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Analytic short period lunar and solar perturbations of artificial satellites

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Abstract

The short period luni-solar theory of Kozai is generalized for arbitrary obliquity of the ecliptic and inclination of the moon's orbit to the ecliptic. Analytic first order lunar perturbations to the elements are derived. The theory is illustrated by an application to the communication satellite Intelsat 3F3.

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References

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  • Cayley, A.: 1861,Mem. Roy. Astron. Soc. 29, 191–306.

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  • Kozai, Y.: 1959, ‘On the Effects of the Sun and the Moon Upon the Motions of a Close Earth Satellite’, SAO Special Report 22, Smithsonian Institution Astrophysical Observatory.

  • Kozai, Y.: 1966, ‘Lunisolar Perturbations with Short Periods’, SAO Special Report 235, Smithsonian Institution Astrophysical Observatory.

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Fisher, D. Analytic short period lunar and solar perturbations of artificial satellites. Celestial Mechanics 6, 447–467 (1972). https://doi.org/10.1007/BF01227758

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  • DOI: https://doi.org/10.1007/BF01227758

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