibits a visible coma or a tail?both primarily from the effects of solar radiation upon the Comet nucleus....
 of 1577 and the supernova
Supernova

A supernova is a Astronomy#Stellar astronomy explosion. Supernovae are extremely luminous and cause a burst of radiation that often briefly outshines an entire galaxy, before fading from view over several weeks or months....
 of 1572.

Tycho's observational astronomy

Mauerquadrant
Tycho was the preeminent observational astronomer of the pre-telescopic period, and his observations of stellar
Star

A star is a massive, luminous ball of Plasma that is held together by its own gravity. The nearest star to Earth is the Sun, which is the source of most of the energy on Earth....
 and planet
Planet

A planet , as 2006 definition of planet by the International Astronomical Union , is a celestial body orbiting a star or Stellar evolution#Stellar remnants that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared the neighbourhood of planetesimals....
ary positions achieved unparalleled accuracy for their time. His planetary observations were "consistently accurate to within about 1'," the stellar observations as recorded in his observational logs were even more accurate, varying from 32.3" to 48.8" for different instruments, although an error of as much as 3' was introduced into some of the stellar positions Tycho published in his star catalog due to his application of an erroneous ancient value of parallax and his neglect of refraction. For example, Tycho measured Earth's axial tilt
Axial tilt

In astronomy, axial tilt is the inclination angle of a planet axis of rotation in relation to its Orbital plane . It is also called axial inclination or obliquity....
 as 23 degrees and 31.5 minutes, which he claimed to be more accurate than Copernicus by 3.5 minutes. After his death, his records of the motion of the planet Mars enabled Kepler to discover the laws of planetary motion
Kepler's laws of planetary motion

In astronomy, Kepler's three laws of planetary motion are*"The orbit of every planet is an ellipse with the sun at a Focus ."*"A line joining a planet and the sun sweeps out equal areas during equal intervals of time."...
, which provided powerful support for the Copernican heliocentric theory
Copernican heliocentrism

Earlier theoriesEarly traces of a heliocentric model are found in several anonymous Vedic Sanskrit texts.Philolaus was also one of the first to hypothesize movement of the Earth, probably inspired by Pythagoras' theories about a spherical globe....
 of the solar system.

Tycho himself was not a Copernican, but proposed a system in which the Sun
Sun

The Sun , a G V star, is the star at the center of the Solar System. The Earth and other matter orbit the Sun, which by itself accounts for about 98.6% of the Solar System's mass....
 orbited the Earth
Earth

Earth is the third planet from the Sun. Earth is the largest of the terrestrial planets in the Solar System in diameter, mass and density. It is also referred to as the World and Wiktionary:Terra.Note that by International Astronomical Union convention, the term "Terra" is used for naming extensive land masses, rather...
 while the other planets orbited the Sun
Sun

The Sun , a G V star, is the star at the center of the Solar System. The Earth and other matter orbit the Sun, which by itself accounts for about 98.6% of the Solar System's mass....
. His system provided a safe position for astronomers who were dissatisfied with older models but were reluctant to accept the Earth's motion. It gained a considerable following after 1616 when Rome decided officially that the heliocentric model was contrary to both philosophy and Scripture, and could be discussed only as a computational convenience that had no connection to fact. His system also offered a major innovation: while both the geocentric model and the heliocentric model as set forth by Copernicus relied on the idea of transparent rotating crystalline spheres to carry the planets in their orbits, Tycho eliminated the spheres entirely.

He was aware that a star observed near the horizon appears with a greater altitude
Altitude

Altitude has multiple uses depending on the context in which it is used . As a general definition, altitude is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object....
 than the real one, due to atmospheric refraction
Refraction

Refraction is the change in direction of a wave due to a change in its speed. This is most commonly observed when a wave passes from one optical medium to another....
, and he worked out tables for the correction of this source of error.

To perform the huge number of multiplications needed to produce much of his astronomical data, Tycho relied heavily on the then-new technique of prosthaphaeresis
Prosthaphaeresis

Prosthaphaeresis was an algorithm used in the late 16th century and early 17th century for approximate multiplication and Division using formulas from trigonometry....
, an algorithm for approximating products based on trigonometric identities
List of trigonometric identities

In mathematics, trigonometric identities are equalities that involve trigonometric functions that are true for every single value of the occurring variables....
 that predated logarithms.

