APPENDIX 



CALCULATED KITING BEHAVIOR OF CONFIGURATION A-1 AT SELECTED 

 TOW SPEEDS, TOWLINE SCOPES AND DEPRESSOR CONFIGURATIONS 



Basin performance data for the towline configuration A-1 sample length pro- 

 vided the information necessary to develop mathematical expressions for the normal 

 drag and side force coefficients given below: 



Cr = 0.0698 + 59603. 9/Rjj (6) 



Cg = 0.0269 + 11680. 7/R^ (7) 



These mathematical relationships in conjunction with the drag and side force 

 loading functions, the physical characteristics of the towline, and the computer 

 program for determining the three-dimensional equilibrium configuration of a 

 towline-body system were used to calculate the towline configuration for selected 

 towline scopes, tow speeds and depressor tension vectors. The resulting 

 calculated towline catenaries can be used to examine the influence of these 

 selected parameters on towline kite angle at the towing platform. 



PROCEDURES 

 Calculations of the towline configuration were carried out by systematic 

 variations of towline scope and depressor tension over a range from 91 m (300 ft) 

 to 610 m (2000 ft) and 0.4 N (0.1 lb) to 35.6 kN (8000 lb), respectively, at tow 

 speeds of 5.15 and 15.46 m/s (10 and 30 knots). All of the depressor configura- 

 tions selected for this analysis had a lift-to-drag ratio of 4.7 ((j» = 78 degrees) 

 with variations of the depressor configuration only consisting of changes to the 

 magnitude of the tension force. The values of C^ and Cg were determined using the 

 mathematical expressions presented above for tow speeds of 5.15 and 15.46 m/s (10 

 and 30 knots). 



RESULTS 

 The results of the calculations for tow speeds of 5.15 and 15.46 m/s (10 and 

 30 knots) are shown graphically in Figures A.l and A.2, respectively. Both of 

 these figures present the kite angle at the towing platform as a function of 

 depressor force for selected scope lengths. 



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