John M. Steele

The discovery of a gradual acceleration in the moon’s mean motion by Edmond Halley in the last decade of the seventeenth century led to a revival of interest in reports of astronomical observations from antiquity. These observations provided the only means to study the moon’s ‘secular acceleration’, as this newly-discovered acceleration became known. This book contains the first detailed study of the use of ancient and medieval astronomical observations in order to investigate the moon’s secular acceleration from its discovery by Halley to the establishment of the magnitude of the acceleration by Richard Dunthorne, Tobias Mayer and Jérôme Lalande in the 1740s and 1750s. Making extensive use of previously unstudied manuscripts, this work shows how different astronomers used the same small body of preserved ancient observations in different ways in their work on the secular acceleration. In addition, this work looks at the wider context of the study of the moon’s secular acceleration, including its use in debates of biblical chronology, whether the heavens were made up of æther, and the use of astronomy in determining geographical longitude. It also discusses wider issues of the perceptions and knowledge of ancient and medieval astronomy in the early-modern period. This book will be of interest to historians of astronomy, astronomers and historians of the ancient world.

Ancient Astronomical Observations and the Study of the Moon’s Motion (1691-1757)

Alexander Jones

Christine Proust

This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer, more than any other scholar of recent times, shaped the way we perceive premodern science. Through his scholarship and influence on students and collaborators, he inculcated both an approach to historical research on ancient and medieval mathematics and astronomy through precise mathematical and philological study of texts, and a vision of these sciences as systems of knowledge and method that spread outward from the ancient Near Eastern civilizations, crossing cultural boundaries and circulating over a tremendous geographical expanse of the Old World from the Atlantic to India.

Otto Neugebauer and Modern Transformations of Ancient Science

A Mathematician's Journeys

This revealing work examines an approach from ancient astronomy to what was then a particularly important question, namely that of understanding the relationship between the position in the ecliptic and the time it takes for a fixed-length of the ecliptic beginning at that point to rise above the eastern horizon. Schemes known as “rising time schemes” were used to give lengths of the celestial equator corresponding to each of the twelve zodiacal signs which make up the ecliptic. This book investigates the earliest known examples of these schemes which come from Babylonia and date to the mid to late first millennium BC. Making an important contribution to our knowledge of astronomy in the ancient world, this volume includes editions and translations of all of the known Babylonian rising time texts, including several texts that are identified for the first time. Through a close examination of the preserved texts it has been possible to reconstruct the complete Babylonian rising time scheme. This reconstruction is unprecedented in its completeness, and it is also now possible to situate the scheme within a genre of Babylonian astronomy known as schematic astronomy which presents theoretical descriptions of the astronomical phenomena. The unique discoveries and fresh explorations in this book will be of interest to historians of ancient astronomy, scholars of Babylonian history and those investigating the origins of scientific thought.

Rising Time Schemes in Babylonian Astronomy

Dates form the backbone of written history. But where do these dates come from? Many different calendars were used in the ancient world. Some of these calendars were based upon observations or calculations of regular astronomical phenomena, such as the first sighting of the new moon crescent that defined the beginning of the month in many calendars, while others incorporated schematic simplifications of these phenomena, such as the 360-day year used in early Mesopotamian administrative practices in order to simplify accounting procedures. Historians frequently use handbooks and tables for converting dates in ancient calendars into the familiar BC/AD calendar that we use today. But very few historians understand how these tables have come about, or what assumptions have been made in their construction. The seven papers in this volume provide an answer to the question what do we know about the operation of calendars in the ancient world, and just as importantly how do we know it? Topics covered include the ancient and modern history of the Egyptian 365-day calendar, astronomical and administrative calendars in ancient Mesopotamia, and the development of astronomical calendars in ancient Greece. This book will be of interest to ancient historians, historians of science, astronomers who use early astronomical records, and anyone with an interest in calendars and their development.

John M. Steele

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