In a conservative two body collision, both kinetic energy and momentum are conserved.
These are two linear equations in the six unknowns
Coefficient of Restitution, Collision Coefficient, Conservation of Momentum, Elastic Collision, Inelastic Collision
References
Bransden, B. H. Atomic Collision Theory. New York: W. A. Benjamin, 1970.
Child, M. S. Molecular Collision Theory. New York: Dover, 1997.
Mott, N. F. and Massey, H. S. W. The Theory of Atomic Collisions, 3rd ed. Oxford, Clarendon Press, 1965.
O'Hanian, H. C. "Collisions." Ch. 10 in Physics, Vol. 1. New York: W. W. Norton, pp. 223-245, 1985.
Weisstein, E. W. "Books about Collisions." http://www.ericweisstein.com/encyclopedias/books/Collisions.html.
