We developed a continuous linear-elastic one-dimensional analytic model tha
t should accurately represent a vertically tethered system subject to surfa
ce excitation. Our model accurately predicts: (a) the transfer function bet
ween the motion of the ship and cage, (b) the transfer function between shi
p motion and tension in the tether and (c) the natural frequency and its ha
rmonics of the ROPOS deep-sea ROV system for depths between 0 and 1765 m up
to moderately rough sea conditions. By solving the ship-cage motion transf
er function for the onset of zero tension in the tether, we were able to pr
edict the amplitude of ship motion that triggers a snap load. The solution
to our model requires only two non-dimensional parameters representing the
mass ratio of the cage and tether and the force ratio of drag to tension. T
he predicted transfer function and natural frequency are not excessively se
nsitive to the value of these parameters for the ROPOS ROV system. (C) 1999
Elsevier Science Ltd. All rights reserved.