Title page for ETD etd-07072010-020410
|Type of Document
||Kumar, Renjith R.
||Singular optimal atmospheric rocket trajectories
||Master of Science
|Kelley, Henry J.
|Cliff, Eugene M.
|Lutze, Frederick H. Jr.
|Date of Defense
Singular subarcs arise in quite a few problems of flight dynamics. The present
study is devoted to the specific problem of ascent and acceleration of a vehicle in
atmospheric flight in which a variable-thrust arc forms a part of the optimal
trajectory. A two-parameter family of singular arcs was generated for
time-range-fuel problems of an ascending rocket, using the modelling of Zlatskiy
and Kiforenko. The short-term optimality of the singular subarcs has been
checked in terms of certain necessary conditions: the classical Clebsch condition,
the Kelley condition or the Generalized Legendre-Clebsch condition and the Goh
condition. All these are found to be satisfied computationally for all the
candidates. The calculations were repeated for simplified thrust-along-the-path
modelling and similar results on optimality obtained.
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