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Orbits asymptotic to the straight line equilibrium points in the problem of three finite bodies

  • Memorie e Comunicazioni
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Rendiconti del Circolo Matematico di Palermo (1884-1940)

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References

  1. Ch.Lagrange,Oeuvres complètes, (Paris, Gauthier-Villars), vol. VI, pp. 229–324;P. Tisserand,Traité de Mécanique céleste, t. I (Paris, Gauthier-Villars, 1889), Chap. VIII;F. R. Moulton,Introduction to Celestial Mechanics (New York, Mac Millan, 1914), pp. 309–318.

  2. H. Poincaré,Les Méthodes nouvelles de la Mécanique céleste, t. I (Paris, Gauthier-Villars, 1892), Chap. VII.

  3. L. A. H. Warren,A class of Asymptotic Orbits in the Problem of Three Bodies [American Journal of Mathematics, vol. XXXVIII (1916), pp. 221–248].

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  4. D. Buchanan,Asymptotic Satelites near the Straight-Line Equilibrium Points in the Problem of Three Bodies [American Journal of Mathematics, vol. XLI (1919), pp. 79–110].

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  5. F. R. Moulton,Periodic Orbits (Washington, Carnegie Institution, 1920), Chap. V.

  6. D. Buchanan,Asymptotic Satellites near Equilateral. Triangle Equilibrium Points in the Problem of Three Bodies [Transactions of the Cambridge Philosophical Society, vol. XXII, No. XV (1919), pp. 309–340].

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  7. Chap. IX of Moulton’sPeriodic Orbits, loc. 7).

  8. D. Buchanan,Orbits Asymptotic to an Isosceles-Triangle Solution of the Problem of Three Bodies [Proceedings of the London Mathematical Society, Series II, vol. XVII, Part 1, pp. 54–74].

  9. D. Buchanan, Chap. X ofMoulton’s Periodic Orbits, 1. c. 7).

  10. A determination of the straight line equlibrium points to which the preceding is somewhat similar may be found in any treatise on Celestial Mechanics, but seeMoulton’s Introduction to Celestial Mechanics, l. c. 2), pp. 309–312.

  11. 1. c. 4), p. 340.

  12. 1. c. 4), p. 341.

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  1. The University of British Columbia, Vancouver, Canada

    Daniel Buchanan

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  1. Daniel Buchanan
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Buchanan, D. Orbits asymptotic to the straight line equilibrium points in the problem of three finite bodies. Rend. Circ. Matem. Palermo 45, 332–356 (1921). https://doi.org/10.1007/BF03018146

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  • DOI: https://doi.org/10.1007/BF03018146

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