报告题目：Stability analysis of restricted elliptic three-body problem
报告人：盛凯程博士（山东大学）
主持人：李娜教授
报告地点：燕山校区1号教学楼1706
报告时间：2023年4月6日（周四）15:00—16:00
主办单位：山东财经大学统计与数学学院
摘要：We are dealing with the averaged model used to study the Lidov-Kozai effects in the motion of a massless asteriod in a spatial restricted elliptic three-body problem. The aim of our investigation is to analyze the stability of asteroid at an importantequilibria. We show that they are stable in the linear approximation. The Arnold–Moser stability theorem provides sufficient conditions under which this means stability in a nonlinear sense too. For 2:1 resonance, we show a case of instability.
个人简介：盛凯程，山东大学数学学院，山东省博新博士后，博士毕业于英国拉夫堡大学数学系，师从AnatolyNeishtadt教授。主要研究方向为哈密顿动力系统，平均化方法，三体问题等。已在CMDA，CNSNS等重要期刊上发表多篇文章，在倒立摆问题和三体问题方面取得重要成果。