• Title/Summary/Keyword: 라그랑지 괄호

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Detailed Re-derivation of Keplerian Orbit and Kaula's Satellite Orbit Perturbation Theory (케플러궤도운동과 카울라의 인공위성궤도 섭동이론의 상세한 재유도)

  • Na, Sung-Ho;Bae, Tae-Seok;Jo, Jung-Hyun;Park, Jong-Uk
    • Journal of the Korean earth science society
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    • v.33 no.1
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    • pp.11-31
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    • 2012
  • Kaula's theory of satellite orbit and Kepler's law are re-visited. All the mathematical steps of derivation are thoroughly shown including the ones, which had been omitted in Kaula's original publication. Particularly in evaluations of the 15 independent Lagrange brackets, simplicity and clarity are attained by using orthogonal property of transformation matrix. Explanations of important physical concepts are included as well in the midway of derivation. One conceptual blunder of Kaula's is corrected.