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References
American Journal of Mathematics, Vol. 1 pp. 5–29, 129–147, 245–260 andActa Mathematica, T. 8 pp. 1–36.
Mécanique Céleste, T. I, p. 82.
Mécanique Céleste, T. I, p. 101.
A somewhat similar investigation is contained in a paper by M. Bohlin,Acta Math. T. 10, p. 109 (1887). The author takes the Sun as a fixed centre, which is equivalent to taking the Sun's mass as very large compared with that of Jove; he thus fails to obtain the function Ω in the symmetrical form used above.
Amer. Journ. of Math. Vol. I, pp. 5–29.
Popular Lectures, vol. 1, 2nd ed. pp. 31–42; Phil. Mag. vol. 34, 1892, pp. 443–448.
On the part of the motion of the moon's perigee etc.Acta Mathem. Vol. 8, pp. 1–36.
Acta Mathem. vol. 8.
Sir William Thomson,On the Instability of Periodic Motion, Philosophical Magazine, vol. 32, 1891, p. 555. M. Poincaré also considers that orbits may have a temporary, but not a secular stability.Acta Mathem. T. 13, 1890, p. 101.
M. Poincaré has, on other grounds, arrived at the conclusion that theA orbits and the figure-of-8 orbits are not algebraically continuous. See Méc. Cél. T. III, p. 354.
Méc. Cél., p. 109.
Phil. Mag., Nov. 1892.
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Darwin, G.H. Periodic orbits. Math. Ann. 51, 523–583 (1899). https://doi.org/10.1007/BF01453705
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DOI: https://doi.org/10.1007/BF01453705