@techreport{oai:jaxa.repo.nii.ac.jp:00044565, author = {武内, 澄夫 and TAKEUCHI, Sumio}, month = {Jun}, note = {The motion of an artificial satellite in the gravitational field of the earth is investigated using Lagrange’s planetary equations. The complete gravitational disturbing function expressed in osculating Keplerian orbital elements is used. Analytic formulae for the first order perturbations of the Keplerian orbital elements are derived. In the case of satellites with periods commensurate with the earth’s rotation period, by introducing the critical argument, the variations of orbital elements due to resonance terms are obtained. Then, integrating the resonance equation, the limits of the critical argument of the satellite are determined. The theory is applied to the orbit of the geostationary satellite and variations of orbital elements are calculated. Further the stability of the satellite orbits in an earth-fixed reference frame is examined., 資料番号: NALTR0320000, レポート番号: NAL TR-320}, title = {地球の重力の作用下にある人工衛星の運動に関する研究-運動が長期間にわたる場合-}, year = {1973} }