Geodesic
Controlling the orbital motion of the spacecraft near the libration point by changing the solar sail reflectivity
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 2, pp. 298-306

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The article considers the strategy of keeping the spacecraft in the vicinity of the unstable Lagrange point (libration point) of the Sun — Earth system. This strategy involves the use of special management. This control acts collinearly to the Sun — Earth line and ensures Lyapunov stability of the orbital motion. The implementation of such control is proposed using a solar sail. The advantages and difficulties of such a strategy are discussed.
Keywords: three bodies problem, libration point, solar sail, control, keeping. 
@article{VSPUI_2024_20_2_a13,
     author = {A. S. Shmyrov and V. A. Shmyrov and D. V. Shymanchuk},
     title = {Controlling the orbital motion of the spacecraft near the libration point by changing the solar sail reflectivity},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {298--306},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2024_20_2_a13/}
}
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A. S. Shmyrov; V. A. Shmyrov; D. V. Shymanchuk. Controlling the orbital motion of the spacecraft near the libration point by changing the solar sail reflectivity. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 2, pp. 298-306. http://geodesic.mathdoc.fr/item/VSPUI_2024_20_2_a13/