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Belbruno, E. A.

Two-body motion under the inverse square central force and equivalent geodesic flows. (English) Zbl 0367.70005

Celestial Mech. 15, 467-476 (1977).
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Cited in 3 Reviews
Cited in 17 Documents

MSC:

70F05 Two-body problems
53A05 Surfaces in Euclidean and related spaces
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References:

[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. · Zbl 0193.53803 · doi:10.1002/cpa.3160230406
[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.
[6] Stiefel, E. L. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer-Verlag, N.Y. · Zbl 0226.70005
[7] Sun, F. T.: 1966,A Special Hodograph for Orbital Motion, 2nd International Symposium on Rockets and Astronautics, Tokyo, May 1960, Proc. Yokendo Bunkyo-Ku, Tokyo (in particular, see p. 170).
[8] Sun, F. T.: 1969,On the use of Hodographic Mapping in Trajectory Analysis, N.A.S.A., PM-82.
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