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Binary Formation and Interactions with Field Stars

Published online by Cambridge University Press:  04 August 2017

Piet Hut
Piet Hut*
Affiliation:
Institute for Advanced Study, Princeton, New Jersey 08540, USA

Abstract

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Binaries provide an energy source in dense stellar systems. Exothermic gravitational interactions in star clusters can play a role similar to that of nuclear reactions in single stars. These gravitational interactions can be modeled in a laboratory setting, in the form of numerical binary-single star and binary-binary scattering experiments. Gravitational cross sections obtained this way can be applied to model star cluster evolution, just as nuclear cross sections are used as input data in stellar evolution calculations. References are given to detailed descriptions of gravitational cross sections, and a useful new example of an application is given: the rate at which hard binaries form in a homogeneous stellar background, as the solution of an integral equation describing the combined effects of creation, destruction, hardening and softening of binaries.

Type
May 30: Model System in the Point-Mass Approximation
Information
Symposium - International Astronomical Union , Volume 113: Dynamic of Stars Clusters , 1985 , pp. 231 - 249
Copyright
Copyright © Reidel 1985 

References

Alekseev, V. M. 1981, Amer. Math. Soc. Transl. (2) 116, 97. (Translation of Ninth Math. Summer School (Kaciveli, 1971), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1972, pp 212–341) Google Scholar
Bahcall, J.N., Hut, P. and Tremaine, S.D. 1985, to be published in Astrophys. J. Google Scholar
Chazy, J. 1929, J. Math. Pures Appl. 8, 353.Google Scholar
Fullerton, L.W., and Hills, J.G. 1982, Astron. J. 87, 175.CrossRefGoogle Scholar
Goodman, J. and Hut, P. 1984, to be submitted to Astrophys. J. (paper V).Google Scholar
Gurevich, L.E. and Levin, B. Yu., 1950, Astr. Zh. 27, 273; transl. in NASA TT F-11, 541.Google Scholar
Harrington, R.S. 1974, Celest. Mech. 9, 465.CrossRefGoogle Scholar
Heggie, D.C. 1972, Ph.D thesis, Cambridge, U.K. Google Scholar
Heggie, D.C. 1974, Celest. Mech. 10, 217.Google Scholar
Heggie, D.C. 1975a, Mon. Not. R. astr. Soc. 173, 729.CrossRefGoogle Scholar
Heggie, D.C. 1975b, in Dynamics of Stellar Systems, IAU Symposium No. 69, ed. Hayli, A., p. 73 (Dordrecht: Reidel).CrossRefGoogle Scholar
Heggie, D.C. 1980, in Globular Clusters, ed. Hanes, D. and Madore, B., p. 281 (Cambridge, U.K.: University Press).Google Scholar
Heggie, D.C. and Hut, P. 1985, to be submitted to Astrophys. J. (paper IV).Google Scholar
Hénon, M. 1961, Ann. Astrophys. 24, 369.Google Scholar
Hills, J.G. 1975, Astron. J. 80, 809.CrossRefGoogle Scholar
Hills, J.G. 1983a, Astron. J. 88, 1269.Google Scholar
Hills, J.G. 1983b, Astron. J. 88, 1857.CrossRefGoogle Scholar
Hills, J.G., and Fullerton, L.W. 1980, Astron. J. 85, 1281.CrossRefGoogle Scholar
Hoffer, J.B. 1983, Astron. J. 88, 1420.Google Scholar
Hut, P. 1983a, Astrophys. J. 268, 342 (paper II).CrossRefGoogle Scholar
Hut, P. 1983b, Astrophys. J. Lett. 272, L29.Google Scholar
Hut, P. 1983c, Astron. J. 88, 1549.Google Scholar
