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Kinematic Orbits and the Structure of the Internal Space for Systems of Five or More Bodies

Kevin A. Mitchell·Robert G. Littlejohn
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Abstract

The internal space for a molecule, atom, or other n-body system can be conveniently parameterised by 3n-9 kinematic angles and three kinematic invariants. For a fixed set of kinematic invariants, the kinematic angles parameterise 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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Kevin A. Mitchell, Robert G. Littlejohn. 1999-09-30. Kinematic Orbits and the Structure of the Internal Space for Systems of Five or More Bodies. https://doi.org/10.1088/0305-4470%2F33%2F7%2F309

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