Kinematic orbits and the structure of the internal space for systems of five or more bodies

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Description

The internal space for a molecule, atom, or other n-body system can be conveniently parameterized by 3n - 9 kinematic angles and three hematic invariants. For a fixed set of kinematic invariants, the kinematic angles parameterize a subspace, called a kinematic orbit, of the n-body internal space. Building on an earlier analysis of the three- and four-body problems, we derive the form of these kinematic orbits (that is, their topology) for the general n-body problem. The case n = 5 is studied in detail, along with the previously studied cases n = 3,4.

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38 pages

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Mitchell, Kevin A. & Littlejohn, Robert G. October 1, 1999.

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Description

The internal space for a molecule, atom, or other n-body system can be conveniently parameterized by 3n - 9 kinematic angles and three hematic invariants. For a fixed set of kinematic invariants, the kinematic angles parameterize a subspace, called a kinematic orbit, of the n-body internal space. Building on an earlier analysis of the three- and four-body problems, we derive the form of these kinematic orbits (that is, their topology) for the general n-body problem. The case n = 5 is studied in detail, along with the previously studied cases n = 3,4.

Physical Description

38 pages

Notes

OSTI as DE00841544

Source

  • Journal Name: Journal of Physics A-Mathematical and General; Journal Volume: 33; Journal Issue: 7; Other Information: Submitted to Journal of Physics A-Mathematical and General: Volume 33, No.7; Journal Publication Date: 02/25/2000

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  • Report No.: LBNL--44437
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 841544
  • Archival Resource Key: ark:/67531/metadc788901

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  • October 1, 1999

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  • Dec. 3, 2015, 9:30 a.m.

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  • Sept. 21, 2017, 6:04 p.m.

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Mitchell, Kevin A. & Littlejohn, Robert G. Kinematic orbits and the structure of the internal space for systems of five or more bodies, article, October 1, 1999; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc788901/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.