Predicting tilt of a double pendulum

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Assembly, Center Of Gravity, Fasteners, Hubble Space Telescope, Pendulums, Suspending (Hanging), Cables, Computer Programs, Iterative Solution

Scientific paper

An iterative computer method is described that has been used to calculate the proper settings of the lengths of six turnbuckles used in the hoisting of the 24,000-lb Hubble Space Telescope and components during assembly. The various sections are required to hang very close to level (within a few arc-seconds) when hoisted. The hoisting gear is a delta (triangular) frame suspended by three chains from a single hook on the hoist. Three long cables attached to the bottom of the frame are attached to the Space Telescope. The chains and frame and the cables and telescope together constitute a double pendulum. After correcting some errors in the CG calculations and fixing a large discrepancy in the supposed coordinates of the attach points, a nearly perfect result (6 arcmin tilt in one plane, 3 arcmin in the other) was obtained. The program gives a satisfactory answer in 30 seconds; at most, one adjustment of the turnbuckles is required.

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