Abstract
New analytic approximations for central orbits show that in Kepler’s problem the variation of the fourth power of the radius is sinusoidal in time. Related approximations are used to calculate the tidal trails generated in a logarithmic potential at the pericentric passage of a small victim. The structure of the simplest mass-segregated isothermal clusters is that of polytropes of negative index. These are at Maxwell–Boltzmann equilibrium under two body encounters but they can still evolve, either by multiple encounters to form binary or multiple stars or via Antonov’s gravothermal instability.
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References
Aarseth, S.V. 1968, Bull Astron, 3(5), 105
Antonov, V.A. 1962, Vest. Leningrad University, vol. 7, p. 135, Translation (1995): IAU Symposium 113, 13, p. 525
Binney, J.J., Tremaine, S.D. 2008, Galactic Dynamics 2nd ed., Princeton University Press, Princeton, NJ, vol. 23, p. 389
Cohn, H. 1980, ApJ, 242(17), 765
Freeman, K.C. 1966, MNRAS, 134(3), 1
Freeman, K.C. 1966, MNRAS, 134(4), 15
Freeman, K.C., Norris, J.E. 1981, ARA&A, 19(1), 319
Freeman, K.C. Bland-Hawthorne, J. 2002, ARA&A, 40(2), 487
Hachisu, I., Nakada, Y., Nomoto, K., Sugimoto, D. 1978, PThPh, 60(16), 393
Heggie, D.C., Hut, P. 2003, The Gravitational Million-Body Problem, Cambridge University Press, Cambridge, p. 22
Heggie, D.C., Stevenson, D. 1988, MNRAS, 230(19), 223
Henon, M. 1961, Ann Astrophys, 24(12), 369
Lin, D.N.C., Lynden-Bell, D. 1982, MNRAS, 198(88), 707
Lynden-Bell, D. 1963, Observatory, 83(10), 23
Lynden-Bell, D. 1999, Physica A, 263(20), 293
Lynden-Bell, D. 2010, MNRAS, 402(9), 1937
Lynden-Bell, D., Eggleton, P.P. 1980, MNRAS, 191(18), 483
Lynden-Bell, D., Jin, S. 2008, MNRAS, 386(11), 245
Lynden-Bell, D., Wood, R. 1968, MNRAS, 138(14), 495
Padmanabhan, T. 1990, Phys Rep, 188(15), 285
Spitzer, L. 1969, ApJ, 158(21), L139
Toomre, A., Toomre, J. 1972, ApJ, 178(7), 623
Van Albada, T.S. 1995, Bull Astron Neth, 19(6), 478
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Lynden-Bell, D. (2010). Tidal Trails and Mass-Segregated Isothermal Clusters. In: Block, D., Freeman, K., Puerari, I. (eds) Galaxies and their Masks. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7317-7_20
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DOI: https://doi.org/10.1007/978-1-4419-7317-7_20
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