$5-17.$ Plans are being made for a sunny$-$side flyby of Venus with an approach distance of $10,000$nmi and V i $=38,000$ m$/$s $.($a$)$ Find the change in the heliocentric velocity after the flyby with $\backslash$beta i $=0.($b$)$ Describe and sketch the modified trajectory after the flyby$.($c$)$ Do part $($a$)$ with $\backslash$beta i $=10.5-18.$ Do Problem $5-17$ for a shady$-$side flyby of Venus and point out any differences in the modified trajectories. $5-17.$ Plans are being made for a sunny$-$side flyby of Venus with an approach distance of $10,000$ nmi and V$\_$i$=38,000$m $/$ s$.($a$)$ Find the change in the heliocentric velocity after the flyby with $\backslash$beta $\_$i$=0^.($b$)$ Describe and sketch the modified trajectory after the flyby$.($c$)$ Do part $($a$)$ with $\backslash$beta $\_$i$=10^.5-18.$ Do Problem $5-17$ for a shady$-$side flyby of Venus and point out any differences in the modified trajectories.