The arclength S' is: 



V7^ 



C'^ (19) 



Equations (9J through (15) provide the parameters for the imaginary 

 catenary segment "A'B, while equatio ns (16) through (19) give the required 

 parameters for the entire catenary A'C (imaginary and actual segments). 

 It is now a simple matter of subtracting the imaginary segment from the 

 entire catenary yielding the required parameters for segment BC, the actual 

 catenary segment. 



The horizontal distance X for the catenary segment BC^ is: 



X = X' - x' (20) 



The tension in the cable at point C (ship's position) is: 



T" = Y'w (21) 



The arc length S is: 



S = S" - s' (22) 



The total length of cable ABC shown in figure 9 is given by: 



S^ = S + s (23) 



The total weight of the cable plus load is: 



W^ = S^w + P (24) 



The total horizontal distance X. is: 



X^ = X + X (25) 



In summary, the known values are: 



w = linear density of cable 



s = length of sweepline 



d = height of sentinel 



P = weight of sentinel 



D = depth from surface to bottom 



The calculated parameters, not including intermediate values, are: 



H = horizontal tension at anchor 



T = tension in sweepline at sentinel 



T' = tension in cable at sentinel 



T" = tension in cable at ship 



X = horizontal distance of sweepline 



Xj = horizontal distance from anchor to ship 



S-j- = total cable payed out from anchor to ship 



