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Numerical Experiments in Collisionless Systems

  • R. H. Miller (a1)

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Gravitational n-body calculations handling 105 particles have become routine in the last three or four years. The plasma physicists have also run calculations with comparable numbers of particles – you will hear of these from Dawson this afternoon. In the stellar dynamics area, two groups have been making these calculations – our own group with Kevin Prendergast and William Quirk, and the competition, the group that formed when Roger Hockney and Frank Hohl merged (and later parted ways). Our calculation is described in Miller and Prendergast (1968); theirs is best described by Hohl and Hockney (1969), and some very thorough discussions of computational speed of force calculations by Hockney (1970).

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References

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Chandrasekhar, S.: 1960, Principles of Stellar Dynamics, Dover Publications, Inc., New York.
Code, A. D.: 1967, Astron. J. 72, 78990 (A).
Contopoulos, G.: 1966, ‘Problems of Stellar Dynamics’, pp. 169257 in Relativity Theory and Astrophysics (Ehlers, J., ed.) Vol.1 American Mathematical Society, Providence, R.I.
Hockney, R. W.: 1970, Methods in Computational Physics, Vol. 9, pp. 136212, (Adler, B., Fern-bach, S., and Rotenberg, M., eds.), Academic Press New York.
Hockney, R. W. and Hohl, F.: 1969, Astron. J. 74, 1102.
Hohl, F. and Hockney, R. W. : 1969, J. Comp. Phys. 4, 306.
Lee, E. P.: 1967, Astrophys. J. 148, 185.
Lin, C. C., Yuan, C., and Shu, F. H.: 1969, Astrophys. J. 155, 721.
Lynden-Bell, D.: 1962, Monthly Notices Roy. Astron. Soc. 144, 279.
Miller, R. H.: 1970, J. Comp. Phys. 6, 449.
Miller, R. H. and Alton, N.: 1968, ‘Three Dimensional N-Body Calculation’, ICR Quarterly Report, No. 18 (August 1, 1968), Institute for Computer Research, University of Chicago (Unpublished).
Miller, R. H. and Prendergast, K. H.: 1968, Astrophys. J. 151, 699709.
Miller, R. H., Prendergast, K. H., and Quirk, W. J.: 1970, Astrophys. J. (to be published).
Ng, E.: 1967, Astrophys. J. 150, 787.
Quirk, William J.: 1970, Ph.D. Thesis, Columbia University, (Unpublished).
Schmidt, M.: 1965, Galactic Structure, pp. 51330. (Blaauw, A. and Schmidt, M., eds.) University of Chicago Press, Chicago, Vol. V, of Stars and Stellar Systems, (Middlehurst, B. M. and Kuiper, G., eds.).
Toomre, A. : 1963, Astrophys. J. 138, 385.
Toomre, A.: 1964, Astrophys. J. 139, 1217.

Numerical Experiments in Collisionless Systems

  • R. H. Miller (a1)

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