Johannes Kepler and the Star of Bethlehem a Work in Progress
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The Astronomers Tycho Brahe and Johannes Kepler
Ice Core Records – From Volcanoes to Supernovas The Astronomers Tycho Brahe and Johannes Kepler Tycho Brahe (1546-1601, shown at left) was a nobleman from Denmark who made astronomy his life's work because he was so impressed when, as a boy, he saw an eclipse of the Sun take place at exactly the time it was predicted. Tycho's life's work in astronomy consisted of measuring the positions of the stars, planets, Moon, and Sun, every night and day possible, and carefully recording these measurements, year after year. Johannes Kepler (1571-1630, below right) came from a poor German family. He did not have it easy growing Tycho Brahe up. His father was a soldier, who was killed in a war, and his mother (who was once accused of witchcraft) did not treat him well. Kepler was taken out of school when he was a boy so that he could make money for the family by working as a waiter in an inn. As a young man Kepler studied theology and science, and discovered that he liked science better. He became an accomplished mathematician and a persistent and determined calculator. He was driven to find an explanation for order in the universe. He was convinced that the order of the planets and their movement through the sky could be explained through mathematical calculation and careful thinking. Johannes Kepler Tycho wanted to study science so that he could learn how to predict eclipses. He studied mathematics and astronomy in Germany. Then, in 1571, when he was 25, Tycho built his own observatory on an island (the King of Denmark gave him the island and some additional money just for that purpose). -
Hints Into Kepler's Method
Stefano Gattei [email protected] Hints into Kepler’s method ABSTRACT The Italian Academy, Columbia University February 4, 2009 Some of Johannes Kepler’s works seem very different in character. His youthful Mysterium cosmographicum (1596) argues for heliocentrism on the basis of metaphysical, astronomical, astrological, numerological, and architectonic principles. By contrast, Astronomia nova (1609) is far more tightly argued on the basis of only a few dynamical principles. In the eyes of many, such a contrast embodies a transition from Renaissance to early modern science. However, Kepler did not subsequently abandon the broader approach of his early works: similar metaphysical arguments reappeared in Harmonices mundi libri V (1619), and he reissued the Mysterium cosmographicum in a second edition in 1621, in which he qualified only some of his youthful arguments. I claim that the conceptual and stylistic features of the Astronomia nova – as well as of other “minor” works, such as Strena seu De nive sexangula (1611) or Nova stereometria doliorum vinariorum (1615) – are intimately related and were purposely chosen because of the response he knew to expect from the astronomical community to the revolutionary changes in astronomy he was proposing. Far from being a stream-of-consciousness or merely rhetorical kind of narrative, as many scholars have argued, Kepler’s expository method was carefully calculated both to convince his readers and to engage them in a critical discussion in the joint effort to know God’s design. By abandoning the perspective of the inductivist philosophy of science, which is forced by its own standards to portray Kepler as a “sleepwalker,” I argue that the key lies in the examination of Kepler’s method: whether considering the functioning and structure of the heavens or the tiny geometry of the little snowflakes, he never hesitated to discuss his own intellectual journey, offering a rational reconstruction of the series of false starts, blind alleys, and failures he encountered. -
Copernicus' De Rev. Was Published in 1542/3
Copernicus’ De rev. was published in 1542/3 and quickly faded. Few copies were printed. There wasn’t even an English edition until 1952. However the 1540s were a good decade for the history of science in general. 1540- Biringuccio's Pirotechnia 1542- Vesalius’ De Humani Corporis Fabrica 1542- Fuchs's De historia stirpium comentarii insignes 1543- 1st fairly complete Latin ed. of Archimedes 1545- Cardano's "Ars Magna" 1st Latin Algebra 1540- Biringuccio's Pirotechnia - This is a book on metalurgy and all sorts of other fire related technological things, including some alchemy. Good illustrations. 1542- Fuchs's De historia stirpium comentarii insignes - a book with accurate illustrations and medicinal descriptions. The owner of this book could possibly identify a plant on his/her own. 1542- Vesalius’ De Humani Corporis Fabrica- A vastly more complete and better illustrated text on anatomy and physiology. A few took up the Copernican idea and expanded on it. The Diggesian Cosmos (1576) http://math.dartmouth.edu/~matc/Readers/re naissance.astro/1.1.Revol.html From Bruno’s Cena Cenari Bruno was later burned at the stake in the Campo dei fiori in Rome (1600) And then Kepler heard about Copernicus’ theory from his teacher and friend Maestlin. Kepler wrote Mysterium cosmographicum, which was published in 1596. This work was not only based on the Copernican model, it was a vast Platonic/Pythagorean expansion of it. The full title is… Prodromus Dissertationum Cosmographicarum conteinens Mysterium Cosmographicum de admirabili Proportione Orbium Coelestium deque Causis Coelorum numeri, magnitudinis, motuumque periodicorum genuinis et propriis, demonstratum per quinque regularia corpora Geometrica …which roughly translates to An Announcement (or wind that precedes the rising of the Dog-Star) of a Cosmographic Discussion containing the Divine Cosmic Mystery of the wonderfully Proportioned Celestial Sphere due to numbers, magnitudes and particular movements and periods of the heavens shown by using the five regular geometrical solids. -
