Abstract
Recent results and existence proofs concerning periodic motions of circular-elliptic type forN=3 andN=4 are reviewed.
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References
Arenstorf, R. F.: 1963,Am. J. Math. 85, 27–35.
Arenstorf, R. F.: 1966,J. Reine Angew. Math. 221, 113–145.
Arenstorf, R. F.: 1967,Differential Equations and Dynamical Systems, Academic Press, New York, pp. 55–68.
Arenstorf, R. F.: 1968,J. Diff. Eq. 4, 202–256.
Bozeman, R. E.: 1973, Ph.D. Diss., Vanderbilt University.
Crandall, M. G.: 1967,Am. J. Math. 89, 275–318.
Moulton, F. R.: 1906,Trans. Am. Math. Soc. 7, 537–577.
Perron, O.: 1936,Ann. Math. 113, 95–109.
Siegel, C. L. and Moser, J. K.: 1971,Lectures on Celestial Mechanics, Springer-Verlag, New York, §20, 21.
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Arenstorf, R.F. Some families of periodic solutions in the planarN-body problem. Celestial Mechanics 14, 5–9 (1976). https://doi.org/10.1007/BF01247126
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DOI: https://doi.org/10.1007/BF01247126