Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-30T21:21:31.007Z Has data issue: false hasContentIssue false

A CYCLIC-TIME MODEL FOR ECLIPSE PREDICTION IN MESOAMERICA AND THE STRUCTURE OF THE ECLIPSE TABLE IN THE DRESDEN CODEX

Published online by Cambridge University Press:  08 December 2017

John Justeson*
Affiliation:
Department of Anthropology, State University of New York at Albany, Arts and Sciences 237, 1400 Washington Avenue, Albany, New York 12222
*
E-mail Correspondence to: [email protected]

Abstract

This study describes, illustrates, and applies an “eclipse family” representation for the cyclic timing of eclipses in Mesoamerica. This theoretical construct is based on daykeepers’ approach to divination, anchored in the divinatory calendar (DC); empirically, it emerges from data on the timing of eclipses in Lowland Mayan1 territory between 100 b.c.e. and 1500 c.e. drawn from Espenak and Meuss's (2007, 2009) eclipse canons.

An eclipse family consists of a sequence of stations on which an eclipse might be visible in Mesoamerica – one every 88 new or full moons for 170 to 200 years, restricted to one of three DC zones. Cyclic and linear time relationships among dates of eclipses follow from this representation: intervals between successive stations in concurrent families in the same zone, and between successive stations across zones; between successive families in a zone; and among the first or last stations of families, within and across zones.

One and only one eclipse-family representation fits the lunar stations of the Dresden Codex; its properties show that it is a solar eclipse table. In real time, the table pertains to a 405-month interval sometime between 1076 and 1148 c.e., most likely from April 19, 1083 c.e. to January 16, 1116 c.e.

