The problem of satellite attitude stabilization in the geomagnetic field
A satellite moving along a circular Keplerian orbit in near-Earth space was explored, focusing on its attitude stabilization in the orbital coordinate system using the intrinsic magnetic and Lorentz force moments. Fluctuations in geomagnetic induction that occur as the satellite orbits cause the coe...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Kazan Federal University
2024-12-01
|
| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://uzakufismat.elpub.ru/jour/article/view/128 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849316362474749952 |
|---|---|
| author | V. I. Kalenova V. M. Morozov A. A. Tikhonov |
| author_facet | V. I. Kalenova V. M. Morozov A. A. Tikhonov |
| author_sort | V. I. Kalenova |
| collection | DOAJ |
| description | A satellite moving along a circular Keplerian orbit in near-Earth space was explored, focusing on its attitude stabilization in the orbital coordinate system using the intrinsic magnetic and Lorentz force moments. Fluctuations in geomagnetic induction that occur as the satellite orbits cause the coefficients in the dynamical equations governing the satellite’s attitude motion to vary over time. The results show that, although the linearized system of differential equations of the satellite’s motion is non-stationary, it can be reduced to a stationary system of higher order, which holds even for high-precision multipole models of the geomagnetic field. Thus, a control law design was proposed to stabilize the satellite. The controllability of the system was analyzed, and an optimal stabilization algorithm based on the LQR method was developed. The effectiveness of the proposed approach was validated by computer modeling. |
| format | Article |
| id | doaj-art-8cd73cdf71cc46c49e481fc191b59a53 |
| institution | Kabale University |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-8cd73cdf71cc46c49e481fc191b59a532025-08-20T03:51:48ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982024-12-01166449951710.26907/2541-7746.2024.4.499-51764The problem of satellite attitude stabilization in the geomagnetic fieldV. I. Kalenova0V. M. Morozov1A. A. Tikhonov2Moscow State UniversityMoscow State UniversitySt. Petersburg State UniversityA satellite moving along a circular Keplerian orbit in near-Earth space was explored, focusing on its attitude stabilization in the orbital coordinate system using the intrinsic magnetic and Lorentz force moments. Fluctuations in geomagnetic induction that occur as the satellite orbits cause the coefficients in the dynamical equations governing the satellite’s attitude motion to vary over time. The results show that, although the linearized system of differential equations of the satellite’s motion is non-stationary, it can be reduced to a stationary system of higher order, which holds even for high-precision multipole models of the geomagnetic field. Thus, a control law design was proposed to stabilize the satellite. The controllability of the system was analyzed, and an optimal stabilization algorithm based on the LQR method was developed. The effectiveness of the proposed approach was validated by computer modeling.https://uzakufismat.elpub.ru/jour/article/view/128satellitesatellite attitude stabilizationgeomagnetic fieldcontrollabilityoptimal control |
| spellingShingle | V. I. Kalenova V. M. Morozov A. A. Tikhonov The problem of satellite attitude stabilization in the geomagnetic field Учёные записки Казанского университета: Серия Физико-математические науки satellite satellite attitude stabilization geomagnetic field controllability optimal control |
| title | The problem of satellite attitude stabilization in the geomagnetic field |
| title_full | The problem of satellite attitude stabilization in the geomagnetic field |
| title_fullStr | The problem of satellite attitude stabilization in the geomagnetic field |
| title_full_unstemmed | The problem of satellite attitude stabilization in the geomagnetic field |
| title_short | The problem of satellite attitude stabilization in the geomagnetic field |
| title_sort | problem of satellite attitude stabilization in the geomagnetic field |
| topic | satellite satellite attitude stabilization geomagnetic field controllability optimal control |
| url | https://uzakufismat.elpub.ru/jour/article/view/128 |
| work_keys_str_mv | AT vikalenova theproblemofsatelliteattitudestabilizationinthegeomagneticfield AT vmmorozov theproblemofsatelliteattitudestabilizationinthegeomagneticfield AT aatikhonov theproblemofsatelliteattitudestabilizationinthegeomagneticfield AT vikalenova problemofsatelliteattitudestabilizationinthegeomagneticfield AT vmmorozov problemofsatelliteattitudestabilizationinthegeomagneticfield AT aatikhonov problemofsatelliteattitudestabilizationinthegeomagneticfield |