Controlling the orbital motion of the spacecraft near the libration point by changing the solar sail reflectivity
DOI:
https://doi.org/10.21638/spbu10.2024.214Abstract
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:
libration point, solar sail, control, keeping, three-body problem, 3-body problem, machine learning
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Поляхова Е. Н. Космический полет с солнечным парусом. М.: Книжный дом «ЛИБРОКОМ», 2011. 320 с.
McInnes C. R. Solar sailing // Technology, dynamics and mission applications. Berlin; London: Springer, 1999. 296 p. (Springer-Praxis Series in Space Science and Technology)
Лукьянов С. С. Управление движением космического аппарата в окрестности коллинеарной точки либрации круговой задачи трех тел с помощью сил светового давления // Космические исследования. 1981. Т. 19. № 4. С. 518–527.
Назиров Р. Р., Эйсмонт Н. А., Чумаченко Е. Н., Данхэм Д. У., Логашина И. В., Федоренко А. Н. Управление группировкой космических аппаратов в окрестности солнечно-земных коллинеарных точек либрации с помощью солнечного паруса // Вестник машиностроения. 2013. № 2. С. 43–46.
Bookless J., McInnes C. Control of Lagrange point orbits using solar sail propulsion // Acta Astronautica. 2008. Vol. 62. P. 159–176.
Shymanchuk D. V., Shmyrov A. S., Shmyrov V. A. Controlled motion of a solar sail in the vicinity of a collinear libration point // Astronomy Letters. 2020. Vol. 46. N 3. P. 185–192.
Shymanchuk D. V., Shmyrov A. S., Shmyrov V. A. Orbital maneuvering in the vicinity of collinear libration points using light pressure forces // Astronomy Letters. 2021. Vol. 47. N 10. P. 710–719.
Shymanchuk D. V., Shmyrov A. S., Shmyrov V. A. Stabilization of the orbital motion of a solar sail in the vicinity of a collinear libration point through a change in reflectivity // Astronomy Letters. 2022. Vol. 48. N 8. P. 469–477.
Маркеев А. П. Точки либрации в небесной механике и космодинамике. М.: Наука, 1978. 312 с.
Gomez G., Llibre J., Martinez R., Simo C. Dynamics and mission design near libration points. Vol. 1. Fundamentals: The case of collinear libration points. Singapore: World Scientific, 2001. 462 p.
Шмыров В. А. Стабилизация управляемого орбитального движения космического аппарата в окрестности коллинеарной точки либрации L1 // Вестник Санкт-Петербургского университета. Прикладная математика. Информатика. Процессы управления. Сер. 10. 2005. Вып. 1–2. С. 192–198.
Hill G. W. Researches in the lunar theory // American Journal of Mathematics. 1878. Vol. 1. P. 5–26.
Shmyrov A. S., Shmyrov V. A. On controllability region of orbital motion near L1 // Applied Mathematical Sciences. 2015. Vol. 9. P. 7229–-7236.
References
Polyakhova E. N. Kosmicheskiy polet s solnechnym parusom [Space flight with solar sail]. Moscow, Book House “LIBROKOM” Publ., 2011, 320 p. (In Russian)
McInnes C. R. Solar sailing Technology, dynamics and mission applications. Berlin, London, Springer, 1999, 296 p. (Springer-Praxis Series in Space Science and Technology)
Lukyanov S. S. Upravleniye dvizheniyem kosmicheskogo apparata v okrestnosti kollinearnoy tochki libratsii krugovoy zadachi trekh tel s pomoshch'yu sil svetovogo davleniya [Control of the motion of a spacecraft in the vicinity of the collinear libration point of a circular three-body problem using light pressure forces]. Space Research, 1981, vol. 19, no. 4, pp. 518–527. (In Russian)
Nazirov R. R., Eismont N. A., Chumachenko E. N., Danhem D. U., Logashina I. V., Fedorenko A. N. Upravleniye gruppirovkoy kosmicheskikh apparatov v okrestnosti solnechno-zemnykh kollinearnykh tochek libratsii s pomoshch'yu solnechnogo parusa [Control of a grouping of spacecraft in the vicinity of the solar-terrestrial collinear libration points using a solar sail]. Vestnik of Mechanical Engineering, 2013, no. 2, pp. 43–46. (In Russian)
Bookless J., McInnes C. Control of Lagrange point orbits using solar sail propulsion. Acta Astronautica, 2008, vol. 62, pp. 159–176.
Shymanchuk D. V., Shmyrov A. S., Shmyrov V. A. Controlled motion of a solar sail in the vicinity of a collinear libration point. Astronomy Letters, 2020, vol. 46, no. 3, pp. 185–192.
Shymanchuk D. V., Shmyrov A. S., Shmyrov V. A. Orbital maneuvering in the vicinity of collinear libration points using light pressure forces. Astronomy Letters, 2021, vol. 47, no. 10, pp. 710–719.
Shymanchuk D. V., Shmyrov A. S., Shmyrov V. A. Stabilization of the orbital motion of a solar sail in the vicinity of a collinear libration point through a change in reflectivity. Astronomy Letters, 2022, vol. 48, no. 8, pp. 469–-477.
Markeev A. P. Tochki libratsii v nebesnoy mekhanike i kosmodinamike [The libration points in celestial mechanics and space dynamics]. Moscow, Nauka Publ., 1978, 312 p. (In Russian)
Gomez G., Llibre J., Martinez R., Simo C. Dynamics and mission design near libration points. Vol. 1. Fundamentals: The case of collinear libration points. Singapore, World Scientific, 2001, 462 p.
Shmyrov V. A. Stabilizatsiya upravlyayemogo orbital'nogo dvizheniya kosmicheskogo apparata v okrestnosti kollinearnoy tochki libratsii L1 [Stabilization of the controlled orbital motion of a spacecraft in the vicinity of the collinear libration point L1]. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes. Series 10, 2005, iss. 1–2, pp. 192–198. (In Russian)
Hill G. W. Researches in the lunar theory. American Journal of Mathematics, 1878, vol. 1, pp. 5–26.
Shmyrov A. S., Shmyrov V. A. On controllability region of orbital motion near L1. Applied Mathematical Sciences, 2015, vol. 9, pp. 7229–-7236.
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