On stability of motion of satellite
In this paper we consider the translational and rotational motion of satellites around the Earth. First, we study the motion of an arrow-type satellite. We consider the system of equations of motion in the first approximation. We consider the linear Hamiltonian systems of differential equations. The...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/97/e3sconf_bft2023_09024.pdf |
| _version_ | 1797345163299782656 |
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| author | Titova Tatiana |
| author_facet | Titova Tatiana |
| author_sort | Titova Tatiana |
| collection | DOAJ |
| description | In this paper we consider the translational and rotational motion of satellites around the Earth. First, we study the motion of an arrow-type satellite. We consider the system of equations of motion in the first approximation. We consider the linear Hamiltonian systems of differential equations. The Hamiltonian systems arise in transportation problems. We consider the normalization of Hamiltonian matrix. We solve the system of matrix equations to find the generating function of the canonical transformation. We obtain stability criterion in several cases. Further, we study the motion of a spoke-type satellite. We consider eigenvalues of characteristic equation corresponding to the motion equations. We get the normal form of the Hamiltonian matrix. We obtain the stability criterion. |
| first_indexed | 2024-03-08T11:13:32Z |
| format | Article |
| id | doaj.art-85ac96f08ef648efb84eb4db1c104e3c |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-08T11:13:32Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-85ac96f08ef648efb84eb4db1c104e3c2024-01-26T10:38:40ZengEDP SciencesE3S Web of Conferences2267-12422023-01-014600902410.1051/e3sconf/202346009024e3sconf_bft2023_09024On stability of motion of satelliteTitova Tatiana0Moscow State University of Civil EngineeringIn this paper we consider the translational and rotational motion of satellites around the Earth. First, we study the motion of an arrow-type satellite. We consider the system of equations of motion in the first approximation. We consider the linear Hamiltonian systems of differential equations. The Hamiltonian systems arise in transportation problems. We consider the normalization of Hamiltonian matrix. We solve the system of matrix equations to find the generating function of the canonical transformation. We obtain stability criterion in several cases. Further, we study the motion of a spoke-type satellite. We consider eigenvalues of characteristic equation corresponding to the motion equations. We get the normal form of the Hamiltonian matrix. We obtain the stability criterion.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/97/e3sconf_bft2023_09024.pdf |
| spellingShingle | Titova Tatiana On stability of motion of satellite E3S Web of Conferences |
| title | On stability of motion of satellite |
| title_full | On stability of motion of satellite |
| title_fullStr | On stability of motion of satellite |
| title_full_unstemmed | On stability of motion of satellite |
| title_short | On stability of motion of satellite |
| title_sort | on stability of motion of satellite |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/97/e3sconf_bft2023_09024.pdf |
| work_keys_str_mv | AT titovatatiana onstabilityofmotionofsatellite |