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Analytical Solution of Euler-Lagrange Equations for Optimum Coast TrajectoriesAn analytical solution of the Euler-Lagrange equations for the Lagrange
multipliers for optimum coast trajectories (minimum fuel consumption)
is obtained. Previous solutions have a singularity at zero eccentricity. The present solution does not have this singularity, but there is a numerical difficulty due to a removable singularity at unit
eccentricity. An approximate solution, accurate near unit eccentricity, is given. This solution reduces to the exact parabolic solution for unit eccentricity.
Document ID
19660025643
Acquisition Source
Marshall Space Flight Center
Document Type
Other - Technical Report
Authors
Chiu H Ng (Boeing (United States) Chicago, United States)
Peter J Palmadesso (Boeing (United States) Chicago, United States)
Date Acquired
August 3, 2013
Publication Date
June 23, 1966
Publication Information
Publication: Twenty-Fourth Seminar on Space Flight Guidance Theory
Publisher: National Aeronautics and Space Administration
Subject Category
Space Sciences (General)
Report/Patent Number
NASA-TM-X-53478
Meeting Information
Meeting: 24th Seminar on Space Flight and Guidance Theory
Location: Huntsville, AL
Country: US
Start Date: June 23, 1966
Sponsors: Marshall Space Flight Center
Accession Number
66N34933
Funding Number(s)
CONTRACT_GRANT: NAS8-11244
Distribution Limits
Public
Copyright
Public Use Permitted.
Keywords
Trajectory optimization
Eurler-Lagrange equation
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IDRelationTitle19660025636Collected WorksProceedings of the Twenty-Fourth Seminar on Space Flight and Guidance TheoryN66-34926 20-30Collected Works
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