Permanent configurations in the 𝑛-body problem

Permanent configurations in the $n$-body problem
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by Carl Holtom

Trans. Amer. Math. Soc. 54 (1943), 520-543

DOI: https://doi.org/10.1090/S0002-9947-1943-0008951-6

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References

Sur l’équilibre relatif de $n$-corps

Su alcuni casi particolari del problema dei tre corpi

Über einen merkwürdigen Fall des Vielkörperproblems

Theoria motuum planetarum et cometarum

De motu rectilineo trium corporum se mutuo attrahentium

Considérations sur le Problème des trois corps

Bounds for the libration points in a restricted problem of $n$-bodies

Erweiterung der bekannten Speziallösung des dreikörper Problems

Essai sur le problème des trois corps

Über zwei Fälle des vielkörper Problems

W. R. Longley, Some particular solutions in the problem of $n$ bodies, Bull. Amer. Math. Soc. 13 (1907), no. 7, 324–335. MR 1558474, DOI 10.1090/S0002-9904-1907-01475-1

Dynamics of rigid bodies

W. D. MacMillan and Walter Bartky, Permanent configurations in the problem of four bodies, Trans. Amer. Math. Soc. 34 (1932), no. 4, 838–875. MR 1501666, DOI 10.1090/S0002-9947-1932-1501666-7
F. R. Moulton, The straight line solutions of the problem of $n$ bodies, Ann. of Math. (2) 12 (1910), no. 1, 1–17. MR 1503509, DOI 10.2307/2007159

Principia

Mécanique céleste

W. L. Williams, Permanent configurations in the problem of five bodies, Trans. Amer. Math. Soc. 44 (1938), no. 3, 563–579. MR 1501982, DOI 10.1090/S0002-9947-1938-1501982-4
Aurel Wintner, The Analytical Foundations of Celestial Mechanics, Princeton Mathematical Series, vol. 5, Princeton University Press, Princeton, N. J., 1941. MR 0005824