Tycho's Geo-heliocentric Astronomy


Tychonian System
Kepler tried, but was unable, to persuade Tycho to adopt the heliocentric model
Heliocentrism

In astronomy, heliocentrism is the theory that the Sun is at the center of the Universe. The word came from the Greek language . Historically, heliocentrism was opposed to geocentrism, which placed the earth at the center....
 of the solar system
Solar System

The Solar System consists of the Sun and those Astronomical object bound to it by gravity: the eight planets and five dwarf planets, their 173 known Natural satellite, and billions of Small Solar System body....
. Tycho believed in geocentrism because he held the Earth was just too sluggish to be continually in motion and also believed that if the Earth orbited the Sun annually there should be an observable stellar parallax over any period of six months, during which the angular orientation of a given star would change. This parallax does exist, but is so small it was not detected until the 1830s, when Friedrich Bessel
Friedrich Bessel

Friedrich Wilhelm Bessel was a Germany mathematician, astronomer, and systematizer of the Bessel functions . He was a contemporary of Carl Friedrich Gauss, also a mathematician and astronomer....
 discovered a stellar parallax of 0.314 arcseconds of the star 61 Cygni
61 Cygni

61 Cygni,Not to be confused with 16 Cygni, a more distant system containing two Stellar classification stars harboring the gas giant planet 16 Cygni Bb. sometimes called Bessel's Star or Piazzi's Flying Star, is a binary star system in the constellation Cygnus ....
 in 1838. Tycho advocated an alternative to the Ptolemaic geocentric system, a geo-heliocentric system now known as the Tychonic system
Tychonic system

The Tychonic system was a model of the solar system published by Tycho Brahe in the late 16th century which combined what he saw as the mathematical benefits of the Copernican system with the philosophical and "physical" benefits of the Ptolemaic system....
. In such a system, first proposed by Heraclides
Heraclides

Heraclides may refer to:* Heracleides of Cyme , a little-attested Greek historian* Heraclides , a Macedonian painter* Heraclides of Aenus, one of Plato's students...
 in the 4th century BC, the Sun annually circles a central Earth (regarded as essentially different from the planets), while the five planets orbit the Sun. In Tycho's model the Earth does not rotate daily, as Heraclides claimed, but is static.

Another crucial difference between Tycho's 1587 geo-heliocentric model and those of other geo-heliocentric astronomers, such as Paul Wittich
Paul Wittich

Paul Wittich was a Silesian mathematician and astronomer whose Capellan geoheliocentric model, in which the inner planets Mercury and Venus orbit the sun but the outer planets Mars, Jupiter and Saturn orbit the Earth, may have directly inspired Tycho Brahe's more radically heliocentric geoheliocentric model in which all the 5 known primar...
, Reimarus Ursus
Reimarus Ursus

Nicolaus Reimers , also Reimarus Ursus, Nicolaus Reimers B?r or Nicolaus Reymers Baer was an astronomer and imperial mathematician to Emperor Rudolf II....
, Roslin
Roslin

Roslin may refer to:Scotland:*Roslin, Midlothian, a village in Midlothian, south of Edinburgh, Scotland, Home to the famous Rosslyn Chapel...
 and Origanus, was that the orbits of Mars and the Sun intersected. This was because Tycho had come to believe the distance of Mars from the Earth at opposition (that is, when Mars is on the opposite side of the sky from the Sun) was less than that of the Sun from the Earth. Tycho believed this because he came to believe Mars had a greater daily parallax than the Sun. But in 1584 in a letter to a fellow astronomer, Brucaeus, he had claimed that Mars had been further than the Sun at the opposition of 1582, because he had observed that Mars had little or no daily parallax. He said he had therefore rejected Copernicus's model because it predicted Mars would be at only two-thirds the distance of the Sun. But he apparently later changed his mind to the opinion that Mars at opposition was indeed nearer the Earth than the Sun was, but apparently without any valid observational evidence in any discernible Martian parallax. Such intersecting Martian and solar orbits meant that there could be no solid rotating celestial spheres, because they could not possibly interpenetrate. Arguably this conclusion was independently supported by the conclusion that the comet of 1577 was superlunary, because it showed less daily parallax than the Moon and thus must pass through any celestial spheres in its transit.

Tychonic astronomy after Tycho


Galileo's 1610 telescopic discovery that Venus shows a full set of phases refuted the pure geocentric Ptolemaic model. After that it seems 17th century astronomy then mostly converted to geo-heliocentric planetary models that could explain these phases just as well as the heliocentric model could, but without the latter's disadvantage of the failure to detect any annual stellar parallax that Tycho and others regarded as refuting it. The three main geo-heliocentric models were the Tychonic, the Capellan with just Mercury and Venus orbiting the Sun such as favoured by Francis Bacon, for example, and the extended Capellan model of Riccioli with Mars also orbiting the sun whilst Saturn and Jupiter orbit the fixed Earth. But the Tychonic model was probably the most popular, albeit probably in what was known as 'the semi-Tychonic' version with a daily rotating Earth. This model was advocated by Tycho's ex-assistant and disciple Longomontanus in his 1622 Astronomia Danica that was the intended completion of Tycho's planetary model with his observational data, and which was regarded as the canonical statement of the complete Tychonic planetary system.

