Title page for ETD etd-07072010-020410

Type of Document Master's Thesis
Author Kumar, Renjith R.
URN etd-07072010-020410
Title Singular optimal atmospheric rocket trajectories
Degree Master of Science
Department Aerospace Engineering
Advisory Committee
Advisor Name Title
Kelley, Henry J. Committee Chair
Cliff, Eugene M. Committee Member
Lutze, Frederick H. Jr. Committee Member
  • Trajectory optimization
Date of Defense 1986-10-05
Availability restricted

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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