AIMS Home

SS25: Celestial Mechanics and N-Body Problem

Organizer(s):
Name:	Affiliation:	Country:
Kuo-Chang Chen	National Tsing Hua University	Taiwan
Mitsuru Shibayama	Kyoto University	Japan

Abstract:
Celestial mechanics and n-body dynamics have been studied by many prominent mathematicians and physicists for centuries. With developments of mathematical and computational tools, there are exciting progresses during the past two decades. These progresses include variational approaches, stability, chaotic phenomenon, integrability, central configurations, solar system, space mission designs, planetary formations, among many others. In this special session we aim at providing a forum for researchers in this field to share latest developments and exchange ideas.

List of approved abstract
Name	Affiliation	Title
Kuo-Chang Chen	National Tsing Hua University	Central configurations and central measures
Toshiaki Fujiwara	Kitasato University	Linear stability and Morse index for the figure-eight and $k=5$ slalom solutions under homogeneous potential
Hiroshi Fukuda	Kitasato University	Periodic solutions around the figure-eight choreography for the equal mass three-body problem
Feng-Tai Hwang	National Space Organization	Taiwan`s National Space Program Past and Future
Yuika Kajihara	Kyoto University	Variational proof of the existence of brake orbits in the 2-center problem
Masaya M Saito	The Institute of Statistical Mathematics	Orbital Elements Distribution of the Invariant Manifolds Associated to the Lyapunov Family of Periodic Orbits around $L_1$ and $L_2$
Mitsuru Shibayama	Kyoto University	Variational existence proof of periodic and connecting orbits in the planar Sitnikov problem
Shanzhong SUN	Capital Normal University	On the linear stability of relative equilibrium in N-body problem
Ya-Lun Tsai	National Chung Hsing University	Counting central configurations at the bifurcation points
Zhifu Xie	The University of Southern Mississippi	Super Central Configurations and the Number of Central Configurations of $n$-body Problem
Junji Yamada	Kyoto University	Nonintegrability of Hamiltonian systems with homogeneous potentials of degree $-2$
Duokui Yan	Beihang University	Geometric properties of minimizing orbits in the 3-body problem
Hiroaki Yoshimura	Waseda University	Design of low energy Earth-Moon transfers in the 4-body system
Guowei Yu	University of Turin	Application of Morse index in weak force N-body problem