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math.DS2006
The Instability of the Central Configuration Caused By Resonance Perturbation
A. E. Rosaev
The gravitation interaction between particles is taken into account in central configuration model. After that, the resonance perturbation of the particle of the central configurat…
math.DS2005
The Parametric Instability of Motion at Resonance as a Source of Chaotic Behaviour at the Restricted Three body Problem
A. E. Rosaev
The planetary restricted three-body problem (RTBP) is considered. The primary mass M is much more than another masses mj, i=1..N, which revolve around M. The massless probe particl…
math.DS2005
The Investigation of Stationary Points In Central Configuration Dynamics
A. E. Rosaev
A system of N points, each having mass m, and a central mass M forming a planar central configuration, is considered. The equations of motion of a test particle are given and compa…