Space Technology Research Group, National Aerospace Laboratory(NAL)
出版者
航空宇宙技術研究所
出版者(英)
National Aerospace Laboratory(NAL)
雑誌名
航空宇宙技術研究所報告
雑誌名(英)
Technical Report of National Aerospace Laboratory TR-320
巻
320
ページ
18
発行年
1973-06
抄録(英)
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.