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Question: How do I setup solve to find only the real and imaginary part of Zeta to be both positive and the real part of Zeta to be the smallest positive value?

Question:How do I setup solve to find only the real and imaginary part of Zeta to be both positive and the real part of Zeta to be the smallest positive value?

Gillee 232 Maple 2021
solve
June 14 2021
2

restart:
with(plots):
kernelopts(version);
 

How do I setup solve to find only the real and imaginary part of Zeta to be both positive and the real part of Zeta to be the smallest positive value? For example: real part = 1.348412872 and imaginary part = 0.04230725448.

Acceleration ratio (db) and phase (deg). Convert ratio to linear and phase to radian. 
dat := <14.52407334|-162.1310124>:
A := 10^(dat[1]/20.):
phi := dat[2]*Pi/180.:
R:= 0.3036:
Characteristic equation Eqn 5
f := (Zeta,A,phi) -> cos(Zeta) - R * Zeta * sin(Zeta) - exp(-phi * I)/A:

soln := [solve(f(Zeta,A,phi), Zeta)]:
 

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