Kepler's Mysterium Cosmographicum
Bridges 2011: Mathematics, Music, Art, Architecture, Culture Kepler’s Mysterium Cosmographicum: A Bridge Between Art and Astronomy? Kenneth Brecher Departments of Astronomy and Physics Boston University Boston, MA 02215, U. S. A. E-mail: [email protected] Abstract Johannes Kepler published his geometrical model of the solar system in his book “Mysterium Cosmographicum” in 1596. It is suggested here that the inspiration for Kepler’s model was deeply rooted in the art and craft of his time. What Was the Origin of Kepler’s Celestial Model? Johannes Kepler published his first book, the Mysterium Cosmographicum in 1596 at age 26 while he was employed as a mathematics schoolteacher in the German provincial city of Graz. In a sense, the entire rest of his astronomical career was an elaboration of the questions he sought to address in this work: Why were there six (then known) solar system planets? Why are they spaced around the Sun as they are? Why do they move as they do? He answered these questions by apparently creating out of thin air an elaborate model for the layout of the solar system based on spheres inscribed and circumscribed around five nested Platonic solids. In many ways, this book represented a turning point for the way astronomy would be done in the future, for it sought to provide reasons behind what had heretofore been mainly a descriptive science. As the Kepler scholar Owen Gingerich has remarked [1] in his account of Kepler’s life and work, “Seldom in history has so wrong a book been so seminal in directing the future course of science.” Figure 1 a, b, c: On the left is the frontispiece for the Mysterium Cosmographicum. -
Kepler's Cosmos
science and image Kepler’s cosmos Copernicus’s system of the Universe was revolutionary but his method of representing it on paper was anything but. It was left to Kepler to apply Renaissance techniques of spatial visualization to make the theory come alive. Martin Kemp icolaus Copernicus’s programme to 8 purge the Ptolemaic model of the Uni- Nverse of its growing burden of disfig- uring complications was driven not least by what we would call aesthetic considerations. The architecture of his heliocentric system reinstated the geometrical integrity that the Greek astronomers had sought: “At rest... in the middle of everything is the sun. For in this most beautiful temple, who would place this lamp in another or better position than that from which it can light up the whole thing at the same time?” Although Copernicus’s “temple” obeyed the principles of harmonically unified design advocated in the Renaissance, his conventionally diagrammatic representa- tion of his scheme in 1543 as a flat series of concentric circles did not avail itself of the new spatial vision inherent in the buildings and paintings of the Renaissance masters. It was more than 50 years later that Johannes Kepler, fervent Copernican and Platonist, allied the new visual forms with the new astronomical vision. Among the many testimonies to Kepler’s extraordinary powers of spatial visualiza- tion, none is more remarkable than the great cosmological model he illustrated in a fold- out plate in his Mysterium Cosmographicum of 1596. We know how the scheme came to be envisaged. He tells how, when he was teach- ing his “students the way Great Conjunc- tions jump eight signs at a time”, he drew Kepler’s “Model of the Orbits of the Planets” “many triangles, or quasi triangles, in the from Mysterium Cosmographicum, 1596 (above). -
The Planets in 2006 the Distinctive Planetary Events of 2006
The Planets in 2006 The Distinctive Planetary Events of 2006..............................................................................................................2 Longitudes of the Planets ........................................................................................................................................3 Ingresses ................................................................................................................................................................3 Element, Mode and Dignity Balance.....................................................................................................................3 Table 1: 2006 Planetary Ingresses ....................................................................................................................5 Table 2: 2006 Lunar Ingresses and Void of Course Times................................................................................6 Table 3: 2006 Planetary Longitudes at a Glance..............................................................................................7 Planetary Stations ..................................................................................................................................................8 Table 4: Current Retrograde Cycles, Planet by Planet .....................................................................................8 Lunar Cycles ............................................................................................................................................................9 -
