Homotopy method for minimum consumption orbit transfer problem
ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 2, pp. 294-310.

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.

DOI : https://doi.org/10.1051/cocv:2006003
Classification : 49M05,  65H20,  70Q05
Mots clés : orbital transfer, optimal control problem, shooting method, differential homotopy, predictor-corrector method
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     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},
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     year = {2006},
     doi = {10.1051/cocv:2006003},
     zbl = {1113.49032},
     mrnumber = {2209355},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/cocv:2006003/}
}
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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. http://www.numdam.org/articles/10.1051/cocv:2006003/

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