  An impulsively starting motion of two cylindrical bodies floating on a free
liquid surface is considered. The shape of the cross-section of each body and
the distance between them is arbitrary. The integral hodograph method is
advanced to derive the complex velocity potential defined in a rectangle
parameter region in terms of the elliptic quasi-doubly periodic Jacobi theta
functions. A system of singular integral equations in the velocity magnitude on
the free surface and in the slope of the wetted part of each body is derived
using the kinematic boundary condition, which is then solved numerically. The
velocity field, the pressure impulse on the bodies, and the added mass
coefficients of each body immediately after the impact are determined in a wide
range of distances between the bodies and for the cross-sectional shapes such
as flat plate and half-circle.