Zadkiel's Legacy; Containing a ... Judgment of the Great Conjunction Of
| # , C / 2. ZADKIEL' S LEGACY ; CoNTA in ING A FULL AND PARTICULAR JUDGMENT oN THE GREAT CONJUNCTION or $aturn ant; 3)upiter, ON THE 26TH OF JANUARY, 1842, BE ING THE IR M0ST IMPORTANT CONJUNCTION | SINGE THE DAYS OF KING ALFRED THE GREAT: Foreshewing the History of the World for 200 Years to come!!! | AL80, Fss AYs on HINDU As TRology, A.N. p. THE NATIVITY of H. R. H. ALBERT EDWARD, PRINCE OF WALEs &e, t HIS CHARACTER AND FUTURE DESTINY, &c, &c. LONDON: S HERWOOD AND CO., PATER NOSTER ROW. 1842. com PT on AND RITCHI E, PR1NTERs, Middl E - star Et, cloth - FAIR, LoN Don. - - - - - - - - . * … - - - - - - - * > z. *. -- - * • -- * * 2. - - -- - - - - - - - * - - - ~ : * - * - - - - - - - - * * * * * ***. *> - - - - - - , * * ~ : , , , * * * * * * : ... " - - -- - * * - */ " /~~ - £". * - - * - - - * 2. " - * PR EFACE. MANY generations shall pass by, many centuries roll away, and this book shall still remain a memento of the sublime powers of astral influence; for lo! I have commenced it at the moment of Mercury southing on this present first day of Sep tember, in the year of Grace one thousand eight hundred and forty, when fixed signs did occupy the angles of the heavenly scheme, the Moon and lord of the sign ascending being also in fixed signs, five planets angular, the lord of the ascendent in the ninth, or house of science, and the Moon, while ruling that house, being situate in the ascendant, in sextile to the glorious Sol, ruler of the 10th, or house of fame, and applying to a close conjunction of the bounteous and benefic Jupiter. Moreover, Mercury, on the cusp of the 10th, is in reception of the Sun, caput draconis is in the 4th, and the lord of the ascendant in trine aspect to the ruler of that house, which go verns the end of the matter. -
Jupiter Saturn Great Conjunction
Jupiter Saturn Great Conjunction drishtiias.com/printpdf/jupiter-saturn-great-conjunction Why in News In a rare celestial event, Jupiter and Saturn will be seen very close to each other (conjunction) on 21st December 2020, appearing like one bright star. Key Points Conjunction: If two celestial bodies visually appear close to each other from Earth, it is called a conjunction. Great Conjunction: Astronomers use the term great conjunction to describe meetings of the two biggest worlds in the solar system, Jupiter and Saturn. It happens about every 20 years. The conjunction is the result of the orbital paths of Jupiter and Saturn coming into line, as viewed from Earth. Jupiter orbits the sun about every 12 years, and Saturn about every 29 years. The conjunction will be on 21st December, 2020, also the date of the December solstice. It will be the closest alignment of Saturn and Jupiter since 1623, in terms of distance. The next time the planets will be this close is 2080. They will appear to be close together, however, they will be more than 400 million miles apart. 1/2 Jupiter: Fifth in line from the Sun, Jupiter is, by far, the largest planet in the solar system – more than twice as massive as all the other planets combined. Jupiter, Saturn, Uranus and Neptune are called Jovian or Gas Giant Planets. These have thick atmosphere, mostly of helium and hydrogen. Jupiter’s iconic Great Red Spot is a giant storm bigger than Earth that has raged for hundreds of years. Jupiter rotates once about every 10 hours (a Jovian day), but takes about 12 Earth years to complete one orbit of the Sun (a Jovian year). -
Finder Chart for Jim's Pick of the Month December 2020 Grand
Finder Chart for Jim’s Pick of the Month December 2020 Grand Junction of Jupiter and Saturn Image via Rice University On December 21, 2020, the day of the December solstice is the great conjunction of Jupiter and Saturn. It will be the first Jupiter and Saturn conjunction since the year 2000 and the closest conjunction since 1623 - 14 years after Galileo made his first telescope. The closest observable Jupiter and Saturn conjunction before that was in the year 1226. At their closest in December, Jupiter and Saturn will be only 0.1 degree apart. The closest Jupiter-Saturn conjunction in 2020 will not be seen again until March 15, 2080. From Portland, after sunset at 4:30 p.m., Jupiter and Saturn conjunction will be low in the evening twilight and will set quickly, so a good clear southwestern horizon is essential. Viewed from earth, Jupiter and Saturn will be 0.1 degree apart. Jupiter will appear brightest at magnitude of -1.97, while Saturn, to the upper right, will be half the brightest at +0.63 magnitude. Far above the southern horizon is the near first quarter moon and red planet Mars. They appears to be close, yet separated 455,762,323 miles apart from each other. The planet Saturn, the sixth planet from the sun, is 1,006,711,393 miles from earth, while Jupiter, the fifth planet, is 550,949,070 miles away. Both Jupiter and Saturn will set at 6:52 p.m. towards the SW horizon. Binoculars will separate them into two objects with Saturn, the fainter of the two, lying above the mighty Jupiter. -
