Kinematic Orbits and the Structure of the Internal Space for Systems of Five or More Bodies
نویسندگان
چکیده
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 threeand four-body problems, we derive the form of these kinematic orbits (that is, their topology) for the general nbody problem. The case n = 5 is studied in detail, along with the previously studied cases n = 3, 4.
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