A conversion of astronomers to geo-rotational geo-heliocentric models with a daily rotating Earth such as that of Longomontanus may have been precipitated by Francesco Sizzi's 1613 discovery of annually periodic seasonal variations of sunspot trajectories across the sun's disc. They appear to oscillate above and below its apparent equator over the course of the four seasons. This seasonal variation is explained much better by the hypothesis of a daily rotating Earth together with that of the sun's axis being tilted throughout its supposed annual orbit than by that of a daily orbiting sun, if not even refuting the latter hypothesis because it predicts a daily vertical oscillation of a sunspot's position, contrary to observation. This discovery and its import for heliocentrism, but not for geo-heliocentrism, is discussed in the Third Day of Galileo's 1632 Dialogo. However, prior to that discovery, in the late 16th century the geo-heliocentric models of Ursus and Roslin had featured a daily rotating Earth, unlike Tycho's geo-static model, as indeed had that of Heraclides in antiquity, for whatever reason.

The fact that Longomontanus's book was republished in two later editions in 1640 and 1663 no doubt reflected the popularity of Tychonic astronomy in the 17th century. Its adherents included John Donne and the atomist and astronomer Pierre Gassendi.

The ardent anti-heliocentric French astronomer Jean-Baptiste Morin devised a Tychonic planetary model with elliptical orbits published in 1650 in a Tychonic simplified version of the Rudolphine Tables
Rudolphine Tables

The Rudolphine Tables consist of a star catalog and planetary tables published by Johannes Kepler in 1627. Named after Rudolf II, Holy Roman Emperor, they contain positions for the 1,006 stars measured by Tycho Brahe, and 400 and more stars from Ptolemy and Johann Bayer, with directions and tables for locating the planets of the solar sys...
.The tenacious longevity of the Tychonic model into the late 17th century and even the early 18th century was attested by Ignace Pardies who declared in 1691 that it was still the commonly accepted system and by Francesco Blanchinus who said it was still such in 1728.

Indeed in possible support of this latter claim, it is especially notable that even the 1726 third edition of Newton's Principia was studiously no more than Tychonic geo-heliocentric in its declared six established astronomical phenomena in the preliminary 'Phenomena' section of Book 3, from which it sought to demonstrate its theory of universal mutual gravitational attraction. For example, Phenomenon 3 stated "The orbits of the five primary planets – Mercury, Venus, Mars, Jupiter and Saturn – encircle the sun.", thus notably excluding the Earth from primary planethood in agreement with Tycho's model. But in fact even Newton's empirical reasoning for going beyond the extent of the partial degree of heliocentrism of the Capellan model to the Tychonic with Mars, Jupiter and Saturn also orbiting the Sun was strikingly invalid:

"Because Mars also shows a full face when near conjunction with the sun, and appears gibbous in the quadratures, it is certain that Mars goes around the sun. The same is proved also with respect to Jupiter and Saturn from their phases being always full;..."


But of course these phenomena of these three outer planets are equally well explained by the Ptolemaic geocentric model.

It seems it was James Bradley's 1729 publication of his discovery of stellar aberration, three years after the Principia's third edition and two after Newton's death, that finally put paid to all forms of geocentrism. For this annual oscillation of stars was only satisfactorily explicable by the conjunction of the heliocentric hypothesis that the Earth annually orbited the Sun with that of the finite speed of light. The discovery of this novel phenomenon thus completed the heliocentric revolution with the complete conversion from all geo-heliocentrism to pure heliocentrism thereafter as now empirically established fact.

