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Dynamics of flexible spinning satellites with radial wire antennasA dynamic analysis is presented for a spin-stabilized spacecraft employing four radial wire antennas with tip masses. The satellite is modelled as a 14-degree-of-freedom system, and the linearized equations of motion are found. The lowest-order vibrational modes and natural frequencies of the gyroscopically coupled system are then determined. Because the satellite spin rate is decreased by antenna deployment, a spin-up maneuver is needed. The response of the time-varying mode equations during spin-up is found for the planar modes in terms of Bessel functions and a Struve function of order -0.25. The particular solution is expressed in various forms, including an infinite series of Bessel functions and a particularly useful asymptotic expansion. An error formula for the latter is derived, showing that it gives good accuracy. A simple approximation to the complementary function is obtained using the Wenzel-Kramers-Brillouin method, and the phase error in the approximation is shown to be small.
Document ID
19760051523
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Longman, R. W.
(Columbia University New York, N.Y., United States)
Fedor, J. V.
(Columbia University, New York, N.Y.; NASA, Goddard Space Flight Center Greenbelt, Md., United States)
Date Acquired
August 8, 2013
Publication Date
February 1, 1976
Subject Category
Astrodynamics
Accession Number
76A34489
Distribution Limits
Public
Copyright
Other

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