Abstract
In studies of the three-body problem, bound orbits and especially periodic orbits have traditionally received much attention. Complementary to these, however, are the scattering orbits, where at least one body is unbound initially and (in the generic case) also at least one body escapes after a finite period of close three-body interaction. These scattering orbits play an important role in stellar dynamics. Three-body interactions exchange energy and angular momentum between internal degrees of freedom of binary stars, and external degrees of freedom of both the single stars and the center of mass motion of binaries. In this way three-body scattering can significantly influence the evolution of a star cluster.
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References
Aarseth, S. J. 1972, in Gravitational N-Body Problem, IAU colloq. 10, ed. M. Lecar (Dordrecht: Reidel), p. 88.
Aarseth, S. J. and Lecar, M. 1975 in Ann. Rev. Astron. Astrophys. 13, p. 1.
Alekseev, V. M. 1981, Amer. Math. Soc. Transl. (2) 116, p. 97. [Translation of Ninth Math. Summer School (Kaciveli, 1971, Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1972, pp. 212ā341]
Arnolād, V. I. 1978, Mathematical Methods of Classical Mechanics (Springer).
Bettwieser, E. and Sugimoto, D. 1983, preprint, to be published in Mon. Not. R. astr. Soc.
Cohn, H. 1979, Astrophys. J. 234, p. 1036.
Cohn, H. 1980, Astrophys. J. 242, p. 765.
Fullerton, L. W., and Hills, J. G. 1982, Astron. J. 87, p. 175.
Goodman, J. 1983, preprint, to be published in Astrophys. J.
Heggie, D. C. 1975, Mon. Not. R. astr. Soc. 173, p. 729.
Hachisu, I., Nakada, Y., Nomoto, K. and Sugimoto, D. 1978, Prog. Theor. Phys. 60, p. 393.
Heggie, D. C. 1980, in Globular Clusters, ed. D. Hanes and B. Madore, p. 281 (Cambridge, U.K.: University Press).
Heggie, D. C. 1983, preprint, to be published in Mon. Not. R. astr. Soc.
HĆ©non, M. 1961, Ann. Astrophys. 24, p. 369.
HĆ©non, M. 1965, Ann. Astrophys. 28, p. 62.
HĆ©non, M. 1972, in Gravitational N-Body Problem, IAU colloq. 10, ed. M. Lecar (Dordrecht: Reidel), p. 406.
Henon, M. 1975, in Dynamics of Stellar System, IAU Symp. 69, ed. A. Hayli (Dordrecht: Reidel), p. 133.
Hills, J. G. 1975, Astron. J. 80, p. 809.
Hills, J. G., and Fullerton, L. W. 1980, Astron. J. 85, p. 1281.
Hut, P. and Bahcall, J. N. 1983, Astrophys. J. 268, p. 319 (Paper I).
Hut, P. 1983a, Astrophys. J. 268, p. 342 (Paper II).
Hut, P. 1983b, Astrophys. J. Lett. 272, L29.
Hut, P. 1983c, Astron. J. 88, p. 1549.
Hut, P. 1984, in preparation (Paper III).
Hut, P. and Verbunt, F. 1983a, Nature 301, 587.
Hut, P. and Verbunt, F. 1983b, in Cataclysmic Variables and Low-Mass X-Ray Binaries, Seventh North American Workshop, ed. D. Q. Lamb and J. Patterson (Dordrecht: Reidel)
Inagaki, S. and Lynden-Bell, D. 1983, preprint, to be published in Mon. Not. R. astr. Soc.
King, I. R. 1980, in Star Clusters, IAU Symp. 85, J. E. Hesser (Dordrecht: Reidel), p. 139.
Landau, L. D. and Lifshitz, E. M. 1965, Course of Theoretical Physics, Vol. 3, Quantum Mechanics (Pergamon), second edition p. 473 (third edition, 1977, p. 507).
Lightman, A. P. and Shapiro, S. L. 1978, Rev. Mod. Phys. 50, p. 43
Lynden-Bell, D. 1973, in Dynamical Structure and Evolution of Stellar Systems, ed. L. Martinet and M. Mayor, Third Advanced Course of the Swiss Society of Astronomy and Astrophysics at Saas Fee (Geneva Observatory, Sauverny, Switzerland).
Lynden-Bell, D. and Eggleton, P. P. 1980, Mon. Not. R. astr. Soc. 191, 483.
McMillan, S. L. W. 1983, PhD thesis, Harvard.
McGehee, R. 1974, Invent. Math. 27, 191.
Mikkola, S. 1983, Mon. Not. R. astr. Soc. 203, p. 1107.
Monaghan, J. J. 1976a, Mon. Not. R. astr. Soc. 176, p. 63.
Monaghan, J. J. 1976b, Mon. Not. R. astr. Soc. 177, p. 583.
Monaghan, J. J. 1977, Mon. Not. R. astr. Soc. 179, p. 31.
Nash, P. E. and Monaghan, J. J. 1978, Mon. Not. R. astr. Soc. 184, p. 119.
Saslaw, W. C., Valtonen, M. J., and Aarseth, S. J. 1974, Astrophys. J. 190, p. 253.
SimĆ³, C. 1981, in Classical Mechanics and Dynamical Systems, ed. R. L. Devaney and Z. H. Nitecki (Dekker, New York).
Spitzer, L. 1975, in Dynamics of Stellar Systems, IAU Symp. 69, ed. A. Hayli (Dordrecht: Reidel), p. 3.
Spitzer, L. and Mathieu, R. D. 1980, Astrophys. J. 241, p. 618.
StodĆ³lkiewicz, J. S. 1982, Acta Astron. 32, p. 63.
Sugimoto, D. and Bettwieser, E. 1983, Mon. Not. R. astr. Soc. 204, 19p.
Valtonen, M. J. 1975, Mem. R. astr. Soc. 80, 61; p. 77.
Valtonen, M. J., and Aarseth, S. J. 1977, Rev. Mex. Astron. Astrophy. 3, p. 163.
Valtonen, M. J., and Heggie, D. C. 1979, Celest. Mech. 19, p. 53.
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Hut, P. (1984). The Three-Body Problem in Stellar Dynamics. In: Berger, A. (eds) The Big Bang and Georges LemaƮtre. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6487-7_21
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