(7.75)

$\frac{{m}_{p,1}}{{m}_{0}^{I}}={k}_{p,1}\mathrm{\Delta}{t}_{1}=0.002889{s}^{-1}\mathrm{\Delta}{t}_{1}$ (7.76)

(7.76)

The velocity histories for different values of *γ*_{avg} are shown in Figure 7.22 illustrating the effects of gravity as given by sin *γ*_{avg}. The time necessary to reach *V*_{E}=7.909 km/s for sin *γ*_{avg}=0, 0.5, and 1.0 is 287 s, 306 s, and 316 s, respectively. The two extremes are only 29 s apart and because neither is completely accurate we assume that the middle value, sin *γ*_{avg}=0.5, may be selected as a reasonable estimate for the gravitational effect. The numerical solution also shown in Figure 7.22 ...

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