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Six-Degree-of-Freedom Trajectory Optimization Utilizing a Two-Timescale Collocation ArchitectureSix-degree-of-freedom (6DOF) trajectory optimization of a reentry vehicle is solved using a two-timescale collocation methodology. This class of 6DOF trajectory problems are characterized by two distinct timescales in their governing equations, where a subset of the states have high-frequency dynamics (the rotational equations of motion) while the remaining states (the translational equations of motion) vary comparatively slowly. With conventional collocation methods, the 6DOF problem size becomes extraordinarily large and difficult to solve. Utilizing the two-timescale collocation architecture, the problem size is reduced significantly. The converged solution shows a realistic landing profile and captures the appropriate high-frequency rotational dynamics. A large reduction in the overall problem size (by 55%) is attained with the two-timescale architecture as compared to the conventional single-timescale collocation method. Consequently, optimum 6DOF trajectory problems can now be solved efficiently using collocation, which was not previously possible for a system with two distinct timescales in the governing states.
Document ID
20050232786
Acquisition Source
Langley Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Desai, Prasun N.
(NASA Langley Research Center Hampton, VA, United States)
Conway, Bruce A.
(Illinois Univ. Urbana, IL, United States)
Date Acquired
August 23, 2013
Publication Date
January 1, 2005
Subject Category
Astronautics (General)
Report/Patent Number
AAS Paper 05-376
Meeting Information
Meeting: 2005 AAS/AIAA Astrodynamics Specialists Conference
Location: Lake Tahoe, CA
Country: United States
Start Date: August 7, 2005
End Date: August 11, 2005
Sponsors: American Inst. of Aeronautics and Astronautics, American Astronautical Society
Funding Number(s)
OTHER: 23-624-09-01
Distribution Limits
Public
Copyright
Public Use Permitted.
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