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Non-integrability of the planer three-body problem with square-inverse potentials

山田淳二 氏

2018年11月8日(木) 13時00分

総合研究10号館317号室(セミナー室)

We consider the planer three-body problem with inverse-square potentials. Some nonintegrability results for homogeneous potentials have been obtained by analyzing the variational equations along the homothetic solutions. But we can not apply it to inverse-square potentials since the variational equations are solvable. We obtain sufficiently conditions for non-integrability by focusing on some particular solutions that are different from homothetic solutions.

Last modified: Wed Nov 7 13:01:01 JST 2018