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Statistics of Three-Body Experiments

Published online by Cambridge University Press:  14 August 2015

M. J. Valtonen
M. J. Valtonen*
Affiliation:
Institute of Astronomy, Cambridge, U.K.

Abstract

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A large number of three-body interactions involving one initial binary have been studied by a numerical regularization technique. In each set of experiments some parameters have fixed values, whereas others are selected by uniform sampling of the corresponding distribution functions. Similar statistical results are obtained for different random number sequences at a lower integration accuracy.

This experimental approach permits an approximate determination of the final distributions of eccentricity, velocity and lifetime. These results show a strong dependence on the total angular momentum, total energy and the mass range, whereas other parameters are usually of secondary importance.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 62: The Stability of the Solar System , 1974 , pp. 211 - 223
Copyright
Copyright © Reidel 1974 

References

Aarseth, S. J.: 1971, Astrophys. Space Sci. 14, 118.CrossRefGoogle Scholar
Agekyan, T. A. and Anosova, Zh. P.: 1967, Soviet Astron. 11, 1006.Google Scholar
Agekyan, T. A. and Anosova, Zh. P.: 1968, Astrophys. 4, 11.CrossRefGoogle Scholar
Anosova, Zh. P.: 1969a, Astrophys. 5, 81.CrossRefGoogle Scholar
Anosova, Zh. P.: 1969b, Publ. Astron. Obs. Leningrad 26, 88.Google Scholar
Heggie, D. C.: 1972, Thesis, Cambridge University.Google Scholar
Heggie, D. C.: 1973, in Tapley, B. D. and Szebehely, V. (eds.), Recent Advances in Dynamical Astronomy , D. Reidel, Dordrecht, The Netherlands, p. 34.CrossRefGoogle Scholar
Saslaw, W. C., Valtonen, M. J., and Aarseth, S. J.: 1974, Astrophys. J. (to be published).Google Scholar
Standish, E. M.: 1972, Astron. Astrophys. 21, 185.Google Scholar
Szebehely, V.: 1972, Celes. Mech. 6, 84.CrossRefGoogle Scholar
Szebehely, V. and Peters, C. F.: 1967, Astron. J. 72, 876.CrossRefGoogle Scholar