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Numerical Experiments on the Tensor Virial in N-Body Systems

Published online by Cambridge University Press:  14 August 2015

R. H. Miller*
Affiliation:
Dept. of Astronomy, University of Chicago, Chicago, Ill., U.S.A.

Abstract

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Tensor generalizations of the virial theorem were checked in a 100-body integration. The virial theorem was remarkably well satisfied, and the calculation confirmed the generalized Lagrange-Jacobi identities. The potential energy tensor, the kinetic energy tensor, and the virial tensor showed surprisingly long correlation times of about of a crossing time.

Type
Part I/Spherical Systems
Copyright
Copyright © Reidel 1975 

References

Aarseth, S. J.: 1971, Astrophys. Space Sci. 14, 118.Google Scholar
Chandrasekhar, S.: 1960, Principles of Stellar Dynamics, Dover Publications Inc., New-York.Google Scholar
Chandrasekhar, S.: 1964, in Brittin, W. E. (ed.), Lectures in Theoretical Physics, University of Colorado Press, Boulder, Colo., Vol. 6, p. 1.Google Scholar
Goldstein, H.: 1960, Classical Mechanics, Addison-Wesley, Cambridge, Mass. Google Scholar
Hoerner, S. von: 1960, Z. Astrophys. 50, 184.Google Scholar
Lebowitz, J. L., Percus, J. K., and Verlet, L.: 1967, Phys. Rev. 153, 250.Google Scholar
Miller, R. H.: 1971, J. Comput. Phys. 8, 464.Google Scholar
Nacozy, P. E.: 1971, Astrophys. Space Sci. 14, 40.CrossRefGoogle Scholar
Pollard, H.: 1966, Mathematical Introduction to Celestial Mechanics, Prentice Hall Inc., Englewood Cliffs, N.J. Google Scholar
Wielen, R.: 1967, Veröffentl. Astron. Rechen-Inst. Heidelberg, Nr. 19.Google Scholar
Zwanzig, R. and Ailawadi, N. K.: 1969, Phys. Rev. 182, 280.CrossRefGoogle Scholar