The internal space for a molecule, atom, or other n-body system can beconveniently parameterised by 3n-9 kinematic angles and three kinematicinvariants. For a fixed set of kinematic invariants, the kinematic anglesparameterise a subspace, called a kinematic orbit, of the n-body internalspace. Building on an earlier analysis of the three- and four-body problems, wederive the form of these kinematic orbits (that is, their topology) for thegeneral n-body problem. The case n=5 is studied in detail, along with thepreviously studied cases n=3,4.
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