Rudolphine Tables
TheRudolphine Tables(Latin:Tabulae Rudolphinae) consist of astar catalogueand planetary tables published byJohannes Keplerin 1627, using observational data collected byTycho Brahe(1546–1601). The tables are named in memory ofRudolf II, Holy Roman Emperor,in whose employ Brahe and Kepler had begun work on the tables. The main purpose of the Rudolphine tables was to allow the computation of the positions of the then knownplanetsof theSolar System,and they were considerably more precise than earlier such tables.
Previous tables
[edit]Star tables had been produced for many centuries and were used to establish the position of the planets relative to the fixed stars (particularly the twelve constellations used inastrology) on a specific date in order to constructhoroscopes.Until the end of the 16th century, the most widely used had been theAlphonsine tables,first produced in the 13th century and regularly updated thereafter. These were based on aPtolemaic,geocentric modelof theSolar System.Although the Alphonsine tables were not very accurate, nothing else was available and so they continued to be used.[citation needed]
In 1551, following the publication ofDe revolutionibus orbium coelestiumbyNicholas Copernicus,Erasmus Reinholdproduced thePrutenic Tablesbased on aheliocentricmodel of the Solar System, but these were no more accurate than the earlier tables.
Observations and prelude
[edit]The observations underlying the Rudolphine tables were performed by Tycho Brahe and his team. Brahe's measurements were much more accurate than the ones available previously.[1]He worked with elaborate instruments to determine the precise positions of planets and stars in the sky but did not have a telescope.
Brahe had been supported by the Danish kingFrederick IIand had built an observatory on the island ofHvenduring 1576–1596. When the king died, Brahe moved toPragueand became the official imperial astronomer of EmperorRudolf II.There he was joined by Kepler in 1600, and Rudolf instructed them to publish the tables. While Tycho Brahe favored ageo-heliocentric modelof the solar system in which the Sun and Moon revolve around the Earth and the planets revolve around the Sun, Kepler argued for a Copernicanheliocentric model.
When Tycho Brahe died in 1601, Kepler became the official imperial mathematician. By studying Brahe's data, he foundhis three laws of planetary motion,which he published in 1609 and 1619. Emperor Rudolf died in 1612 and Kepler left Prague.
Composition and publication
[edit]The tables were anticipated for many years, with pleas for its publication reaching as far asIndiaandJesuit missionaries in China.[2]Apart from external hindrances, Kepler himself refrained from such a monumental enterprise involving endless tedious calculations. He wrote in a letter to a Venetian correspondent, impatiently inquiring after the tables: "I beseech thee, my friends, do not sentence me entirely to the treadmill of mathematical computations, and leave me time for philosophical speculations which are my only delight".[3]They were finally completed near the end of 1623.
In his attempts to finance the printing of the tables, Kepler began by claiming the arrears due to him by Rudolph. From the Imperial Court inViennahe was sent to three other towns to which the debt was transferred. After a year of roaming the country, he was eventually able to raise 2000florins(out of 6299 owed to him), which sufficed to pay for the paper. He paid for the printing out of his own pocket. It was initially supposed to be printed inLinz,where he resided at the time, but the chaos of theThirty Years' War(first the garrisoning of soldiers in the town, after which a siege of therevolting peasantry,which almost resulted in the burning of the manuscript) prompted him to leave. He began the enterprise anew inUlm.There, after many quarrels with the printer Jonas Saur, the first edition of a thousand copies was completed in September 1627, in time for the annual book mart in theFrankfurt Fair.[4]
While publishing theRudolphine Tables,Kepler was hard-pressed to fight off Tycho's numerous relatives. During the publication process, these relatives repeatedly tried to obtain control of the observations and the profit from the publication of the tables.[5]
Tycho had intended to dedicate the tables to Emperor Rudolf II, but by 1627, when the tables were published, Rudolf II had been dead for 15 years, so instead the tables were dedicated to EmperorFerdinand IIbut are named after Rudolph II.[6]
Contents
[edit]
The book, written in Latin, contains tables for the positions of the 1,005 stars measured by Tycho Brahe, and more than 400 stars fromPtolemyandJohann Bayer,with directions and tables for locating the moon and the planets of the Solar System. Included are function tables oflogarithms(a useful computational tool that had been described in 1614 byJohn Napier) and antilogarithms, and instructive examples for computing planetary positions.[7]
For most stars these tables were accurate to within onearc minute,[8]and included corrective factors foratmospheric refraction.[9]
A map of the world was also included. A scroll in the lower left panel of the map is inscribed with instructions on how to use the map and alunar distancemeasurement to calculate longitude: it states that by observing the edge of the Moon's disc in relation to a known star, or a lunar eclipse, it is possible to calculate longitude at the point of observation by calculating local time and comparing it to the time stated in the tables.[10]For this purpose, Kepler needed his map to be as up-to-date as possible, and it is remarkable for being one of the first to show the Dutch discoveries of the west coast of Australia,Eendracht Landand Dedels Land; this information was apparently taken from theNova Totius Terrarum Orbis Geographica ac Hydrographica Tabulaby Jodocus Hondius II, published in Amsterdam in 1625.[11]Hondius derived his geographical knowledge of Australia from the unpublished 1622 map of the Indian Ocean by Hessel Gerritz.[12]A time scale along the Equator on Kepler's map indicates the hours to be added or subtracted for determining longitude (one hour equals 15 degrees longitude).[13]
Use of the tables
[edit]The tables were sufficiently accurate to predict atransit of Mercuryobserved byPierre Gassendiin 1631 and atransit of Venusobserved byJeremiah Horroxin 1639.[14]
Adam Schall von Bell,aJesuit in China,used the tables to complete a reform of theChinese calendarin 1635.
