Abstract
In this chapter, it is discussed how the Lidov-Kozai theory has been extended and refined as an important constituent of the new exoplanetary studies. Various phenomena induced by the Lidov-Kozai effect (in particular, the orbital flips from prograde to retrograde orbits and vice versa) in exoplanetary systems are considered.
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Notes
- 1.
A planetary system is called multiplanet if it contains more than one planet.
- 2.
This rapid growth has been mostly due to the success of the Kepler space observatory mission.
- 3.
For a description of methods for the discovery of exoplanets, see, e.g., Ferraz-Mello et al. 2005.
- 4.
The essence of the Rossiter–McLaughlin effect is as follows. A planet transiting a rotating star affects the measured radial velocity of the star differently at different phases of the transit, because the eclipsed disk on the star’s disk corresponds to different local radial velocities of the star’s surface. The Rossiter–McLaughlin effect allows one to estimate the angle between the star’s equatorial plane (the plane orthogonal to the rotation axis of the star) and the planet’s orbital plane.
- 5.
Note that this is a third averaging of the original equations of motion, because the secular equations are derived by double averaging of the original equations (over the orbital periods of the particle and the perturber).
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Shevchenko, I.I. (2017). The Role in Sculpting Exoplanetary Systems. 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_8
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