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Implicit Formulations of Bounded-Impulse Trajectory Models for Preliminary Interplanetary Low-Thrust AnalysisThe bounded-impulse approach to low-thrust interplanetary trajectory optimization is widely used. In an effort to efficiently implement this approach using NASA’s OpenMDAO optimization software, the authors have implemented implicit formulations of the forward shooting/backwards-shooting methods commonly used in bounded-impulse models. These implicit approaches allow for vectorization of the underlying calculations which can significantly reduce runtime in interpreted languages. An implicit approach may be either converged by using an underlying nonlinear solver to converge the state propagation, or as a constraint in an optimizer-driven multiple-shooting approach. Significant computational efficiency gains are realized through the utilization of the modular approach to unified derivatives. Further computational efficiency is achieved by capitalizing on the sparsity of the constraint Jacobian matrix. This work demonstrates that a vectorized multiple-shooting approach for propagating a state-time history is superior in terms of computational efficiency as the number of segments in the state-propagation is increased.
Document ID
Acquisition Source
Glenn Research Center
Document Type
Conference Paper
External Source(s)
Falck, Robert D
(NASA Glenn Research Center Cleveland, OH, United States)
McCarty, Steven L.
(NASA Glenn Research Center Cleveland, OH, United States)
Pekosh, Jeffrey
(NASA Glenn Research Center Cleveland, OH, United States)
Ponnapalli, Kaushik
(Vantage Partners, LLC Brook Park, OH, United States)
Date Acquired
January 13, 2020
Publication Date
January 6, 2020
Publication Information
Publisher: American Institute of Aeronautics and Astronautics
e-ISBN: 978-1-62410-595-1
Subject Category
Numerical Analysis
Report/Patent Number
AIAA 2020-2185
Meeting Information
Meeting: AIAA Scitech 2020 Forum
Location: Orlando, FL
Country: United States
Start Date: January 6, 2020
End Date: January 10, 2020
Sponsors: American Institute of Aeronautics and Astronautics (AIAA)
Funding Number(s)
WBS: 109492.
Distribution Limits
Public Use Permitted.
Technical Review
Single Expert
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