تقرير
Kepler dynamics on a conformable Poisson manifold
| العنوان: | Kepler dynamics on a conformable Poisson manifold |
|---|---|
| المؤلفون: | Hounkonnou, Mahouton Norbert, Landalidji, Mahougnon Justin |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, (2010): 37C10, 37J35, 37K05, 37K10 |
| الوصف: | The problem of Kepler dynamics on a conformable Poisson manifold is addressed. The Hamiltonian function is defined and the related Hamiltonian vector field governing the dynamics is derived, which leads to a modified Newton second law. Conformable momentum and Laplace-Runge-Lenz vectors are considered, generating $SO(3), SO(4),$ and $SO(1, 3)$ dynamical symmetry groups. The corresponding first Casimir operators of $SO(4)$ and $SO(1, 3)$ are, respectively, obtained. The recursion operators are constructed and used to compute the integrals of motion in action-angle coordinates. Main relevant properties are deducted and discussed. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.08450 |
| رقم الأكسشن: | edsarx.2308.08450 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |