Observations and Predictions of Eclipse Times by Astronomers in the Pre-Telescopic Period
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Durham E-Theses Observations and predictions of eclipse times by astronomers in the pre-telescopic period. Steele, John Michael How to cite: Steele, John Michael (1998) Observations and predictions of eclipse times by astronomers in the pre-telescopic period., Durham theses, Durham University. Available at Durham E-Theses Online: http://etheses.dur.ac.uk/990/ Use policy The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in Durham E-Theses • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders. Please consult the full Durham E-Theses policy for further details. Academic Support Oce, Durham University, University Oce, Old Elvet, Durham DH1 3HP e-mail: [email protected] Tel: +44 0191 334 6107 http://etheses.dur.ac.uk 2 OBSERVATIONS AND PREDICTIONS OF ECLIPSE TIMES BY ASTRONOMERS IN THE PRE-TELESCOPIC PERIOD r _L)/J ýýý \Y . ý'ý. 1 /ýý ýI` Observations and Predictions of Eclipse Times by Astronomers in the Pre-Telescopic Period John Michael Steele PhD Thesis Department of Physics University of Durham 1998 The copyright of this thesis rests with the author. No quotation frone it should he published without the written consent of the author and information derived from it should be acknowledged. 30 SEP1g98 2 Observations and Predictions of Eclipse Times by Astronomers in the Pre-Telescopic Period by John Michael Steele PhD Thesis 1998 Abstract Eclipses of the Sun and Moon are among the most impressive of celestial events. It is therefore unsurprising that they have played an important role in the astronomy and astrology of most early cultures. Many hundreds of references to eclipses are found in the writings of the chroniclers and astronomers of the pre-telescopic world. In particular, the astronomers of Babylon, Ancient Greece, the Islamic Near East, Later Medieval and Renaissance Europe, China, and Japan, recorded a large number of observations and predictions of the time of an eclipse. The present study contains an extensive compilation of all known timed reports of eclipse observations and predictions made by astronomers in the pre-telescopic period. By performing a basic analysis of the recorded times, it has been possible to trace the gradual development of the techniques used by the astronomers to observe and predict eclipses. In order to conduct this analysis, it has been necessary to investigate a number of other problems including the dating of damaged observational accounts, the units of time used by the early astronomers, and the methods by which the Babylonians predicted eclipses. Many of these questions have not previ- ously been answered. Therefore, the results of this study provide important information regarding the astronomies of these early cultures. 3 Preface The research presented in this study was undertaken between October 1995 and July 1998 under the supervision of Professor F. R. Stephenson. No part of this work has previously been submitted for a degree either in this or any other university. A significant part of the material presented in this thesis has previously been published in the following papers: " J. M. Steele, "Babylonian Predictions of Lunar and Solar Eclipse Times", Bulletin of the Amer- ican Astronomical Society, 28 (1996), 1305. " J. M. Steele and F. R. Stephenson, "Lunar Eclipse Times Predicted by the Babylonians", Jour- nal for the History of Astronomy, 28 (1997), 119-131. " J. M. Steele, "Solar Eclipse Times Predicted by the Babylonians", Journal for the History of Astronomy, 28 (1997), 131-139. " J. M. Steele, F. R. Stephenson and L. V. Morrison, "The Accuracy of Eclipse Times Measured by the Babylonians", Journal for the History of Astronomy, 28 (1997), 337-345. " J. M. Steele and F. R. Stephenson, "Astronomical Evidence for the Accuracy of Clocks in Pre- Jesuit China", Journal for the History of Astronomy, 29 (1998), 35-48. " J. M. Steele, "Predictions of Eclipse Times Recorded in Chinese History", Journal for the History of Astronomy, 29 (1998), 275-285. " J. M. Steele, "On the Use of the Chinese Hsuan-ming Calendar to Predict the Times of Eclipses in Japan", Bulletin of the School of Oriental and African Studies, 61 (1998), 527-533. " J. M. Steele, "The Accuracy of Babylonian Observations of Lunar Sixes", Astronomy and Geo- physics, in press. " J. M. Steele and F. R. Stephenson, "Eclipse Observations made by Regiomontanus and Walther", Journal for the History of Astronomy, in press. " J. M. Steele, "The Latest Dated Astronomical Observation from Babylon", in A. R. Millard (ed.) Archaeological Sciences '97, in press. " J. M. Steele, "A Re-analysis of the Eclipse Observations in Ptolemy's Almagest", Centaurus, submitted. The copyright of this thesis rests with the author. No quotation from it should be published without his prior written consent. Information derived from this study should be clearly acknowledged. 