See also
[edit]References
[edit]- ^Rågstedt, Mikael (2013-06-10)."About the cover: Kepler and the Rudolphine Tables".Bulletin of the American Mathematical Society.50(4): 629–639.doi:10.1090/s0273-0979-2013-01416-2.ISSN0273-0979.
- ^Koestler,p. 376
- ^Koestler,p. 376
- ^Koestler,p. 377-379
- ^Hannam, James (2011).The Genesis of Science: How the Christian Middle Ages launched the scientific revolution(1st American ed.). Washington, DC: Regnery. p. 294.ISBN978-1596981553.
- ^Kusukawa, Sachiko (1999)."Kepler and Astronomical Tables".
- ^The book has been put on-line by the Universitätsbibliothek, Christian-Albrechts-Universität zu Kiel
- ^Tirion, Wil; Barry Rappaport; George Lovi (1992).Uranometria 2000.0(1988 ed.). Richmond, Va.: Willmann-Bell. p. xvii.ISBN0-943396-15-8.
- ^The New Encyclopædia Britannica, 1988, Volume 10, pg. 232
- ^Society for the Diffusion of Useful Knowledge,The Lives of Eminent Persons: Life of Kepler,London, Baldwin & Craddock, 1833, p.51.
- ^Peter H Meurer, “Die Werkgeschichte der Weltkarte von Johannes Kepler und Philipp Eckebrecht (1630/58)„Cartographica Helvetica,Heft 49, 2014, p.27-38
- ^Günter Schilder,Australia Unveiled: The Share of the Dutch Navigators in the Discovery of Australia,Amsterdam, Theatrum Orbis Terrarum, 1976, pp.300, 306
- ^Norman J. W. Thrower,Maps and Civilization: Cartography in Culture and Society,University of Chicago Press, Third Edition, 2008, p.1000.
- ^Athreya, A.; Gingerich, O. (December 1996). "An Analysis of Kepler's Rudolphine Tables and Implications for the Reception of His Physical Astronomy".Bulletin of the American Astronomical Society.28(4): 1305.Bibcode:1996AAS...189.2404A.
Bibliography
[edit]- Koestler, Arthur (2014) [1959].The Sleepwalkers.Penguin Classics.ISBN9780141394534.
- Robert J. King, “Johannes Kepler and Australia”,The Globe,no.90, 2021, pp.15-24.
External links
[edit]
Media related toTabulae Rudolphinaeat Wikimedia Commons- Universitätsbibliothek Kiel – Digiport:Tabulæ Rudolphinæ-Bartschversion from 1627, with appendices on Schiller's Christian constellations and Bartsch'es own constellation innovations.
- Tabulæ RudolphinæArchived2021-09-24 at theWayback Machinefrom theNOAA Central Library,in PDF and TIFF formats.
- Johannes Kepler,Tabulæ Rudolphinæarchive.org, frontispiece, world map, first half is explanation, second half is tables
- Tabvlæ Rudolphinæ qvibvs astronomicæ scientiæ... Typis J. Saurii, 1627. From theRare Book and Special Collections Divisionat theLibrary of Congress