Mercury and Uranus in Aries: New Thinking for the New Normal
Mercury and Uranus in Aries: New Thinking for the New Normal As I begin this article on April 30th, I do so conscious of the fact that Mercury is conjunct Uranus in the stars of Aries, the Ram, at 36 degrees of the ecliptic, aligned with the star Hamal which is the forehead of the Ram. One could even say the “third eye” position in the Ram. In a few days, on May 4th, Mercury comes into exact superior conjunction with the Sun (behind the Sun from the Earth). Essentially these few days bring us this superior conjunction of Mercury with the Sun with Uranus. Mercury picks up, so to speak, that which is offered from the sphere of Uranus and the stars of the Ram, even specifically the fixed star Hamal in the Ram. But to fully understand this event, we must now follow Mercury in its process when it will hand over to the Earth what it now takes up. In astrosophy, the momentary events in the heavens must be considered in the context of the flow of time as a process in which we can partake consciously and even answer out of our human higher consciousness. This is the new speaking to the stars. So, this event is only part of the full gesture of Mercury. It culminates on July 1st in the stars of the Twins when Mercury completes this cycle/gesture begun today, by coming around between the Sun and the Earth in inferior conjunction and then handing over to the Earth in the stars of Twins, what it has picked up in the superior conjunction with Uranus in the Ram. -
Astrology, Mechanism and the Soul by Patrick J
Kepler’s Cosmological Synthesis: Astrology, Mechanism and the Soul by Patrick J. Boner History of Science and Medicine Library 39/Medieval and Early Modern Sci- ence 20. Leiden/Boston: Brill, 2013. Pp. ISBN 978–90–04–24608–9. Cloth $138.00 xiv + 187 Reviewed by André Goddu Stonehill College [email protected] Johannes Kepler has always been something of a puzzle if not a scandal for historians of science. Even when historians acknowledged Renaissance, magical, mystical, Neoplatonic/Pythagorean influences, they dismissed or minimized them as due to youthful exuberance later corrected by rigorous empiricism and self-criticism.The pressure to see Kepler as a mathematical physicist and precursor to Newton’s synthesis remains seductive because it provides such a neat and relatively simple narrative. As a result, the image of Kepler as a mechanistic thinker who helped to demolish the Aristotelian world view has prevailed—and this despite persuasive characterization of Kepler as a transitional figure, the culmination of one tradition and the beginning of another by David Lindberg [1986] in referring to Kepler’s work on optics and by Bruce Stephenson [1987, 1–7] in discussing Kepler on physical astronomy. In this brief study, Patrick Boner once again challenges the image of Kepler as a reductivist, mechanistic thinker by summarizing and quoting passages of works and correspondence covering many of Kepler’s ideas, both early and late, that confirm how integral Kepler’s animistic beliefs were with his understanding of natural, physical processes. Among Boner’s targets, Anneliese Maier [1937], Eduard Dijksterhuis [1961], Reiner Hooykaas [1987], David Keller and E. -
Great Conjunction” of Jupiter and Saturn
Astronomy Club of Asheville - December 2020 Highlight Page 1 of 3 The December 21, 2020 “Great Conjunction” of Jupiter and Saturn During the northern hemisphere summer of 2020, Jupiter and Saturn will become visible in our evening skies. Earth will approach closest to both these gas-giant planets in July – something astronomers call planetary opposition. By autumn, the 2 planets will appear to be on a slow collision course with each other in the constellation Sagittarius. But it’s in December that this very close alignment of Jupiter and Saturn reaches its culmination. The “great conjunction” of Jupiter and Saturn will occur on December 21, 2020 – the northern hemisphere’s winter solstice. At that time, the two planets will be in the constellation Capricornus, low toward the southwest horizon, and separated by a mere 0.1°. This will be the closest Jupiter/Saturn conjunction since the year 1623 CE! Jupiter will be at magnitude -2.0, and significantly dimmer Saturn at magnitude +0.6. On the evenings of December 16 & 17, 2020, the waxing crescent Long Night moon will join Jupiter and Saturn, making an amazing sight in the southwestern twilight. Above: Artist’s concept of Jupiter and Saturn on December 16, 2020 shortly after sunset, as viewed from Earth’s surface. Notice that a 7% illuminated, waxing crescent moon will also be part of this early evening view. Jupiter and Saturn will be rather low in the SW sky – only about 17° above the horizon in Asheville, NC. Chart via Jay Ryan at http://classicalastronomy.com/. - Continued on the next page - Astronomy Club of Asheville - December 2020 Highlight Page 2 of 3 The December 21, 2020 “Great Conjunction” of Jupiter and Saturn A “great conjunction” is a conjunction of the planets Jupiter and Saturn.