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On the Geometrical and Physical Meaning of Newton’s Solution to Kepler’s Problem

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Abstract

In the short treatise De Motu (1684),which serves as a precursor to the Principia Mathematica (1687),Newton essentially deals with the following two problems.

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References

  1. Albouy, A.:Lectures on the Two-Body Problem, in H. Cabral and F. Diacu (eds.), Celestial Mechanics—The Recife Lectures, Princeton University Press: Princeton (2002).

    Google Scholar 

  2. Arnol’d, V. I.: Mathematical Methods of Classical Mechanics, Springer-Verlag: New York, Heidelberg, Berlin (1978).

    Book  Google Scholar 

  3. ——: Huygens and Barrow, Newton and Hooke, Birkhäuser: Basel, Boston, Berlin (1990).

    Book  MATH  Google Scholar 

  4. Chandrasekhar, S.: Newton’sPrincipia for the Common Reader, Clarendon Press, Oxford (1995).

    MATH  Google Scholar 

  5. Cohen, I. B.:A Guide to Newton’s Principia, in Newton I.:The Principia, new translation by I. B. Cohen and A. Whitman, University of California Press, Berkeley (1999).

    Google Scholar 

  6. De Gandt, F.: Force and Geometry in Newton’sPrincipia, Princeton University Press, Princeton (1995).

    MATH  Google Scholar 

  7. Newton I.:Principia, Motte’s translation, revised by F. Cajori, University of California Press, Berkeley (1962). (For a new translation see [5].)

    Google Scholar 

  8. Pólya, G.: Mathematical Methods in Science, Mathematical Association of America: Washington, D.C. (1977).

    MATH  Google Scholar 

  9. Pourciau, B.:Reading the Master: Newton and the Birth of Celestial Mechanics, Amer. Math. Monthly104 (1997), 1–19.

    Article  MATH  MathSciNet  Google Scholar 

  10. Stein, S. K.:Exactly How Did Newton Deal with His Planets?, Math. Intelligencer18 (1996), no. 2, 6–11.

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Kai Hauser.

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Hauser, K., Lang, R. On the Geometrical and Physical Meaning of Newton’s Solution to Kepler’s Problem. The Mathematical Intelligencer 25, 35–44 (2003). https://doi.org/10.1007/BF02984860

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