image (7.75)

mp,1m0I=kp,1Δt1=0.002889s1Δt1 (7.76)

image (7.76)

The velocity histories for different values of γavg are shown in Figure 7.22 illustrating the effects of gravity as given by sin γavg. The time necessary to reach VE=7.909 km/s for sin γavg=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 γavg=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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