报告人：Jesus F. Palacian
报告地点：数学与统计学院二楼会议室
报告时间：2023年6月30日 14：30-15：30
邀请人：李勇、冀书关
报告摘要：
Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM 4-tori related to the co-orbital motion of two small moons about a large planet where the moons move in nearly circular orbits with almost equal radii. The approach is based on a combination of normal form and symplectic reduction theories and the application of a KAM theorem for high-order degenerate systems. To accomplish our results we need to expand the Hamiltonian of the three-body problem as a perturbation of two uncoupled Kepler problems. This approximation is valid in the region of phase space where co-orbital solutions occur.
主讲人简介：
He is doctor in Applied Mathematics by the University of Zaragoza since 1992. From 1992 to 1995 he was associate lecturer in the department of Applied Mathematics at University of Zaragoza. From July 1993 to September 1994, he worked as visiting scientist in the Department of Mission Analysis of the European Space Agency in Darmstadt (Germany). In September 1995 he joined the Public University of Navarre as Senior Lecturer in Applied Mathematics.
His research activities are related to the qualitative theory of differential equations, dynamical systems and applications in celestial mechanics, atomic physics and molecular dynamics. He has co-authored about 145 research papers, 85 of them in JCR journals. He has co-edited a special volume in the journal Qualitative Theory of Dynamical Systems.
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