Stability of neutral systems in the presence of fourth-order multiple resonance

Computer Science

Scientific paper

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Celestial Mechanics, Dynamic Stability, Resonance, Systems Stability, Complex Systems, Gravitational Effects, Libration, Theorem Proving, Three Body Problem

Scientific paper

The stability of steady motions of multiparameter systems is analyzed in the critical case of N pairs of purely imaginary roots during the interaction of several internal resonances of fourth order. The photogravitational restricted circular three-body problem is considered as an example; the interaction of resonances at libration points is examined.

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