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Dynamical Essence and Historical Background

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Part of the Astrophysics and Space Science Library book series (ASSL,volume 441)

Abstract

In this chapter, the basic dynamical manifestations (the observable essence) of the Lidov-Kozai effect are considered, along with the historical background that facilitated its discovery.

Keywords

  • Semimajor Axis
  • Cartesian Frame
  • Solar System Planet
  • Secular Effect
  • Kepler Equation

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  • DOI: 10.1007/978-3-319-43522-0_1
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Fig. 1.1
Fig. 1.2
Fig. 1.3
Fig. 1.4
Fig. 1.5
Fig. 1.6
Fig. 1.7
Fig. 1.8

Notes

  1. 1.

    The frame referred to the center of mass of the system.

  2. 2.

    Note that all longitudes are defined with respect to immovable coordinate axes.

  3. 3.

    This strange terminology arises from the fact that ϖ is a sum of two angles in two planes generally intersecting with each other, see Fig. 1.2.

  4. 4.

    Lidov himself did not attend the Symposium; his report was delivered by Albert Molchanov. The report was published in 1963 (Lidov 1963c).

References

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  • Kozai, Y. (1962) “Secular perturbations of asteroids with high inclination and eccentricity.” Astron. J., 67, 591–598

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Shevchenko, I.I. (2017). Dynamical Essence and Historical Background. In: The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy. Astrophysics and Space Science Library, vol 441. Springer, Cham. https://doi.org/10.1007/978-3-319-43522-0_1

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