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The algorithms for capture of the space garbage using ‘leier constraint’. (English) Zbl 1164.70349
Summary: We study the following problem. Let a particle move in a central Newtonian gravitational field near a massive gravitationally oriented body. The body describes a circular orbit and is equipped with a ‘leier constraint’, i.e. a cable with both ends fixed on the body (from the Dutch maritime term ‘leier’ — a rope with both ends fixed). We study the possibility of capturing the particle (i.e. to force the particle to move periodically) by a gripper coasting on the ‘leier constraint’. Any discontinuities in the velocity and acceleration are not allowed. We show that using a sufficiently long cable the capture is possible for almost all values of the system parameters. We also construct a modified algorithm that allows many-fold reduction in the required cable length.

MSC:
70M20 Orbital mechanics
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