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Abstract
Based on the solar motion theory of Hipparchus-Ptolemy, a geometric method is proposed to determine the parameters of the orbit from three values of ecliptic longitude corresponding to three different times. The method was specifically applied to find the underlying parameters used to construct the solar tables contained in Abraham Zacuto’s Almanach Perpetuum. The longitude values were selected using two procedures: the first spaced by three months, and the second, spaced by an amount of days greater than six, was applied to each month from 1473 to 1476. The first procedure yielded values consistent with an Alfonsine origin of Zacuto’s tables; the second exhibited wide dispersions but suggested that for some specific months, different values of solar eccentricity were used.
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Albuquerque, L. (1983). Ciencia e experiência nos descobrimentos portugueses. Instituto de Cultura e Língua Portuguesa-Ministério de Educaçao.
Chabás, J. & Goldstein, B. R. (2020). New approaches and parameters in the Parisian Alfonsine tables. Suhayl, 18, 51-68. https://doi.org/10.1344/SUHAYL2020.18.3
Chabás, J. & Goldstein, B. R. (2000). Astronomy in the Iberian Peninsula: Abraham Zacut and the transition from manuscript to print. Transactions of the American Philosophical Society, 90, parte 2.
Dennefeld, M. (2020). A history of the Magellanic Clouds and the European Exploration of the Southern Hemisphere. arXiv preprint arXiv:2009.04973.
Goldstein, B. R. (1998). Abraham Zacut and the medieval Hebrew astronomical tradition. Journal for the History of Astronomy, 29, 177-186. https://doi.org/10.1177/002182869802900210
Marcondes de Souza, T. O. (1957). A astronomia náutica na época dos descobrimentos marítimos. Revista de Historia, 20, 41-63.
Pedersen, O. (2010). A survey of the Almagest, Springer
Portilla, J. G. (2023). Evolución de la teoría geocéntrica del movimiento del Sol y su uso en la primera circunnavegación del mundo. Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, 47, 678-692. https://doi.org/10.18257/raccefyn.1940
Poulle, E. (1969). Les conditions de la navigation astronomique au XVE siècle. Separata de Revista da Universidade de Coimbra, 24, 1-20.
Proverbio, E. (1994). Astronomical and sailing tables from the second half of the 15th century to the middle of the 16th century. Memorie della Società Astronomia Italiana, 65, 469-496.
Sánchez, A. (2021). Making a Global Image of the World: Science, Cosmography and Navigation in Times of the First Circumnavigation of Earth, 1492-1522. Culture & History Digital Journal, 10, e014-e014. https://doi.org/0000-0001-8323-634X
Sánchez, J. G. (2023). La astronomía en tiempos de Abraham Zacuto. Ediciones Universidad de Salamanca.
Swanick, L. A. (2005). An analysis of navigational instruments in the age of exploration: 15th century to mid-17th century. Tesis de grado. Texas A&M University.
Thomann, J. (2022). Reverse Engineering Applied to Ephemerides: Analysis and Edition of the Arabic Ephemeris of 1326/27 ce (MS Cairo, Dār al-Kutub, miqāt 817). En: Husson, Matthieu; Montelle, Celmency; van Dalen, Benno. Editing and Analysing Numerical Tables: Towards a Digital Information System for the History of Astral Sciences. Turnhout: Brepols Publishers, 469-510. https://doi.org/10.1484/M.PALS.5.125692
Toomer, G. J. (1998). Ptolomey’s Almagest, Princeton University Press.
van Dalen, B. (1993). Ancient and Mediaeval Astronomical Tables: mathematical structure and parameter values. Universiteit Utrecht, Faculteit Wiskunde en Informatica.
van der Werf, S. (2017). History and critical analysis of fifteenth and sixteenth century nautical tables. Journal for the History of Astronomy, 48, 207-232. https://doi.org/10.1177/0021828617705244
Vieira, A. (2005). Náutica e cartografia náutica na origem da ciência moderna. Navigator, 1, 53-68.
Zacuto, A. (1496). Almanach perpetuum celestium motuum, Leiria. https://purl.pt/22001
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