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TECHNICAL PAPERS

Free Attitude Motions of a Spinning Body With Substantial Mass Loss

[+] Author and Article Information
Fidelis O. Eke

Department of Mechanical and Aeronautical Engineering, University of California, Davis, Davis, CA 95616

Tai-Chien Mao

Northrup Grumman Electronics Systems, 1100 West Hollyvale Street, Azusa, CA 91702

Michael J. Morris

Lockheed-Martin Space Systems Company, 1111 Lockheed Martin Way, Sunnyvale, CA 94089

J. Appl. Mech 71(2), 190-194 (May 05, 2004) (5 pages) doi:10.1115/1.1653738 History: Received August 14, 2002; Revised August 12, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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References

Gilmore,  A. W., and Keller,  T. L., 1957, “Damping due to Internal Flow,” J. Aeronaut. Sci., 24(4) pp. 317–318.
Rott,  N., and Pottsepp,  L., “Simplified Calculation of the Jet Damping Effects,” AIAA J., 2(4), pp. 764–766.
Breuer,  D. W., and Southerland,  W. E., 1965, “Jet Damping Effects: Theory and Experiment,” J. Spacecr. Rockets, 2(4), pp. 638–639.
Thomson,  W. T., and Reiter,  G. S., 1965, “Jet Damping of a Solid Rocket: Theory and Flight Results,” AIAA J., 3(3), pp. 413–417.
Warner,  G. G., and Snyder,  V. M., 1968, “A Re-evaluation of Jet Damping,” J. Spacecr. Rockets, 5(3), pp. 364–366.
Mao,  T. C., and Eke,  F. O., 2000, “Attitude Dynamics of a Torque-Free Variable Mass Cylindrical Body,” J. Astronaut. Sci., 48(4), pp. 435–448.
Eke,  F. O., and Wang,  S. M., 1995, “Attitude Behavior of a Variable Mass Cylinder,” ASME J. Appl. Mech., 62, pp. 935–940.
Wang,  S. M., and Eke,  F. O., 1995, “Rotational Dynamics of Axisymmetric Variable Mass Systems,” ASME J. Appl. Mech., 62, pp. 970–974.
Kane, T. R., Likens, P. W., and Levinson, D. A., 1983, Spacecraft Dynamics, McGraw-Hill, New York, pp. 159–169.
Eke,  F. O., and Wang,  S. M., 1994, “Equations of Motion of Two Phase Variable Mass Systems With Solid Base,” ASME J. Appl. Mech., 61, pp. 855–860.
Thomson,  W. T., 1966, “Equations of Motion for the Variable Mass System,” AIAA J., 4(4), pp. 766–768.
Meirovitch,  L., 1970, “General Motion of a Variable Mass Flexible Rocket With Internal Flow,” J. Spacecr. Rockets, 7(2), pp. 186–195.
Eke,  F. O., and Mao,  T. C., 2002, “On the Dynamics of Variable Mass Systems,” Int. J. Mech. Eng. Education, 30(2), pp. 123–137.

Figures

Grahic Jump Location
Model of variable mass system
Grahic Jump Location
(a) Shape of ϕ(τ) for Scenarios (a) and (b); (b) Possible Shapes of ϕ(τ) for Scenario (c)

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