Two-body motion under the inverse square central force and equivalent geodesic flows

Author:

Belbruno E. A.

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modelling and Simulation,General Medicine

Reference8 articles.

1. Hamilton, Sir William R.: 1845?47,The Hodograph or a New Method of Expressing in Symbolic Language the Newtonian Law of Attraction, Proc. Royal Irish Acad. Vol.III, pp. 344?353 (see December 1846).

2. Möbius, A. F.: 1843,Die Elemente der Mechanik des Himmels, Weidmannsche Buchandlung, Leipzig, pp. 28?59, (Gesammelte Werke, Vol. IV., Verlag von S. Hirzel, 1887).

3. Moser, J.: 1970,Comm. Pure Appl. Math. 23, 609?636.

4. Osipov, Yu.: 1972,Geometrical Interpretation of Kepler's Problem., Russian Mathematical Surveys,27, Part I, p. 161.

5. Siegel, C. L. and Moser, J.: 1971,Lectures, on Celestial Mechanics, Springer-Verlag, New York, pp. 39?40.

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