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The numerical resolution of the low thrust orbital transfer problem around the Earth with the maximization of the final mass or minimization of the consumption is investigated. This problem is difficult to solve by shooting method because the optimal control is discontinuous and a homotopic method is proposed to deal with these difficulties for which convergence properties are established. For a thrust of 0.1 Newton and a final time 50% greater than the minimum one, we obtain 1786 switching times.
@article{COCV_2006__12_2_294_0,
author = {Gergaud, Joseph and Haberkorn, Thomas},
title = {Homotopy method for minimum consumption orbit transfer problem},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {294--310},
publisher = {EDP-Sciences},
volume = {12},
number = {2},
year = {2006},
doi = {10.1051/cocv:2006003},
mrnumber = {2209355},
zbl = {1113.49032},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2006003/}
}
TY - JOUR AU - Gergaud, Joseph AU - Haberkorn, Thomas TI - Homotopy method for minimum consumption orbit transfer problem JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2006 SP - 294 EP - 310 VL - 12 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2006003/ DO - 10.1051/cocv:2006003 LA - en ID - COCV_2006__12_2_294_0 ER -
%0 Journal Article %A Gergaud, Joseph %A Haberkorn, Thomas %T Homotopy method for minimum consumption orbit transfer problem %J ESAIM: Control, Optimisation and Calculus of Variations %D 2006 %P 294-310 %V 12 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2006003/ %R 10.1051/cocv:2006003 %G en %F COCV_2006__12_2_294_0
Gergaud, Joseph; Haberkorn, Thomas. Homotopy method for minimum consumption orbit transfer problem. ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 2, pp. 294-310. doi: 10.1051/cocv:2006003
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