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min time:
\newcommand{\Bold}[1]{\mathbf{#1}}t = -\frac{{(v_{x_{1}} x_{b_{1}} + v_{y_{1}} y_{b_{1}} + v_{z_{1}} z_{b_{1}})}}{{(v_{x_{1}}^{2} + v_{y_{1}}^{2} + v_{z_{1}}^{2})}}
entry and exit times:
t == (dvx*dx + dvy*dy - sqrt(-dvx^2*dy^2 + 2*dvx*dvy*dx*dy - dvy^2*dx^2 + (dvx^2 + dvy^2)*h_nmac))/(dvx^2 + dvy^2)
t == (dvx*dx + dvy*dy + sqrt(-dvx^2*dy^2 + 2*dvx*dvy*dx*dy - dvy^2*dx^2 + (dvx^2 + dvy^2)*h_nmac))/(dvx^2 + dvy^2)
entry and exit times:
10000*(sqrt(2)*t + 2*t - 100*sqrt(2) - 200)^2 + 200000000 == 2250000