angle spectrum has a typical peak, occurring between 16 and 20 seconds, which is 

 associated with the natural rolling period of the REDFIN. The natural rolling period 

 of the REDFIN is about 18 seconds. Secondary peaks in Run 3, occurring at periods 

 lower than 10 seconds, are associated with the lower period waves observed during 

 this run (Table 1). Table 3 presents the 90-percent confidence intervals for all analog 

 spectra discussed in this report. 



TABLE 2. NINETY PERCENT CONFIDENCE INTERVALS FOR 

 DIGITAL SPECTRA OF SURFACE WAVE HEIGHTS 



Degrees of 

 Run No. Freedom Lower Limit Upper Limit 



4 - ] 80 .78 P (f) 1.27 P_(f) 



4-2 80 .78 1.27 



4-3 80 .78 {.27 



4-4 80 .78 1.27 



6-1 60 .74 1 .39 



6-2 60 .74 1.39 



6-3 66 .76 1.37 



6-4 68 .76 1.35 



D. Transverse Relative Flow Velocity Spectra 



Figures 16 and 17 present energy spectra of transverse relative flow velocity for 

 Runs 4 and 6, respectively. Figure 16 presents 5 spectra while Figure 17 presents 2 

 spectra, each corresponding to different relative headings. Spectra for Runs 3 and 5 

 were deleted because the amount of energy associated with frequencies below the 

 lower cut-off value (.03 cycles per second) of the wave analyzer made the determina- 

 tion of parameters extremely doubtful . In fact, the excessive energy produced some 

 spectra which appeared as "white" noise (flat spectrum) from 0.03 to 0.20 cycles per 

 second (5- to 33-second periods). This problem will require further study. 



The two higher peaks in Figure 16, occurring in the first two recordings of Run 4, 

 are associated with periods of 8.3 to 9.0 seconds, corresponding to dominant periods 

 of surface wave motion . Peaks at higher period values are associated with the cross- 

 flow energy induced by the rolling motion of the submarine, which tends to roll at its 

 resonant period. Similar peaks occur in Figure 17, with the peaks centered at lower 

 periods associated with the prevailing lower period wave motion. 



26 



