Arnol'd's transformation - An example of a generalized canonical transformation

Journal of Mathematical Physics

Volumn 39, Issue 7, 1998, Pages 3661-3669

  Stump, Daniel R ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032384473     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532458     Document Type: Article

References (8)

1. V. I. Arnol'd, Huygens and Barrow, Newton and Hooke (Birkhauser-Verlag, Basel, 1990).
2. T. Needham, Am. Math. Monthly 100, 119 (1993); T. Needham, Visual Complex Analysis (Oxford University Press, Oxford, 1997).
3. T. Needham, Am. Math. Monthly 100, 119 (1993); T. Needham, Visual Complex Analysis (Oxford University Press, Oxford, 1997).
4. D. R. Stump, "On the duality of elliptical orbits of Hooke and Kepler," submitted to Am. J. Phys.
5. Arnol'd (see Ref. 1) credits the discovery of such a transformation between elliptical orbits to K. Bohlin, Bull. Astron. 28, 144 (1911); Needham (see Ref. 2) also cites similar earlier work by Kasner.
6. H. Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley, Reading, 1980).
7. I. Percival and D. Richards, Introduction to Dynamics (Cambridge University Press, Cambridge, 1982).
8. D. T. Greenwood, Principles of Dynamics (Prentice-Hall, Englewood Cliffs, 1965).