The stability of the equilibrium position of a supple heavy wire tethered to a satellite in a circular orbit

Details The stability of the equilibrium position of a supple heavy wire tethered to a satellite in a circular orbit The stability of the equilibrium position of a supple heavy wire tethered to a satellite in a circular orbit

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978kosis..16..621b&link_type=abstract

Kosmicheskie Issledovaniia, vol. 16, July-Aug. 1978, p. 621-626. In Russian.

Astronomy and Astrophysics

Astronomy

Astrodynamics, Spacecraft Stability, Tethered Satellites, Wire, Circular Orbits, Integral Equations, Variational Principles

Scientific paper

The problem of a heavy wire tethered to a satellite in a circular orbit is analyzed. The wire is supple and nonextensible, the variation of its density is represented by a known function, the satellite is assumed to be much larger in mass, and the wire is assumed not to cause perturbations of satellite motion. A suitable expression of the Hamilton-Ostrogradsky variation position is derived, the equilibrium position of the wire is determined, and the stability of the equilibrium position is analyzed.

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