Wilson’s essential trick is to iterate on this relation, which is supposed to
converge rapidly [9, 60], assuming that for KR near KC , we take
Ke/2 ≈ Kc + (K - Ke)Rzf (R)y.
(13)
We next proceed in two steps, first solving this for f(R) in terms of known
values, and then solving for R, finding a value Rc which we then substitute
into the first of equations (3) to obtain an expression for H [K, 0] in terms of
known functions and parameter values.
The first step gives the general result
f(Rc)
[(KC∕(KC - K))]1/y
21/y RC/y
c
(14)
Solving this for Rc and substituting into the first of equation(3) gives
H [K, 0]≈ HK^
f(Rc)
Ho
f (Re)
χ(K, 0) ≈ χ(Ke/2,0)Re = χoRe
(15)
26
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