رسالة جامعية
Long-term rotation of celestial bodies and application to Ceres and Vesta ; Rotation à long terme des corps célestes et application à Cérès et Vesta
| العنوان: | Long-term rotation of celestial bodies and application to Ceres and Vesta ; Rotation à long terme des corps célestes et application à Cérès et Vesta |
|---|---|
| المؤلفون: | Vaillant, Timothée |
| المساهمون: | Institut de Mécanique Céleste et de Calcul des Ephémérides (IMCCE), Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Université de Lille-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Université Paris sciences et lettres, Jacques Laskar |
| المصدر: | https://theses.hal.science/tel-02096989Test ; Astrophysique [astro-ph]. Université Paris sciences et lettres, 2018. Français. ⟨NNT : 2018PSLEO005⟩. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2018 |
| المجموعة: | LillOA (HAL Lille Open Archive, Université de Lille) |
| مصطلحات موضوعية: | Celestial mechanics, Rotation of rigid bodies, Ceres, Vesta, Symplectic integrators, Lie algebra, Mécanique céleste, Rotation des corps solides, Cérès, Intégrateurs symplectiques, Algèbre de Lie, [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph] |
| الوصف: | This thesis concerns the long-term rotation of celestial bodies.The first part is a study of the long-term rotation of Ceres and Vesta, the two heaviest bodies of the main asteroid belt. The spacescraft Dawn studied these two objects and determined the physical and rotational characteristics, which are necessary for the computation of their rotations. The ice distribution under and on the surface of Ceres depends on the evolution of the obliquity, which is the inclination of the equatorial plane on the orbital plane. As the rotations of Ceres and Vesta are fast, the long-term evolution of the spin axes of Ceres and Vesta was obtained by realizing a symplectic integration of the equations of the rotation averaged on the fast proper rotation. The stability of the spin axes of Ceres and Vesta was studied with respect to the parameters of the rotation with a secular and semi-analytical model, which allowed to show that the spin axes are not chaotic.The second part concerns the development of symplectic integrators dedicated to the rigid body. The integration of the proper rotation of a rigid body needs to integrate the equations given by the Hamiltonian of the free rigid body. This Hamiltonian is integrable and presents an explicit solution using the Jacobi elliptic functions. However, the numerical cost of these functions is high. When the Hamiltonian of the free rigid body is coupled to a potential energy, the orientation of the body is needed at each step, which increases the computation time. Symplectic integrators were then previously proposed for the free rigid body. In this work, symplectic integrators dedicated to the rigid body were developed using the properties of the Lie algebra of the angular momentum. ; Le sujet de cette thèse est l'étude de la rotation à long terme des corps célestes.La première partie est consacrée à l’étude de la rotation à long terme de Cérès et Vesta, les deux corps les plus massifs de la ceinture principale d’astéroïdes. Ils sont l’objet d’étude de la sonde spatiale Dawn, qui a ... |
| نوع الوثيقة: | doctoral or postdoctoral thesis |
| اللغة: | French |
| العلاقة: | NNT: 2018PSLEO005; tel-02096989; https://theses.hal.science/tel-02096989Test; https://theses.hal.science/tel-02096989/documentTest; https://theses.hal.science/tel-02096989/file/VAILLANT_82150_archivage.pdfTest |
| الإتاحة: | https://theses.hal.science/tel-02096989Test https://theses.hal.science/tel-02096989/documentTest https://theses.hal.science/tel-02096989/file/VAILLANT_82150_archivage.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.5982DB36 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |