Internal or shape coordinates in the {ital n}-body problem
- Department of Physics, University of California, Berkeley, California 94720 (United States)
The construction of global shape coordinates for the {ital n}-body problem is considered. Special attention is given to the three- and four-body problems. Quantities, including candidates for coordinates, are organized according to their transformation properties under so-called democracy transformations (orthogonal transformations of Jacobi vectors). Important submanifolds of shape space are identified and their topology studied, including the manifolds upon which shapes are coplanar or collinear, and the manifolds upon which the moment of inertia tensor is degenerate.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 115905
- Journal Information:
- Physical Review A, Vol. 52, Issue 3; Other Information: PBD: Sep 1995
- Country of Publication:
- United States
- Language:
- English
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