Design of the stabilizing control of the orbital motion in the vicinity of the collinear libration point L1 using the analytical representation of the invariant manifold

G. P. Maliavkin, A. S. Shmyrov, V. A. Shmyrov

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

Выдержка

Vicinities of collinear libration points of the Sun-Earth system are currently quite attractive for the space navigation. Today, various projects on placing of spacecrafts observing the Sun in the L1 libration point and telescopes in L2 have been implemented (e.g. spacecrafts "WIND", "SOHO", "Herschel", "Planck"). Collinear libration points being unstable leads to the problem of stabilization of a spacecraft's motion. Laws of stabilizing motion control in vicinity of L1 point can be constructed using the analytical representation of a stable invariant manifold. Efficiency of these control laws depends on the precision of the representation. Within the model of Hill's approximation of the circular restricted three-body problem in the rotating geocentric coordinate system one can obtain the analytical representation of an invariant manifold filled with bounded trajectories in a form of series in terms of powers of the phase variables. Approximate representations of the orders from the first to the fourth inclusive can be used to construct four laws of stabilizing feedback motion control under which trajectories approach the manifold. By virtue of numerical simulation the comparison can be made: how the precision of the representation of the invariant manifold influences the efficiency of the control, expressed by energy consumptions (characteristic velocity). It shows that using approximations of higher orders in constructing the control laws can significantly reduce the energy consumptions on implementing the control compared to the linear approximation.

Язык оригиналаанглийский
Название основной публикации8th Polyakhov's Reading
Подзаголовок основной публикацииProceedings of the International Scientific Conference on Mechanics
РедакторыElena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina
ИздательAmerican Institute of Physics
Том1959
ISBN (электронное издание)9780735416604
DOI
СостояниеОпубликовано - 2 мая 2018
СобытиеВосьмые Поляховские чтения: международная научная конференция по механике - Старый Петергоф, Saint Petersburg, Российская Федерация
Продолжительность: 29 янв 20182 фев 2018
Номер конференции: 8
https://events.spbu.ru/events/polyakhov_readings
http://nanomat.spbu.ru/en/node/175
http://nanomat.spbu.ru/ru/node/192
http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya

Конференция

КонференцияВосьмые Поляховские чтения
СтранаРоссийская Федерация
ГородSaint Petersburg
Период29/01/182/02/18
Адрес в сети Интернет

Отпечаток

libration
orbits
energy consumption
geocentric coordinates
spacecraft
sun
space navigation
spacecraft motion
approximation
trajectories
three body problem
stabilization
telescopes
simulation

Предметные области Scopus

  • Физика и астрономия (все)

Цитировать

Maliavkin, G. P., Shmyrov, A. S., & Shmyrov, V. A. (2018). Design of the stabilizing control of the orbital motion in the vicinity of the collinear libration point L1 using the analytical representation of the invariant manifold. В E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Ред.), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics (Том 1959). [040010] American Institute of Physics. https://doi.org/10.1063/1.5034613
Maliavkin, G. P. ; Shmyrov, A. S. ; Shmyrov, V. A. / Design of the stabilizing control of the orbital motion in the vicinity of the collinear libration point L1 using the analytical representation of the invariant manifold. 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. редактор / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. Том 1959 American Institute of Physics, 2018.
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Maliavkin, GP, Shmyrov, AS & Shmyrov, VA 2018, Design of the stabilizing control of the orbital motion in the vicinity of the collinear libration point L1 using the analytical representation of the invariant manifold. в EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (ред.), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. том. 1959, 040010, American Institute of Physics, Восьмые Поляховские чтения, Saint Petersburg, Российская Федерация, 29/01/18. https://doi.org/10.1063/1.5034613

Design of the stabilizing control of the orbital motion in the vicinity of the collinear libration point L1 using the analytical representation of the invariant manifold. / Maliavkin, G. P.; Shmyrov, A. S.; Shmyrov, V. A.

8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. ред. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. Том 1959 American Institute of Physics, 2018. 040010.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

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BT - 8th Polyakhov's Reading

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Maliavkin GP, Shmyrov AS, Shmyrov VA. Design of the stabilizing control of the orbital motion in the vicinity of the collinear libration point L1 using the analytical representation of the invariant manifold. В Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, редакторы, 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. Том 1959. American Institute of Physics. 2018. 040010 https://doi.org/10.1063/1.5034613