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Cassini’s Second and Third Laws

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Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 8))

Abstract

In 1693 G. D. Cassini published the three following empirical laws on the Moon’s rotational motion:

  1. (1)

    The Moon rotates uniformly about its polar axis with a rotational period equal to the mean sidereal period of its orbit about the earth.

  2. (2)

    The inclination of the Moon’s equator to the ecliptic is a constant angle approximately 1°5.

  3. (3)

    The ascending node of the lunar orbit on the ecliptic coincides with the descending node of the lunar equator on the ecliptic.

Dedicated to the Memory of Imre Iszak

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References

  • Cassini, G. D.: 1693, Traité de l’origine et du progrès de l’astronomie. Paris.

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  • Jeffreys, H.: 1953, Monthly Notices Roy. Astron. Soc. 113, 81.

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  • Tisserand,F.: 1986, Traité de Mécanique Céleste IV, Gauthier-Villars, Paris, p. 91 113, 81.

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  • Whipple, F. L.: 1963, Earth, Moon, and Planets. Harvard University Press, Cambridge, Mass.

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© 1967 D. Reidel Publishing Company

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Colombo, G. (1967). Cassini’s Second and Third Laws. In: Measure of the Moon. Astrophysics and Space Science Library, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-3529-3_2

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  • DOI: https://doi.org/10.1007/978-94-010-3529-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3531-6

  • Online ISBN: 978-94-010-3529-3

  • eBook Packages: Springer Book Archive

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