For a reentry glider, approximate solutions are found in closed form for the problem of maximizing a function of the terminal velocity, altitude, flight-path angle and heading angle subject to, at most, three terminal nonlinear constraints. The results given here extend the previous results in two important ways: (1) the second-order approximation of the entry dynamics of Loh is used instead of the first-order approximation of Allen and Eggers. This approximation is found to compare extremely well with an exact numerical optimal path. (2) A three-dimensional optimization problem is solved which includes Loh's second-order approximation where the roll angle as well as the lift coefficient are determined subject to constraints which include the terminal heading angle. Furthermore, closed-form solutions can also be obtained subject to in-flight constraints on the lift coefficient and roll angle.
Approximate optimal atmospheric entry trajectories.
1971-11-01
Miscellaneous
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English
Approximate optimal atmospheric entry trajectories
NTRS | 1971
|Approximate optimal atmospheric entry trajectories
AIAA | 1971
|Approximate optimal atmospheric entry trajectories.
AIAA | 1971
|Approximate Optimal Atmospheric Entry Trajectories
NTRS | 1971
|