  Using recent results of P. Etingof and A. Varchenko on the Classical
Dynamical Yang-Baxter equation, we reduce the classification of dynamical
r-matrices r on a commutative subalgebra l of a Lie algebra g to a purely
algebraic problem under some technical conditions on the symmetric part of r.
Using this, we then classify all non skew-symmetric dynamical r-matrices when g
is a simple Lie algebra and l a commutative subalgebra containing a regular
semisimple element. This partially answers a question in [EV] q-alg/9703040 and
generalizes the Belavin-Drinfeld classification of constant r-matrices. This
classification is similar and in some sense simpler than the Belavin-Drinfeld
classification.
