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- W3149136199 abstract "Equations are derived by Hamilton's principle for the in-plane motion of a cable-connected satellite spinning in orbit when both extensible and lateral vibrations are considered. These equations are linearized and solved after neglecting Coriolis coupling for three example cases: 1) nonspinning in free space, 2) spinning in free space, and 3) spinning in orbit. Lagrange's equations are derived for a lumped-mass approximation to the cable system constrained to move only in the plane of the orbit. These nonlinear equations are solved numerically using a fourth-order Runge-Kutta routine. The examples calculated correspond to a single 16,000-ft wire attached between a large central mass moving in an undisturbed Keplerian orbit and a smaller ( 100 Ib) spinning outer mass point. It is shown that viscous axial damping is ineffective in reducing transverse cable oscillations, that very few mass points are required to give good accuracy, and that computer experiments are feasible." @default.
- W3149136199 created "2021-04-13" @default.
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- W3149136199 date "2003-01-01" @default.
- W3149136199 modified "2023-09-26" @default.
- W3149136199 title "Cable Motion of a Spinning Spring-Mass System in Orbit" @default.
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