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
Keywords	Trajectory optimization
Date of Defense	1986-10-05
Availability	restricted
Abstract 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.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access  LD5655.V855_1986.K763.pdf 1.37 Mb 00:06:19 00:03:15 00:02:50 00:01:25 00:00:07 next to an author's name indicates that all files or directories associated with their ETD are accessible from the Virginia Tech campus network only.

If you have questions or technical problems, please Contact DLA.