Legacy

Although Tycho's planetary model became discredited, his astronomical observations are considered an essential contribution to the Scientific Revolution
Scientific revolution

The period which many History of science call the Scientific Revolution is commonly viewed as the foundation and origin of modern science.It was a time roughly coinciding with the later part of the Middle Ages and through the Renaissance in which scientific ideas in physics, astronomy, and biology evolved rapidly....
. A traditional view of Tycho, originating in the 1654 biography Tychonis Brahe, equitis Dani, astronomorum coryphaei, vita by Pierre Gassendi
Pierre Gassendi

Pierre Gassendi was a France philosopher, Priesthood , scientist, astronomer, and mathematician. With a church position in south-east France, he also spent much time in Paris, where he was a leader of a group of free-thinking intellectuals....
 and furthered by the 1890 biography by Johann Dreyer, which for a long time was considered the most essential work on Tycho, is that Tycho was primarily an empiricist, who set new standards for precise and objective measurements. According to historian of science Helge Kragh, the origin of this view is Gassendi's opposition to Aristotelianism
Aristotelianism

Aristotelianism is a Tradition#Philosophical tradition of philosophy that takes its defining inspiration from the work of Aristotle. Sometimes contrasted by critics with the rationalism and Platonic idealism of Plato, Aristotelianism is understood by its proponents as critically developing Plato?s theories....
 and Cartesianism
Cartesianism

Cartesian means of or relating to the French philosopher and mathematician Ren? Descartes — from his name — Rene Des-Cartes....
 and it fails to account for the diversity of Tycho's activities.

Tycho considered astrology a subject of great importance, and he was in his own time also famous for his contributions to medicine and his herbal medicines were in use as late as the 1900s. Although the research community Tycho created in Uraniborg did not survive him, while it existed it fulfilled the roles of being both a research center and an important center of education, functioning as a graduate school for Danish as well as foreign students of both astronomy and medicine. Tycho manoeuvred confidently within the political world and his success as a scientist relied on his political skills to ensure funding for his work.

The crater Tycho
Tycho (crater)

Tycho is a prominent Moon impact crater located in the southern lunar highlands, named after the Danish astronomer Tycho Brahe. To the south is the crater Street ; to the east is Pictet , and to the north-northeast is Sasserides ....
 on the Moon
Moon

The Moon is Earth's only natural satellite and the List of natural satellites by diameter satellite in the Solar System. The average centre-to-centre distance from the Earth to the Moon is km, about thirty times the diameter of the Earth....
 is named after him, as is the crater Tycho Brahe
Tycho Brahe (crater)

Tycho Brahe is a crater on Mars named after the Denmark astronomer Tycho Brahe. It is located in the Cerberus hemisphere of Mars, around 49.8? south and 213.9? west, in an area which is southeast of the Martz and east of the Hellas Basin....
 on Mars.

Further reading


  • Kitty Ferguson: The nobleman and his housedog: Tycho Brahe and Johannes Kepler: the strange partnership that revolutionised science. London: Review, 2002 ISBN 0-7472-7022-8 (published in the US as: Tycho & Kepler: the unlikely partnership that forever changed our understanding of the heavens. New York: Walker, 2002 ISBN 0-8027-1390-4)
  • Joshua Gilder and Anne-Lee Gilder Heavenly intrigue. New York: Doubleday, 2004 ISBN 0-385-50844-1
  • Arthur Koestler
    Arthur Koestler

    Arthur Koestler Order of the British Empire was a Jewish-Hungary polymath author who became a naturalized United Kingdom subject....
    : The Sleepwalkers: A History of Man's Changing Vision of the Universe. Hutchinson, 1959; reprinted in Arkana, 1989
  • Godfred Hartmann: Urania. Om mennesket Tyge Brahe. Copenhagen: Gyldendal, 1989 ISBN 87-00-62763-1
  • Wilson & Taton Planetary astronomy from the Renaissance to the rise of astrophysics 1989 CUP (articles by Thoren, Jarell and Schofield on the nature and history of the Tychonic astronomical model)


External links

  • MacTutor History of Mathematics
  • pages by Adam Mosley at Starry Messenger: An Electronic History of Astronomy
    History of astronomy

    Astronomy is the oldest of the natural sciences, dating back to ancient history, with its origins in the Religion, mythological, and astrological practices of pre-history: vestiges of these are still found in astrology, a discipline long interwoven with public and governmental astronomy, and not completely disentangled from it until a few centuries...
    , University of Cambridge
  • - Full digital facsimile, Lehigh University.
  • - Full digital facsimile, Smithsonian Institution.
  • - Full digital facsimile, the Danish Royal Library
    Danish Royal Library

    The Royal Library in Copenhagen is the national library of Denmark and the largest library in Scandinavia.It contains numerous historical treasures; all works that have been printed in Denmark since the 17th century are deposited there....
    . Includes Danish and English translations.
  • at Skyscript
  • article on Tycho Brahe
  • , edited and analyzed astronomically and statistically by Dennis Rawlins
    Dennis Rawlins

    Dennis Rawlins is an American astronomer, historian, and publisher....
    .