تقرير
Linear stability of the elliptic relative equilibrium with $(1 +n)$-gon central configurations in planar $n$-body problem
| العنوان: | Linear stability of the elliptic relative equilibrium with $(1 +n)$-gon central configurations in planar $n$-body problem |
|---|---|
| المؤلفون: | Hu, Xijun, Long, Yiming, Ou, Yuwei |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, 37J25, 70F10, 37J45, 53D12 |
| الوصف: | We study the linear stability of $(1+n)$-gon elliptic relative equilibrium (ERE for short), that is the Kepler homographic solution with the $(1+n)$-gon central configurations. We show that for $n\geq 8$ and any eccentricity $e\in[0,1)$, the $(1+n)$-gon ERE is stable when the central mass $m$ is large enough. Some linear instability results are given when $m$ is small. Comment: 28 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1361-6544/ab5927 |
| URL الوصول: | http://arxiv.org/abs/1903.10270 |
| رقم الأكسشن: | edsarx.1903.10270 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1361-6544/ab5927 |
|---|