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A note on ‘Kepler's equation’

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Bibliography

  • Carathéodory, Constantine [1], Theory of Functions of a Complex Variable, 2 vols., New York, 1954.

  • Colwell, Peter [1], Solving Kepler's equation over three centuries. Richmond, VA, 1993. See Mathematical Reviews, (MR 95 h: 01002).

  • Dörrie, Heinrich [1], 100 Great Problems of Elementary Mathematics, New York, 1965.

  • Dutka, Jacques [1], “On the Early History of Bessel Functions,” Archive far History of Exact Sciences, Vol. 49 (1995), 105–134.

    Google Scholar 

  • Euler, Leonhard [1], E37, “De motu planetarum et orbitarum determinatione,” Opera Omnia, Ser. 2, Vol. 28, 1–16, (1734–1735), 1740.

    Google Scholar 

  • Euler, Leonhard [2], E131, “Emendatio tabularum astronomicarum per loca planetarum geocentrica,” Ibid., Vol. 29, 1–91, (1740), 1750.

    Google Scholar 

  • Kennedy, E. S. and Transue, W. R. [1], “A medieval iterative algorithm,” American Mathematical Monthly, Vol. 63 (1956), 80–83.

    Google Scholar 

  • Kennedy, E. S. [1], “Parallax theory in Islamic astronomy,” Isis, Vol. 47 (1956), 33–53.

    Google Scholar 

  • Kepler, Johann [1], Astronomia Nova..., 1609. Translated into English under the title New Astronomy by W. H. Donahue, Cambridge, 1992.

  • Lagrange, J. L. L., “Sur le Problème de Kepler,” Oeuvres, T.3, 113–138, Paris, 1869.

    Google Scholar 

  • Laplace, P. S. [1], Traité de Mécanique Céleste, 5 vols., Paris, 1825, repr. New York, 1969 with the first four volumes translated into English with notes by N. Bowditch.

  • Moulton, F. R. [1], An Introduction to Celestial Mechanics, 2nd ed., New York, 1914.

  • Neugebauer, Otto [1], “The Astronomical Tables of Al-Khwarizmi,” Kongel, Danske Videnskabernes Selskab, Hist.- fil, Skrifter, 1962, Vol. 4, No. 2.

  • Neugebauer, Otto [2], “Bemerkung der Redaktion,” L. Euler, Opera Omnia, Ser. 2, Vol. 30, Zürich, 1964.

  • Tekele, Sevim [1], “Habash al-Hāsib,” Dictionary of Scientific Biography, Vol. 5, 612–620, New York, 1979.

    Google Scholar 

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  1. Audits & Surveys Worldwide Inc., 650 Avenue of the Americas, 10011, New York, NY, USA

    Jacques Dutka

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  1. Jacques Dutka
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Communicated by C. Wilson

To the memory of Narendra Thadani

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Dutka, J. A note on ‘Kepler's equation’. Arch. Hist. Exact Sci. 51, 59–65 (1997). https://doi.org/10.1007/BF00376451

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  • DOI: https://doi.org/10.1007/BF00376451

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