@techreport{oai:jaxa.repo.nii.ac.jp:00044632,
 author = {武内, 澄夫 and TAKEUCHI, Sumio},
 month = {Aug},
 note = {Perturbative effects of earth oblateness on the motion of an artificial satellite are investigated by von Zeipel’s modification of the method of Delaunay. In Delaunay variables, both additions to the secular motions and long-periodic terms are found for zonal harmonic of any order above the second. The complete solution of the problem is given by Brouwer’s first-order solution of the main problem and the secular and long-periodic contributions caused by the zonal harmonics added to the principal term and the second harmonic. It is assumed that J2 is a small quantity of the first order, and all other coefficients Jp for p > 2 are of the second order. The numerical values of the coefficients of eccentricity functions and those of inclination functions are given for the gravitational potential of the earth represented by the sum of the central field and the perturbing potential up to the twenty-first order. The theory is applied to the sun-synchronous orbit to calculate the variations of the orbital elements., 資料番号: NALTR0384000, レポート番号: NAL TR-384},
 title = {人工衛星の運動におけるZonal Harmonicsによる摂動-von Zeipelの方法による一次理論-},
 year = {1974}
}