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nlin.CD2019★ 4 cited
Numerical investigation on the Hill's type lunar problem with homogeneous potential
Yanxia Deng, Slim Ibrahim, Euaggelos E. Zotos
We consider the planar Hill's lunar problem with a homogeneous gravitational potential. The investigation of the system is twofold. First, the starting conditions of the trajectori…
math.CA2019
Global Existence and Singularity of the N-body Problem with Strong Force
Yanxia Deng, Slim Ibrahim
We use the idea of ground states and excited states in nonlinear dispersive equations (e.g. Klein-Gordon and Schrödinger equations) to characterize solutions in the N-body problem…