guidance, flight mechanics and trajectory optimization

where v 'is determined from
and with the boundary condition.
af aR
-t-z 0 (2.4.29)
-. v du
R%p $ff
To illustrate this equivalence, consider
treated in Section 2.2.2.1 where
In this case, Eqs. (2.4.28) and (2.4.29) become
)=O (2.4.30)
the shortest distance problem
chz, jc , y” = w (2.4.31)
By straight-forward that the function
satisfying these equations and the boundary condition of (2.4.30) is given
by
with
At the initial point
while at the succeeding point along the solution,
(2.4.32)
(2.4.34)
In a similar fashion, it can be shown that for each succeeding point along
the optimal solution emanating from (w,, %a>
fc’(z) = p.. )
68