Multipliers of periodic Hill solutions in the theory of moon motion and an averaging method

Author:

Kudryavtseva E. A.

Publisher

Allerton Press

Subject

General Mathematics

Reference14 articles.

1. G. W. Hill, “Researches in the Lunar Theory,” Amer. J. Math. 1 (1), 5; (2) 129; (3) 245 (1878).

2. C. L. Siegel, Vorlesungen iiber Himmelsmechanik (Springer-Verlag, Berlin, Gottingen, Heidelberg, 1956; IL, Moscow, 1959).

3. A. D. Bruno and V. P. Varin, “Periodic Solutions of A Restricted Three Body Problem for a Small Mass Ratio,” Prikladn. Matem. Mekhan. 71 (6), 1049 (2007) [J. Appl. Math. Mech. 71 (6), 933 (2007)].

4. M. Henon, “Numerical Exploration of the Restricted problem. V. Hill’s Case: Periodic Orbits and their Stability,” Astron. and Astrophys. 1 (2), 223 (1969).

5. A. Wintner, “Zur Hillschen Theorie der Variation des Mondes,” Math. Z. 24, 259 (1926).

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