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http://dx.doi.org/10.5467/JKESS.2012.33.1.11

Detailed Re-derivation of Keplerian Orbit and Kaula's Satellite Orbit Perturbation Theory  

Na, Sung-Ho (Space Science Division, Korea Astronomy and Space Science Institute)
Bae, Tae-Seok (Department of Geoinformation Engineering, Sejong University)
Jo, Jung-Hyun (Space Science Division, Korea Astronomy and Space Science Institute)
Park, Jong-Uk (Space Science Division, Korea Astronomy and Space Science Institute)
Publication Information
Journal of the Korean earth science society / v.33, no.1, 2012 , pp. 11-31 More about this Journal
Abstract
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.
Keywords
satellite orbit; Keplerian elements; Lagrange bracket;
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  • Reference
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