  The concept of grand angular momentum is widely used in the study of N-body
problems quantum mechanically. Here, we applied it to a classical analysis of
N-body problems. Utilizing the tree representation for Jacobi and
hyperspherical coordinates, we found a decomposition of its magnitude into
magnitudes of one-body angular momenta in 3 dimensions. We generalized some
results from the two-body problem. Furthermore, we derive the general
expression for the scattering angle for the N-body problem.
