Eintrag weiter verarbeiten
Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments
Gespeichert in:
| Zeitschriftentitel: | Advances in Mathematical Physics |
|---|---|
| Personen und Körperschaften: | |
| In: | Advances in Mathematical Physics, 2015, 2015, S. 1-10 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
|
| Schlagwörter: |
| author_facet |
Aslanov, Vladimir Aslanov, Vladimir |
|---|---|
| author |
Aslanov, Vladimir |
| spellingShingle |
Aslanov, Vladimir Advances in Mathematical Physics Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments Applied Mathematics General Physics and Astronomy |
| author_sort |
aslanov, vladimir |
| spelling |
Aslanov, Vladimir 1687-9120 1687-9139 Hindawi Limited Applied Mathematics General Physics and Astronomy http://dx.doi.org/10.1155/2015/323714 <jats:p>The attitude motion is studied of asymmetric dual-spin gyrostats which may be modeled as free systems of two rigid bodies, one asymmetric and one axisymmetric. Exact analytical solutions of the attitude motion are presented for all possible ratios of inertia moments of these bodies. The dynamics of free gyrostats with zero internal torque is considered. The dimensionless nonlinear equations of the gyrostat are written in Serret-Andoyer canonical variables. The previously known exact solutions are complemented by new several solutions in terms of Jacobi elliptic functions. The results of the study can be useful for the analysis of dual-spin spacecraft dynamics.</jats:p> Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments Advances in Mathematical Physics |
| doi_str_mv |
10.1155/2015/323714 |
| facet_avail |
Online Free |
| finc_class_facet |
Mathematik |
| format |
ElectronicArticle |
| fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE1NS8yMDE1LzMyMzcxNA |
| id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE1NS8yMDE1LzMyMzcxNA |
| institution |
DE-D275 DE-Bn3 DE-Brt1 DE-Zwi2 DE-D161 DE-Gla1 DE-Zi4 DE-15 DE-Pl11 DE-Rs1 DE-105 DE-14 DE-Ch1 DE-L229 |
| imprint |
Hindawi Limited, 2015 |
| imprint_str_mv |
Hindawi Limited, 2015 |
| issn |
1687-9139 1687-9120 |
| issn_str_mv |
1687-9139 1687-9120 |
| language |
English |
| mega_collection |
Hindawi Limited (CrossRef) |
| match_str |
aslanov2015behaviorofafreedualspingyrostatwithdifferentratiosofinertiamoments |
| publishDateSort |
2015 |
| publisher |
Hindawi Limited |
| recordtype |
ai |
| record_format |
ai |
| series |
Advances in Mathematical Physics |
| source_id |
49 |
| title |
Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_unstemmed |
Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_full |
Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_fullStr |
Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_full_unstemmed |
Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_short |
Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_sort |
behavior of a free dual-spin gyrostat with different ratios of inertia moments |
| topic |
Applied Mathematics General Physics and Astronomy |
| url |
http://dx.doi.org/10.1155/2015/323714 |
| publishDate |
2015 |
| physical |
1-10 |
| description |
<jats:p>The attitude motion is studied of asymmetric dual-spin gyrostats which may be modeled as free systems of two rigid bodies, one asymmetric and one axisymmetric. Exact analytical solutions of the attitude motion are presented for all possible ratios of inertia moments of these bodies. The dynamics of free gyrostats with zero internal torque is considered. The dimensionless nonlinear equations of the gyrostat are written in Serret-Andoyer canonical variables. The previously known exact solutions are complemented by new several solutions in terms of Jacobi elliptic functions. The results of the study can be useful for the analysis of dual-spin spacecraft dynamics.</jats:p> |
| container_start_page |
1 |
| container_title |
Advances in Mathematical Physics |
| container_volume |
2015 |
| format_de105 |
Article, E-Article |
| format_de14 |
Article, E-Article |
| format_de15 |
Article, E-Article |
| format_de520 |
Article, E-Article |
| format_de540 |
Article, E-Article |
| format_dech1 |
Article, E-Article |
| format_ded117 |
Article, E-Article |
| format_degla1 |
E-Article |
| format_del152 |
Buch |
| format_del189 |
Article, E-Article |
| format_dezi4 |
Article |
| format_dezwi2 |
Article, E-Article |
| format_finc |
Article, E-Article |
| format_nrw |
Article, E-Article |
| _version_ |
1792327416003166208 |
| geogr_code |
not assigned |
| last_indexed |
2024-03-01T12:36:44.105Z |
| geogr_code_person |
