### Table 1. Concentration of the turbulence at granular borders, CR, and its diffusion into the intergranular space AC. The seven spectrograms were taken at three different times (t= 1 min, 5.5 min , and 12 min after the start of spectrum 94.A4)

"... In PAGE 4: ...preading-out coefficient AC (see Sect. 2.2). Table1 shows the result of this calculation: the 7 columns each showing CR and AC, correspond to the 7 best spectrograms 94.... In PAGE 4: ... 1. Figure 3 shows the mean values of CR and AC averaged over all seven spectrograms in Table1 , and the associated standard deviations. In the upper panel we see the variation of the mean... In PAGE 6: ... 2 the turbulence is concentrated at the granu- lar border and is mostly associated with large velocity gradients and thus with the granular shear flow. Table1 shows the turbu- lent concentration CR and the spreading-out of the turbulence AC as functions of time (7 columns) and height in the photo- sphere (6 rows). A critical inspection of Tab.... ..."

### Table 1: Turbulent energy density as a fraction of the magnetic energy density needed for acceleration of 10% of the background electrons. to the acceleration within a second in plasmas with density n = 109cm?3 and uniform magnetic elds of 100 and 1000 Gs, respectively. Another factor which a ects fturb is the shape of its spectrum. For a power law distribution (as assumed in PP1) this depends on the index q and the value of kmin. Using the results from PP1 we show the required values of the turbulence with krel min lt; k lt; kth min apos; 1 for several plasma parameters in Table 2. For each energy we use the correspondent value of krel min, the minimum wave number of the waves which are in resonance with the relativistic electron. E, MeV

"... In PAGE 10: ... Using the results presented in Figure 13 we calculate the value for the level of turbulence with k kth min, needed for acceleration of 10% of thermal electrons. Table1 summarizes these results. The amount of turbulence required for further acceleration to higher energies depends on several factors.... In PAGE 11: ... This suggests that the turbulent spectrum could atten at lower k values having a smaller value of spectral index q. Assuming that one half of the turbulent energy is due to the waves with high wave numbers we can give the very conservative estimation of the total level of the plasma turbulence ftot turb by doubling the numbers given in Table1 . The very steep behavior of the curves on Figure 13 suggests that a small increase in the turbulence level will lead to a signi cant increase in the fraction of... ..."

### Table 4. Spectral indices of the optically thin centimetric-millimetric spectrum expected from the HXR/GR photon spectrum measured during the di erent peaks (see text for the de nition of the symbols)

"... In PAGE 11: ...elds in the range 200-1000 G, i.e. for typical magnetic eld strengths quoted in the literature. Table4 gives the values of aprec, aturb and atrap com- puted for each HXR/GR peak by using 1 and 2, the slopes of the photon spectrum for h lt; Eb and h gt; Eb respectively (see Table 2). The measured slope of the centimetric-millimetric spectrum, given in Sect.... In PAGE 11: ... -1.5 during peak a and a1 -1.5 during peaks b, c, d and e. The comparison of these observed values with those quoted in Table4 appeals the following comments: - For most of the event (peaks c, d, e) the centimetric- millimetric emitting electrons must be related to those emitting the HXR/GR emission above Eb. The values of the centimetric-millimetric indices expected from the turbulent trapping or free propagation models agree reasonably well with the observed ones.... ..."

### Table 4. Dissipation Rate and Turbulence Categories during Turbulence Runs .

"... In PAGE 8: ...bserved for wavenumbers between 0.003 and 0.3 (wing- tip boom sensors). Table4 summarizes the range of dis- sipation rates for these wavenumbers computed for the turbulence runs of each of the six flights. The dissipation categories as described by MacCready [7] are included in Table 4 to characterize ambient atmospheric turbu- lence.... In PAGE 8: ... Table 4 summarizes the range of dis- sipation rates for these wavenumbers computed for the turbulence runs of each of the six flights. The dissipation categories as described by MacCready [7] are included in Table4 to characterize ambient atmospheric turbu- lence. Using these categories, the ambient turbulence levels encountered in the tests varied between moder- ate and negligible .... In PAGE 10: ... During Flight 705, short rectilinear flight segments were included to allow sufficient data sets for characterization of possible local ambient turbulence levels. The very low level of turbulence in this flight (see Table4 ), however, may preclude detection of quantifiable differences in ambient turbulence levels during an encounter run. Figure 14.... ..."

### Table 4. Dissipation Rate and Turbulence Categories during Turbulence Runs .

"... In PAGE 8: ...bserved for wavenumbers between 0.003 and 0.3 (wing- tip boom sensors). Table4 summarizes the range of dis- sipation rates for these wavenumbers computed for the turbulence runs of each of the six flights. The dissipation categories as described by MacCready [7] are included in Table 4 to characterize ambient atmospheric turbu- lence.... In PAGE 8: ... Table 4 summarizes the range of dis- sipation rates for these wavenumbers computed for the turbulence runs of each of the six flights. The dissipation categories as described by MacCready [7] are included in Table4 to characterize ambient atmospheric turbu- lence. Using these categories, the ambient turbulence levels encountered in the tests varied between moder- ate and negligible .... In PAGE 10: ... During Flight 705, short rectilinear flight segments were included to allow sufficient data sets for characterization of possible local ambient turbulence levels. The very low level of turbulence in this flight (see Table4 ), however, may preclude detection of quantifiable differences in ambient turbulence levels during an encounter run. Figure 14.... ..."

### TABLE 4 ROTATIONAL AND TURBULENT VELOCITIES

### Table 2. Pilot ratings

"... In PAGE 11: ... For each configuration the statistical mean for all flights is shown surrounded by the standard deviation. Table2 shows the HQRs reported by the NASA research pilots. The HQRs for all configurations indicate that the CALAHF system required moderate to considerable pilot compensation.... ..."

### TABLE 5 Stellar Parameters and Uncertainties

2001