Type
Special Section: Mesoamerican Cultural Astronomy and the Calendar
Copyright
Copyright © Cambridge University Press 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Aaboe, Asger, Britton, John P., Henderson, J. A., Neugebauer, Otto, and Sachs, Abraham J. 1972 Saros Cycle Texts and Related Babylonian Astronomical Texts. Transactions of the American Philosophical Society 81:175.Google Scholar
Aveni, Anthony F. 1980 Skywatchers of Ancient Mexico. University of Texas Press, Austin.Google Scholar
Aveni, Anthony F. 1981 Archaeoastronomy in the Maya Region: A Review of the Past Decade. Journal for the History of Astronomy 3:S1S16.Google Scholar
Bowditch, Charles P. 1910 The Numeration, Calendar Systems, and Astronomical Knowledge of the Mayas. Harvard University Press, Cambridge.Google Scholar
Bricker, Harvey M., and Bricker, Victoria R. 1983 Classic Maya Prediction of Solar Eclipses. Current Anthropology 24:123.Google Scholar
Bricker, Harvey M., and Bricker, Victoria R. 2007 When Was the Dresden Codex Venus Table Efficacious? In Skywatching in the Ancient World: New Perspectives in Cultural Astronomy, edited by Ruggles, Clive and Urton, Gary, pp. 95119. University Press of Colorado, Denver.Google Scholar
Bricker, Harvey M., and Bricker, Victoria R. 2011 Astronomy in the Maya Codices. Memoirs of the American Philosophical Society, Vol. 265. American Philosophical Society, Philadelphia.Google Scholar
Bricker, Victoria R., Aveni, Anthony F., and Bricker, Harvey M. 2014 Deciphering the Handwriting on the Wall: Some Astronomical Interpretations of the Recent Discoveries at Xultun, Guatemala. Latin American Antiquity 18:152189.Google Scholar
de Córdova, Fray Juan 1578 Arte en lengua Çapoteca. Casa de Pedro Ballí, Mexico City.Google Scholar
Dresden, Codex ca.1250–1500 Manuscript in possession of the Sächsische Landesbibliothek – Staats- und Universitätsbibliothek Dresden.Google Scholar
Espenak, Fred, and Meeus, Jean 2006 Five Millennium Canon of Solar Eclipses: −1999 to + 3000 (2000 BCE to 3000 CE). National Aeronautics and Space Administration (NASA) Technical Paper 2006-214141. National Aeronautics and Space Administration, Washington, DC. Electronic document, http://eclipse.gfsc.nasa.gov/SEcat5/SEcatalog.html.Google Scholar
Espenak, Fred, and Meeus, Jean 2009 Five Millennium Canon of Lunar Eclipses: −1999 to + 3000 (2000 BCE to 3000 CE). NASA Technical Paper 2009-214172. National Aeronautics and Space Administration, Washington, DC. Electronic document, http://eclipse.gfsc.nasa.gov/LEcat5/LEcatalog.html.Google Scholar
Förstemann, Ernst 1891 Zur Maya-Chronologie. Zeitschrift für Ethnologie 5:141155.Google Scholar
Förstemann, Ernst 1901 Kommentar zur Maya-Handschrift der Königlichen öffentlichen Bibliothek zu Dresden. Dresdner Anzeiger, Dresden.Google Scholar
Gingerich, Owen 1963 Note on the Computation of these Tables. In Solar and Planetary Longitudes for Years −2500 to +2000, edited by Stahlman, William D. and Gingerich, Owen, pp. xvxvi. The University of Wisconsin Press, Madison.Google Scholar
Hunger, Hermann, and Pingree, David 1999 Astral Sciences in Mesopotamia. Brill, Leiden.Google Scholar
Justeson, John 1989 Classic Maya Ethnoastronomy: An Overview of Hieroglyphic Sources. In World Archaeoastronomy, edited by Aveni, Anthony F., pp. 76126. Cambridge University Press, Cambridge.Google Scholar
Justeson, John 2009 1 Ahau 3 Xul and 1 Ahau 13 Mac As Concurrent Bases of the Dresden Venus Table. Unpublished manuscript on file, Institute for Mesoamerican Studies, University at Albany.Google Scholar
Justeson, John 2015 Modeling Indigenous Mesoamerican Eclipse Theory. In Cosmology, Calendars, and Horizon-Based Astronomy in Ancient Mesoamerica, edited by Dowd, Anne S. and Milbraith, Susan, pp. 301349. University Press of Colorado, Boulder.Google Scholar
Justeson, John, and Tavárez, David 2007 The Correlation between the Colonial Northern Zapotec and Gregorian Calendars. In Cultural Astronomy in the New and Old World Cosmologies, edited by Ruggles, Clive and Urton, Gary, pp. 1781. University Press of Colorado, Boulder.Google Scholar
Kaufman, Terrence, and Justeson, John 2001 Epi-Olmec Hieroglyphic Writing and Texts. In Notebook for the 25th Maya Hieroglyphic Forum at Texas, pp. III-1III-102. University of Texas, Austin.Google Scholar
Kelley, David H. 1976 Deciphering the Maya Script. University of Texas Press, Austin.Google Scholar
Lounsbury, Floyd G. 1976 A Rationale for the Initial Date of the Temple of the Cross at Palenque. In The Art, Iconography & Dynastic History of Palenque, Part III, edited by Merle Greene Robertson, pp. 211–224. Proceedings of the Segunda Mesa Redonda de Palenque. Pre-Columbian Art Research, Pebble Beach.Google Scholar
Lounsbury, Floyd G. 1978 Maya Numeration, Computation, and Calendrical Astronomy. Dictionary of Scientific Biography 15:759818.Google Scholar
Lounsbury, Floyd G. 1992 A Derivation of the Maya-to-Julian Calendar Correlation from the Dresden Codex Venus Table. In The Sky in Mayan Literature, edited by Aveni, Anthony F., pp. 184206. Oxford University Press, Oxford.Google Scholar
Makemson, Maud W. 1943 The Astronomical Tables of the Maya. Contributions to American Anthropology and History 42:185221.Google Scholar
Martin, Frederick 1993 A Dresden Codex Eclipse Sequence: Projections for the Years 1970–1992. Latin American Antiquity 4:7493.CrossRefGoogle Scholar
Mathews, Peter 2001 Notes on the Inscriptions on the Back of Dos Pilas Stela 8. In The Decipherment of Ancient Maya Writing, edited by Houston, Stephen, Mazariegos, Oswaldo Chinchilla, and Stuart, David, pp. 394418. University of Oklahoma Press, Norman.Google Scholar
Meeus, Jean 1991 Astronomical Algorithms. Willmann-Bell, Richmond.Google Scholar
Meinshausen, Martin 1913 Über Sonnen- und Mondfinsternisse in der Dresdener Mayahandschrift. Zeitschrift für Ethnologie 45:221227.Google Scholar
Satterthwaite, Linton 1947 Concepts and Structures of Maya Calendrical Arithmetic. Joint Publications of The Museum of the University of Pennsylvania and The Philadelphia Anthropological Society, No. 3. University Museum, University of Pennsylvania, Philadelphia.Google Scholar
Satterthwaite, Linton 1948 Note on the Maya Eclipse Table of the Dresden Codex. American Antiquity 14:6162.Google Scholar
Satterthwaite, Linton 1964 Long Count Positions of Maya Dates in the Dresden Codex, with Notes on Lunar Positions and the Correlation Problem. Proceedings of the 35th International Congress of Americanists 2:4767.Google Scholar
Saturno, William A., Stuart, David, Aveni, Anthony F., and Rossi, Franco 2012 Ancient Maya Astronomical Tables from Xultun, Guatemala. Science 336:714717.CrossRefGoogle ScholarPubMed
Schram, Robert G. 1908 Kalendariographische und chronologische Tafeln. J. C. Hinrichs'sche Buchhandlung, Leipzig.Google Scholar
Smither, Robert K. 1988 The 88 Lunar Month Pattern of Solar and Lunar Eclipses and its Relationship to the Maya Calendars. Archaeoastronomy 9:99113.Google Scholar
Tavárez, David, and Justeson, John 2008 Eclipse Records in a Corpus of Colonial Zapotec 260-day Calendars. Ancient Mesoamerica 18:6781.Google Scholar
Teeple, John E. 1930 Maya Astronomy. Contributions to American Archaeology 1:29116.Google Scholar
Thompson, J. Eric. S. 1950 Maya Hieroglyphic Writing: An Introduction. Carnegie Institution of Washington Publication No. 589. Carnegie Institution of Washington, Washington, DC.Google Scholar
Thompson, J. Eric. S. 1972 A Commentary on the Dresden Codex. Memoirs of the American Philosophical Society, Vol. 93. American Philosophical Society, Philadelphia.Google Scholar
Walker, John 1997 Lunar perigee and apogee calculator . Interactive program posted May 5, 1997 at https://www.fourmilab.ch/earthview/pacalc.html.Google Scholar
Willson, Robert M. 1924 Astronomical Notes on the Maya Codices. Papers of the Peabody Museum of American Archaeology and Ethnology, Harvard University, Vol. 6, No. 3. Peabody Museum of Archaeology and Ethnology, Harvard University, Cambridge.Google Scholar