4 Acknowledgements for I wish to express my sincerest gratitude to Prof. F. Richard Stephenson guiding me through such Physics a fascinating subject over the past three years. I also wish to thank the Department of of the University of Durham for its generous provision of a Departmental Studentship, without which this study would not have been possible, and for its continued support of research into historical astron- omy. Also in Durham, I wish to thank the members of the Departments of History and Archaeology for the interest they have shown in my work. There are many people, both in Britain and abroad, who have generously given me the benefit of John their time and expertise during the course of this study. In particular, I would like to mention Dr. Britton, Prof. Peter Huber, Prof. Hermann Hunger, Dr. Leslie Morrison, Prof. Norbert Roughton, Prof. Nathan Sivin, and Dr. Christopher Walker. I would like to thank them all, both for many useful discussions and, in several cases, for generously supplying me with copies of their transliterations and translations of unpublished texts. Away from work, I would like to thank all my friends from my time in Durham, particularly all of the talented musicians that I have played with every Tuesday night for the past few years. Finally, I wish to record my deepest thanks to my family for their support and for not asking me why I spend all my time reading arcane texts. Contents I Introductory Orientations 9 1 Introduction 10 1.1 General Introduction 10 . ................. ... ........ ..... Survey Astronomical Records in Pre-Telescopic Cultures 11 1.2 A of ............ 1.3 Causes Eclipses 14 of ................... ... .... .... ..... 1.4 Methods Analysis 17 of ..... ............. ... .... .... ..... A Note Conventions in Study 18 1.5 on the used this ..... ... ........... .. II The Western Heritage 19 20 2 Mesopotamia (c. 750 BC - AD 75) 2.1 Introduction 20 ....................................... 2.2 Sources Astronomical Records in Mesopotamian History 22 of .............. 2.3 Dating Babylonian Astronomical Tablets 29 ........ ................ 2.3.1 LBAT 1456 30 ................... ....... .... ..... 2.3.2 BM 38357 32 ................... ... ........ ..... 2.3.3 LBAT 1452 33 ............... .................... 2.3.4 LBAT 1413 34 ................................... 2.4 Units of Time 35 .................. ....... ............. 2.5 Eclipse Records in Late Babylonian History 40 ............. ......... 2.6 Accuracy the Observed Times 43 of .......... ..... ............. 2.7 Accuracy the Predicted Times 50 of ................... ......... 2.8 Methods Eclipse Prediction 53 of ............. ....... ......... 3 Ancient Europe (c. 200 BC - AD 364) 65 3.1 Introduction 65 ....................................... in Ptolemy's Almagest 66 3.2 Observations of Lunar Eclipses . .... ........... Observations 69 3.2.1 Babylonian ............ ....... ... ...... Early Greek Observations 72 3.2.2 . ........ ....... ........... Later Greek Observations 73 3.2.3 ....... ....... ............. Alexandria 73 3.3 Observation of a Solar Eclipse by Theon of ....... ........ 3.4 Accuracy Observed Times 74 of the ............................ 76 4 The Near East (c. AD 820 - 1020) 4.1 Introduction 76 .... ........... ........... ............. 4.2 Sources in Near Eastern History 77 of Astronomical Records ............... 4.3 Timed in Near Eastern History 79 Eclipse Records .................... 4.3.1 Habash 81 ........................ .... ... ...... 4.3.2 82 al-Mähani .................................... 6 4.3.3 83 al-Battani ... ........... ...... ....... .... ... .. 4.3.4 Banü Amäjnr 84 . ......... ................... .... 4.3.5 Ibn YGnus 85 .................... ....... .... ..... 4.3.6 i 87 al-Birnn .............. ...... ... ........ ..... Observed Predicted Times 88 4.4 Accuracy of the and .... ... .... .... ..... 92 5 Later Medieval and Renaissance Europe (c. AD 1250 - 1600) 92 5.1 Introduction ..................................... .. Tables 93 5.2 European Astronomical ....... ...................... Techniques Instruments 95 5.3 Observational and ..................... .. Eclipse Records in Later European History 96 5.4 Timed ... ................ 5.4.1 Isaac ben Sid 97 .................. ....... ..... .... 5.4.2 Levi ben Gerson 98 ................ ....... ......... 5.4.3 Jean de Murs 99 .................