Geodesic
On an optimal orbit transfer in a normal gravitational field
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 142-152

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We consider an optimal control problem for a nonlinear dynamic system describing the motion of a special-purpose spacecraft in a normal gravitational field. The spacecraft is designed for transporting a payload from a near-Earth elliptic orbit to a higher target orbit. The required control must satisfy a number of constraints and provide the transfer of a maximum-weight payload to a given target orbit under some requirements on the current phase state of the system. We propose approaches to the solution of this problem and present results of numerical simulation.
Mots-clés : orbit transfer
Keywords: optimal control, finite thrust, payload, state constraints. 
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     author = {I. N. Kandoba and I. V. Koz'min and V. B. Kostousov and E. K. Kostousova and A. B. Lozhnikov and V. I. Pochinskii},
     title = {On an optimal orbit transfer in a normal gravitational field},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {142--152},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a15/}
}
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I. N. Kandoba; I. V. Koz'min; V. B. Kostousov; E. K. Kostousova; A. B. Lozhnikov; V. I. Pochinskii. On an optimal orbit transfer in a normal gravitational field. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 142-152. http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a15/