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Optimal trajectories for aeroassisted orbital transferConsideration is given to classical and minimax problems involved in aeroassisted transfer from high earth orbit (HEO) to low earth orbit (LEO). The transfer is restricted to coplanar operation, with trajectory control effected by means of lift modulation. The performance of the maneuver is indexed to the energy expenditure or, alternatively, the time integral of the heating rate. Firist-order optimality conditions are defined for the classical approach, as are a sequential gradient-restoration algorithm and a combined gradient-restoration algorithm. Minimization techniques are presented for the aeroassisted transfer energy consumption and time-delay integral of the heating rate, as well as minimization of the pressure. It is shown that the eigenvalues of the Jacobian matrix of the differential system is both stiff and unstable, implying that the sequential gradient restoration algorithm in its present version is unsuitable. A new method, involving a multipoint approach to the two-poing boundary value problem, is recommended.
Document ID
19840029004
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Miele, A.
(Rice University Houston, TX, United States)
Venkataraman, P.
(Rice Univ. Houston, TX, United States)
Date Acquired
August 12, 2013
Publication Date
October 1, 1983
Subject Category
Astrodynamics
Report/Patent Number
IAF PAPER 83-331
Accession Number
84A11791
Funding Number(s)
CONTRACT_GRANT: JPL-956415
Distribution Limits
Public
Copyright
Other

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