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Dan Xue, Junfeng Li, Fanghua Jiang. Reachable domain of a satellite with a coplanar impulse applied[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 337-342. DOI: 10.6052/0459-1879-2010-2-2008-772
Citation: Dan Xue, Junfeng Li, Fanghua Jiang. Reachable domain of a satellite with a coplanar impulse applied[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 337-342. DOI: 10.6052/0459-1879-2010-2-2008-772
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Reachable domain of a satellite with a coplanar impulse applied

  • School of Aerospace, Tsinghua University, Beijing 100084, ChinaSchool of Aerospace, Tsinghua University, Beijing 100084, ChinaSchool of Aerospace, Tsinghua University, Beijing 100084, China

  • Received Date: December 17, 2008
  • Revised Date: February 04, 2009
    Graphical Abstract
    • Abstract
  • This paper studies the reachable domain of a satelliteafter a coplanar single impulse with fixed magnitude applied. On theassumption that all of the generated trajectories are ellipses due to thesmall amplitude impulse, the reachable domain is bounded. According to thedefinition of the envelope of the curve family in a plane, the boundary ofreachable domain is revealed respectively for three situations, namely, thepoint to apply impulse is fixed and the direction is arbitrary, the point toapply impulse is arbitrary and the direction is fixed, both the point toapply impulse and the direction are arbitrary. The simulation resultsverify the validity of the present approach.The conclusion has no restriction on theeccentricity of the initial elliptic orbit, and fits for the situation ofinitial elliptic orbit with large eccentricity.
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