Hut, P. 1984a, Astrophys. J. Suppl. 55, 301.CrossRefGoogle Scholar
Hut, P. 1984b, scheduled for publication in Nature.Google Scholar
Hut, P. 1984c, in International Symposium G. Lemaître, Louvain-La-Neuve, Belgium, October 1983 (Dordrecht: Reidel).Google Scholar
Hut, P. 1985, to be submitted to Ap. J. (paper III).Google Scholar
Hut, P. and Bahcall, J.N. 1983, Astrophys. J. 268, 319 (paper I).Google Scholar
Hut, P and Paczyński, B. 1984, Astrophys. J. 284.CrossRefGoogle Scholar
Hut, P. and Verbunt, F. 1983a, Nature 301, 587.CrossRefGoogle Scholar
Hut, P. and Verbunt, F. 1983b, in Cataclysmic Variables and Low-Mass X-Ray Binaries, Seventh North American Workshop, ed. Lamb, D.Q. and Patterson, J. (Dordrecht: Reidel)Google Scholar
Jeans, J. 1902, Phil. Trans. Roy. Soc. 199A, 49.Google Scholar
Krolik, J.H. 1983, Nature 305, 506.Google Scholar
Krolik, J.H. 1984, Astrophys. J. 282, 452.CrossRefGoogle Scholar
Krolik, J.H., Meiksin, A, and Joss, P.C. 1984, Astrophys. J. 282, 466.CrossRefGoogle Scholar
Lynden-Bell, D. 1973 in Dynamical Structure and Evolution of Stellar Systems, ed. Martinet, L. and Mayor, M., Third Advanced Course of the Swiss Society of Astronomy and Astrophysics at Saas Fee (Geneva Observatory, Sauverny, Switzerland).Google Scholar
Lynden-Bell, D. 1975, in IAU Symposium 69, Dynamics of Stellar Systems, ed. Hayli, A., (Dordrecht: Reidel), p. 443.CrossRefGoogle Scholar
Lynden-Bell, D. and Eggleton, P.P. 1980, Mon. Not. R. astr. Soc. 191, 483.CrossRefGoogle Scholar
Mikkola, S. 1983a, Mon. Not. R. astr. Soc. 203, 1107.CrossRefGoogle Scholar
Mikkola, S. 1983b, Mon. Not. R. astr. Soc. 205, 733.CrossRefGoogle Scholar
Mikkola, S. 1984a, Mon. Not. R. astr. Soc. 207, 115.CrossRefGoogle Scholar
Mikkola, S. 1984b, Mon. Not. R. astr. Soc. 208, 75.CrossRefGoogle Scholar
Mikkola, S. 1984c. Ph.D. thesis, Turku, Finland.Google Scholar
Monaghan, J.J. 1976a, Mon. Not. R. astr. Soc. 176, 63.CrossRefGoogle Scholar
Monaghan, J.J. 1976b, Mon. Not. R. astr. Soc. 177, 583.Google Scholar
Monaghan, J.J. 1977, Mon. Not. R. astr. Soc. 179, 31.Google Scholar
Retterer, J.M. 1980a, Astron. J. 85, 249.CrossRefGoogle Scholar
Retterer, J.M. 1980b, Ph.D. thesis, Univ. of California, Berkeley.Google Scholar
Retterer, J.M. 1984, preprint.Google Scholar
Saslaw, W.C., Valtonen, M.J., and Aarseth, S.J. 1974, Astrophys. J. 190, 253.Google Scholar
Shakeshaft, R., and Spruch, L. 1979, Rev. Mod. Phys. 51, 369.Google Scholar
Siegel, C.L., and Moser, J.K. 1971, Lectures on Celestial Mechanics (Springer: Berlin, Heidelberg, New York).Google Scholar
Spitzer, L., and Härm, R. 1958, Ap. J., 127, 544.CrossRefGoogle Scholar
Spitzer, L., and Mathieu, R.D. 1980, Astrophys. J. 241, 618.Google Scholar
Stiefel, E.L. 1973, in Recent Advances in Dynamical Astronomy, ed. Tapley, B.D. and Szebehely, V. (Reidel: Dordrecht), p. 3.CrossRefGoogle Scholar
Stiefel, E.L. and Scheifele, G. 1971, Linear and Regular Celestial Mechanics (Springer: Berlin, Heidelberg, New York).CrossRefGoogle Scholar
Valtonen, M.J. 1975, Mem. R. astr. Soc. 80, 61; 77.Google Scholar
Valtonen, M.J., and Aarseth, S.J. 1977, Rev. Mex. Astron. Astrophys. 3, 163.Google Scholar
Valtonen, M.J., and Heggie, D.C. 1979, Celest. Mech. 19, 53.CrossRefGoogle Scholar