Ancient Babylonian astronomers calculated Jupiter’s position from the area under a time-velocity graph

  title={Ancient Babylonian astronomers calculated Jupiter’s position from the area under a time-velocity graph},
  author={M. Ossendrijver},
  pages={482 - 484}
Babylonian astronomers tracked Jupiter Ancient Babylonian astronomers developed many important concepts that are still in use, including the division of the sky into 360 degrees. They could also predict the positions of the planets using arithmetic. Ossendrijver translated several Babylonian cuneiform tablets from 350 to 50 BCE and found that they contain a sophisticated calculation of the position of Jupiter. The method relies on determining the area of a trapezium under a graph. This… Expand
Bisecting the trapezoid: tracing the origins of a Babylonian computation of Jupiter’s motion
Between ca. 400 and 50 BCE, Babylonian astronomers used mathematical methods for predicting ecliptical positions, times and other phenomena of the moon and the planets. Until recently these methodsExpand
AST-101, AST-117, AST-602
The alteration between day and night, the succession of the seasons, and the observation of the celestial bodies and their movements in the sky introduced the notion of time. The first effort humansExpand
The First Jewish Astronomers: Lunar Theory and Reconstruction of a Dead Sea Scroll
A new examination of earlier versions of the Astronomical Book is offered, using a mathematical analysis of the figures and astronomical theories presented throughout the Aramaic Astronomy Book; the results fit both the data preserved in the scrolls and the mathematical approach and religious ideology of the scroll's authors better than the details found in the late Ethiopic texts. Expand
A Mathematical Collection Found in the ‘House of the āšipu s’. The Art of Metrology in Achaemenid Uruk
Most of the mathematical texts from Late Babylonian Uruk were found in the ‘House of the āsipus’, altogether with other scholarly texts, including astronomical, astrological, medical, lexical texts,Expand
Cultural and Mathematical Meanings of Regular Octagons in Mesopotamia: Examining Islamic Art Designs
The most common regular polygon in Islamic art design is the octagon. Historical evidence of the use of an 8-star polygon and an 8-fold rosette dates back to Jemdet Nasr (3100-2900 B.C.) inExpand
The ecological impact of high-performance computing in astrophysics
Here I hope to raise the awareness of the environmental impact of running non-optimized code on overpowered computer hardware. Expand
Euler–Maclaurin expansions without analytic derivatives
  • B. Fornberg
  • Mathematics
  • Proceedings of the Royal Society A
  • 2020
The Euler–Maclaurin (EM) formulae relate sums and integrals. Discovered nearly 300 years ago, they have lost none of their importance over the years, and are nowadays routinely taught in scientificExpand
Fast evaluation of special functions by the modified trapezium rule
This thesis is concerned with the efficient (accurate and fast) computation, via modified trapezium rules, of some special functions which can be written as integrals of the form l~f(t) dt, where fExpand
A Disturbing Inclination
In 1595 Johannes Kepler (1571–1630) was the first to posit the existence of a planet between Mars and Jupiter, but it was the Swiss astronomer and mathematician Jacob Bernoulli (1655–1705; Fig. 1.1)Expand
Improving the Accuracy of the Trapezoidal Rule
A recently discovered approach for avoiding the Runge phenomenon in quadrature methods on equi-spaced nodes, which leads to weights of oscillating signs and large magnitudes. Expand


Studies in Babylonian lunar theory: part III. The introduction of the uniform zodiac
This paper is the third of a multi-part examination of the Babylonian mathematical lunar theories known as Systems A and B. Part I (Britton, AHES 61:83–145, 2007) addressed the development of theExpand
Erratum to: Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin
lengths widths surfaces a portrait of old babylonian lengths widths surfaces a portrait of old babylonian algebra and its kin sources and studies in the history of mathematics and physical sciencesExpand
Calendars with Olympiad display and eclipse prediction on the Antikythera Mechanism
Though no month names on the Metonic calendar were previously known, all 12 months are identified, which are unexpectedly of Corinthian origin, and the cycles of human institutions with the celestial cycles embedded in the Mechanism’s gearwork are linked. Expand
A Remarkable Collection of Babylonian Mathematical Texts: Manuscripts in the Schøyen Collection: Cuneiform Texts I
Acknowledgements.- Introduction.- Documentation of Provenance.- Abbreviations.- How to Get a Better Understanding of Mathematical Cuneiform Texts.- Old Babylonian Arithmetical Hand Tablets.- OldExpand
A remarkable collection of Babylonian mathematical texts
A bout 120 new Mesopotamian mathematical cuneiform texts, all from the Norwegian Schøyen Collection, are published in the author’s book A Remarkable Collection of Babylonian Mathematical Texts,Expand
Early Physics and Astronomy: A Historical Introduction
O Pederson and M Pihl London: Macdonald and Janes 1974 pp 413 price £10.95 It seems somewhat paradoxical that the publishers should assert that this book is designed to fill a 'major gap in theExpand
Zur täglichen Bewegung des Jupiter nach babylonischen Texten
§ 1. Grundzüge der babylonischen Planetenastronomie Die babylonische Planetentheorie der Seleukidenzeit (311 v. Chr. bisAnfang 1. Jahrhundert n. Chr.) ist zuerst von KuGLER erforscht worden. WeitereExpand
Babylonian Mathematical Astronomy: Procedure Texts (Springer
  • New York,
  • 2012
Astronomical Papyri from Oxyrhynchus (American
  • Philosophical Society, Philadelphia,
  • 1999