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On Systems with ‘Leier Constraint’ in the Central Newtonian Force Field

Alexander Rodnikov
We consider the system that moves in the Newtonian central force field and consists of a rigid body and a particle. The particle coasts along on the cable with both ends placed in the body. We call such cable a 'leier'. (Dutch maritime term ‘leier’ means the rope with both fixed ends). We assume the system mass center describes circular orbit and the cable length is small in comparison with orbit radius. We study the particle motion near the body, the system relative equilibria, the capture by the leier of a free-moving particle
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