not assigned |
| openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=Behavior+of+a+Free+Dual-Spin+Gyrostat+with+Different+Ratios+of+Inertia+Moments&rft.date=2015-01-01&genre=article&issn=1687-9139&volume=2015&spage=1&epage=10&pages=1-10&jtitle=Advances+in+Mathematical+Physics&atitle=Behavior+of+a+Free+Dual-Spin+Gyrostat+with+Different+Ratios+of+Inertia+Moments&aulast=Aslanov&aufirst=Vladimir&rft_id=info%3Adoi%2F10.1155%2F2015%2F323714&rft.language%5B0%5D=eng |
| SOLR | |
| _version_ | 1792327416003166208 |
| author | Aslanov, Vladimir |
| author_facet | Aslanov, Vladimir, Aslanov, Vladimir |
| author_sort | aslanov, vladimir |
| container_start_page | 1 |
| container_title | Advances in Mathematical Physics |
| container_volume | 2015 |
| description | <jats:p>The attitude motion is studied of asymmetric dual-spin gyrostats which may be modeled as free systems of two rigid bodies, one asymmetric and one axisymmetric. Exact analytical solutions of the attitude motion are presented for all possible ratios of inertia moments of these bodies. The dynamics of free gyrostats with zero internal torque is considered. The dimensionless nonlinear equations of the gyrostat are written in Serret-Andoyer canonical variables. The previously known exact solutions are complemented by new several solutions in terms of Jacobi elliptic functions. The results of the study can be useful for the analysis of dual-spin spacecraft dynamics.</jats:p> |
| doi_str_mv | 10.1155/2015/323714 |
| facet_avail | Online, Free |
| finc_class_facet | Mathematik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
| format_de14 | Article, E-Article |
| format_de15 | Article, E-Article |
| format_de520 | Article, E-Article |
| format_de540 | Article, E-Article |
| format_dech1 | Article, E-Article |
| format_ded117 | Article, E-Article |
| format_degla1 | E-Article |
| format_del152 | Buch |
| format_del189 | Article, E-Article |
| format_dezi4 | Article |
| format_dezwi2 | Article, E-Article |
| format_finc | Article, E-Article |
| format_nrw | Article, E-Article |
| geogr_code | not assigned |
| geogr_code_person | not assigned |
| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE1NS8yMDE1LzMyMzcxNA |
| imprint | Hindawi Limited, 2015 |
| imprint_str_mv | Hindawi Limited, 2015 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 1687-9139, 1687-9120 |
| issn_str_mv | 1687-9139, 1687-9120 |
| language | English |
| last_indexed | 2024-03-01T12:36:44.105Z |
| match_str | aslanov2015behaviorofafreedualspingyrostatwithdifferentratiosofinertiamoments |
| mega_collection | Hindawi Limited (CrossRef) |
| physical | 1-10 |
| publishDate | 2015 |
| publishDateSort | 2015 |
| publisher | Hindawi Limited |
| record_format | ai |
| recordtype | ai |
| series | Advances in Mathematical Physics |
| source_id | 49 |
| spelling | Aslanov, Vladimir 1687-9120 1687-9139 Hindawi Limited Applied Mathematics General Physics and Astronomy http://dx.doi.org/10.1155/2015/323714 <jats:p>The attitude motion is studied of asymmetric dual-spin gyrostats which may be modeled as free systems of two rigid bodies, one asymmetric and one axisymmetric. Exact analytical solutions of the attitude motion are presented for all possible ratios of inertia moments of these bodies. The dynamics of free gyrostats with zero internal torque is considered. The dimensionless nonlinear equations of the gyrostat are written in Serret-Andoyer canonical variables. The previously known exact solutions are complemented by new several solutions in terms of Jacobi elliptic functions. The results of the study can be useful for the analysis of dual-spin spacecraft dynamics.</jats:p> Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments Advances in Mathematical Physics |
| spellingShingle | Aslanov, Vladimir, Advances in Mathematical Physics, Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments, Applied Mathematics, General Physics and Astronomy |
| title | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_full | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_fullStr | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_full_unstemmed | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_short | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| title_sort | behavior of a free dual-spin gyrostat with different ratios of inertia moments |
| title_unstemmed | Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments |
| topic | Applied Mathematics, General Physics and Astronomy |
| url | http://dx.doi.org/10.1155/2015/323714 |