DYNAMICS AND KINEMATICS OF SUBMARINE CABLE 1131 



Deviation from mean pay-out or 

 haul-in rate 



Arc length and horizontal distance 

 from the touchdown point to the ship 



Dimensionless forms of S and X 



Time 



Dimensionless time 



T, Ts , To Cable tension at an arbitrary point, 



at the ship, and at the bottom 



T = ^, Ts = '^, % = ^ Dimensionless forms of T, Ts and To 



wh wh wh 



Tp , Tq Cable tension due to longitudinal and 



transverse ship motion 



V, Vc Ship speed, pay-out or haul-in rate 



Vff , Vt Normal and tangential velocity of the 



water relative to the cable configura- 

 tion 



Vt Tangential velocity of the water rela- 



tive to a cable element 



w, Wa Submerged and in-air vmit cable 



weight 



a, an Critical angle, approximate critical 



angle 



as Cable angle at the surface 



(S Descent angle, cross current orienta- 



tion (Section 7.1) 



7 = - — r—: Constant, also ascent angle 



sm'^ a 



e 



Slack 



6 Orientation of a cable element 



6, \J/ Spherical polar coordinates for the 



three-dimensional model 



K, X Constants (see Appendix C) 



