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    Chaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations

    Source: Journal of Applied Mechanics:;1996:;volume( 063 ):;issue: 002::page 501
    Author:
    G. L. Gray
    ,
    I. Dobson
    ,
    D. C. Kammer
    DOI: 10.1115/1.2788896
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We use Melnikov’s method to study the chaotic dynamics of an attitude transition maneuver of a torque-free rigid body in going from minor axis spin to major axis spin under the influence of small damping. The chaotic motion is due to the formation of Smale horseshoes which are caused by the oscillation of small subbodies inside the satellite. The equations of motion are derived and then transformed into a form suitable for the application of Melnikov’s method. An analytical criterion for chaotic motion is derived in terms of the system parameters. This criterion is evaluated for its significance to the design of artificial satellites.
    keyword(s): Chaos , Space vehicles , Satellites , Particle spin , Motion , Equations of motion , Oscillations , Dynamics (Mechanics) , Torque , Damping AND Design ,
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      Chaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/116473
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    contributor authorG. L. Gray
    contributor authorI. Dobson
    contributor authorD. C. Kammer
    date accessioned2017-05-08T23:49:15Z
    date available2017-05-08T23:49:15Z
    date copyrightJune, 1996
    date issued1996
    identifier issn0021-8936
    identifier otherJAMCAV-26392#501_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116473
    description abstractWe use Melnikov’s method to study the chaotic dynamics of an attitude transition maneuver of a torque-free rigid body in going from minor axis spin to major axis spin under the influence of small damping. The chaotic motion is due to the formation of Smale horseshoes which are caused by the oscillation of small subbodies inside the satellite. The equations of motion are derived and then transformed into a form suitable for the application of Melnikov’s method. An analytical criterion for chaotic motion is derived in terms of the system parameters. This criterion is evaluated for its significance to the design of artificial satellites.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleChaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations
    typeJournal Paper
    journal volume63
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2788896
    journal fristpage501
    journal lastpage508
    identifier eissn1528-9036
    keywordsChaos
    keywordsSpace vehicles
    keywordsSatellites
    keywordsParticle spin
    keywordsMotion
    keywordsEquations of motion
    keywordsOscillations
    keywordsDynamics (Mechanics)
    keywordsTorque
    keywordsDamping AND Design
    treeJournal of Applied Mechanics:;1996:;volume( 063 ):;issue: 002
    contenttypeFulltext
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