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地球引力场中高阶带谐函数对人造卫星运动的影响

THE EFFECT OF HIGHER ZONAL HARMONICS IN THE EARTH'S GRAVITATIONAL FIELD ON THE MOVEMENT OF THE ARTIFICIAL SATELLITES
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摘要 一、引言在以地球质量中心为坐标原点,瞬时赤道平面为基本平面、某春分点为起算点的轨道坐标系中,如果采用理论单位制(在卫星运动中,分别以地球赤道平均半径、地球质量和806.813秒为长度,质量和时间单位)。 This paper discusses the effect of higher zonal harmonics in the Earth's gravitational field on the movement of the artificial satellites and obtains a general expression. By these formulas, we can conveniently calculate the first order long-period perturbation and the second order secular perturbation in the orbital elements of a satellite caused by them. Finally, as a special case, we give the first order secular perturbation due to J_2 term and the first order long-period perturbation and the second order secular perturbation due to J_3 and J_4 term. They are all the same as the result obtained by Y. Kozai and D. Brouwer.
作者 郑学塘
出处 《北京师范大学学报(自然科学版)》 CAS 1980年第2期73-82,共10页 Journal of Beijing Normal University(Natural Science)
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