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Analytic perturbation solutions to the Venusian orbiter due to the nonspherical gravitational potential 被引量:1

Analytic perturbation solutions to the Venusian orbiter due to the nonspherical gravitational potential
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摘要 The analytic perturbation solutions to the motions of a planetary orbiter given in this paper are effective for 0e1, where e is the orbital eccentricity of the orbiter. In the solution, it is assumed that the rotation of the central body is slow, and its astronomical background is clear. Examples for such planets in the solar system are Venus and Mercury. The perturbation solution is tested numerically on two Venusian orbiters with eccentric orbits, PVO and Magellan, and found to be effective. The analytic perturbation solutions to the motions of a planetary orbiter given in this paper are effective for0< e< 1, where e is the orbital eccentricity of the orbiter. in the solution, it is as-sumed that the rotation of the central body is slow, and its astronomical background is clear. Examples for such planets in the solar system are Ven黶 and Mercury. The perturbation solution is tested numer-ically on two Venusian orbiters with eccentric orbits, PVO and Magellan, and found to be effective.
作者 刘林 C.K.Shum
出处 《Science China Mathematics》 SCIE 2000年第5期552-560,共9页 中国科学:数学(英文版)
关键词 SLOW ROTATION central body Venusian ORBITER nonspherical GRAVITATIONAL potential ANALYTIC per- turbation solutions. slow rotation central body Venusian orbiter nonspherical gravitational potential analytic perturbation solutions.
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  • 1G. E. O. Giacaglia.A note on the Inclination Functions of Satellite Theory[J].Celestial Mechanics.1976(4) 被引量:1
  • 2Kaula,W. M.Theory of Satellite Geodesy, Chapter 3, Waltham: Blaisdell Publ[].Co.1966 被引量:1

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