Geodesic
About a~problem of spacecraft's orbit optimal reorientation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 87-95.

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The problem of optimal reorientation of the spacecraft's orbit is solved with the help of the Pontryagin maximum principle and quaternion equations. Control (thrust vector, orthogonal to the orbital plane) is limited in magnitude. Functional, which determines a quality of control process is weighted sum of time and module (or square) of control. We have formulated a differential boundary problems of reorientation of spacecraft's orbit. We have obtained optimal control laws, built the transversality conditions, not containing Lagrange multipliers. Examples of numerical solution of the problem are given. 
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I. A. Pankratov; Ya. G. Sapunkov; Yu. N. Chelnokov. About a~problem of spacecraft's orbit optimal reorientation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 87-95. http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a13/

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