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Three complete theories of the low-frequency dynamics of ships and disks moored with multileg mooring systems in deep water are derived, evaluated, and computerized. One theory is nonlinear; it includes the effects of cubic damping, nonlinear mooring forces and the excitation-yaw motion feedback, and it is handled by simulation. It yields random, regular and transient records, probabilities and statistics, exact and linearized transfer functions, and spectra of responses. The second theory is linear, solved in the frequency domain. The third is a static theory, which is a by-product of the linear one. Mooring lines of arbitrary compositions are considered.

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Presented at the September 11, 1980 meeting of the Los Angeles Metropolitan Section of The Society of Naval Architects and Marine Engineers. Reprinted with the permission of the Society of Naval Architects and Marine Engineers (SNAME). Material originally appearing in SNAME publications cannot be reprinted without written permission from the Society, 601 Pavonia Ave., Jersey City, NJ 07306 or