Dynamics of an elastic satellite with internal friction.
n this thesis, we study the dynamics of an elastic body whose shape and position evolve due to the gravitational forces exerted by a point-like planet whose position is fixed in the space. The first result of the thesis is that, if any internal deformation of the body dissipates some energy, then th...
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| Κύριος συγγραφέας: | |
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| Μορφή: | Online |
| Γλώσσα: | Αγγλικά |
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Ledizioni
2021
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| Διαθέσιμο Online: | 15497 |
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| _version_ | 1869527393448755200 |
|---|---|
| author | Emanuele Haus |
| author_browse | Emanuele Haus |
| author_facet | Emanuele Haus |
| author_sort | Emanuele Haus |
| collection | Directory of Open Access Books |
| description | n this thesis, we study the dynamics of an elastic body whose shape and position evolve due to the gravitational forces exerted by a point-like planet whose position is fixed in the space. The first result of the thesis is that, if any internal deformation of the body dissipates some energy, then the dynamics of the system has only three possible final behaviors: (i) the satellite is expelled to infiniy; (ii) the satellite falls on the planet; (iii) the satellite is captured in synchronous resonance. By item (iii) we mean that the shape of the body reaches a final configuration that a principal axis of inertia is directed towards the attracting planet and that the center of mass of satellite moves on a circle of constant radius. |
| format | Online |
| id | doab-20.500.12854ir-45577 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Ledizioni |
| publisherStr | Ledizioni |
| record_format | ojs |
| spelling | doab-20.500.12854ir-455772023-12-20T18:40:37Z Dynamics of an elastic satellite with internal friction. Emanuele Haus QA1-939 bic Book Industry Communication::P Mathematics & science n this thesis, we study the dynamics of an elastic body whose shape and position evolve due to the gravitational forces exerted by a point-like planet whose position is fixed in the space. The first result of the thesis is that, if any internal deformation of the body dissipates some energy, then the dynamics of the system has only three possible final behaviors: (i) the satellite is expelled to infiniy; (ii) the satellite falls on the planet; (iii) the satellite is captured in synchronous resonance. By item (iii) we mean that the shape of the body reaches a final configuration that a principal axis of inertia is directed towards the attracting planet and that the center of mass of satellite moves on a circle of constant radius. 2021-02-11T11:51:30Z 2021-02-11T11:51:30Z 2013-09-20 17:15:55 2013 book 15497 9788867050673 https://directory.doabooks.org/handle/20.500.12854/45577 eng Mathematical Sciences image/jpeg Attribution-NonCommercial-ShareAlike 4.0 International http://www.ledizioni.it/prodotto/emanuele-haus-dynamics-of-an-elastic-satellite-with-internal-friction-asymptotic-stability-vs-collision-or-expulsion/ http://www.ledizioni.it/stag/wp-content/uploads/2014/02/tesi_haus.pdf Ledizioni cb2a1db5-5754-4ab6-bb64-d635458e30c5 9788867050673 open access |
| spellingShingle | QA1-939 bic Book Industry Communication::P Mathematics & science Emanuele Haus Dynamics of an elastic satellite with internal friction. |
| title | Dynamics of an elastic satellite with internal friction. |
| title_full | Dynamics of an elastic satellite with internal friction. |
| title_fullStr | Dynamics of an elastic satellite with internal friction. |
| title_full_unstemmed | Dynamics of an elastic satellite with internal friction. |
| title_short | Dynamics of an elastic satellite with internal friction. |
| title_sort | dynamics of an elastic satellite with internal friction |
| topic | QA1-939 bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 bic Book Industry Communication::P Mathematics & science |
| url | 15497 |
| work_keys_str_mv | AT emanuelehaus dynamicsofanelasticsatellitewithinternalfriction |