  The complete solution for two unequal counter-rotating black holes separated
by a massless strut, is developed in terms of four arbitrary parameters
involving two quantities \sigma 1 and \sigma 2 as the half length of the two
rods representing the black hole horizons, the total mass M and the relative
distance R between the centers of the horizons. A further attempt for
describing the explicit form of this solution in terms of the physical
parameters: The two Komar masses M1 and M2, Komar angular momenta per unit mass
a1 and a2 (a1 and a2 have opposite sign), and the coordinate distance R, guided
us to a 4-parameter subclass in which the five physical parameters satisfy a
simple algebraic relation and the interaction force in this scheme looks like
Schwarzschild type.
