Hc20mcu po J

The maximum value of the particle momentum will be obtained at l = 0 using the denominations described by Eq. 4.16.4:

where the last expression contains an error smaller than 0.5% at «1 < 1. In this case

1 < ^[1 - 5Po + 01(0.9 -10Po )J/0.95 < 1.3 and, within a sufficient accuracy,

4Po V n

Considering that Ek max = macc2 (1 + «2 - 1),where

we obtain that, if «2 >> 1, the ultra-relativistic energies may be attained and, in this case,

If, however, «2 << 1 only non-relativistic energies may be achieved, and in this case Ekmax will be determined by Eq. 4.16.17. If «2 >> 1 (po >> 2macu), the Eq. 4.16.17 can be directly applied and in which pr = po; lr = lo should be set.

The conditions under which u ~ 3 x 10 cm/sec, lo ~ 10 ^ 10 cm, H ~ 10 Gs may probably be realized in solar flares. From this, according Eq. 4.16.21, we shall

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