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 конференциинаучнаярецензирование

Аннотация

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 публикацииEIGHTH 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
Число страниц8
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

Серия публикаций

НазваниеAIP Conference Proceedings
ИздательAMER INST PHYSICS
Том1959
ISSN (печатное издание)0094-243X

конференция

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

Предметные области Scopus

  • Физика и астрономия (все)

Fingerprint Подробные сведения о темах исследования «Design of the stabilizing control of the orbital motion in the vicinity of the collinear libration point L<sub>1</sub> using the analytical representation of the invariant manifold». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать