## The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical AstronomyThis book deals with an effect in celestial mechanics that has become quite important in exoplanet research. The Lidov-Kozai effect reveals itself in coherent periodic variations (which can be very large) of the inclination and eccentricity of an orbiting body in the presence of an inclined perturber. The effect is known to be important in the motion of many asteroids and planetary satellites. What is more, now it attracts more and more interest in the astronomical and astrophysical community due to its relevance for many exoplanetary systems. Recent years witnessed major advancements in its theory. It would be no exaggeration to say that nowadays the Lidov-Kozai effect becomes one of the most studied astrophysical effects. This book covers the multitude of the Lidov-Kozai effect’s modern applications and its theory developments. It will be useful for researchers and students working in astrophysics, celestial mechanics, stellar dynamics, theoretical mechanics, space missions design, depending on the interests of the reader. The book is self-contained. It provides the full detailed coverage of the effect’s theory and applications. |

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### Contents

1 | |

2 Averaging and Normalization in Celestial Mechanics | 13 |

3 Classical Results | 27 |

4 The Theory Advances | 57 |

5 Understanding Irregular Satellites | 91 |

6 Sungrazing Comets | 105 |

7 Asteroids and Kuiper Belt Objects in Inclined Orbits | 117 |

8 The Role in Sculpting Exoplanetary Systems | 139 |

9 Applications in Stellar Dynamics | 161 |

A Basic Notations | 170 |

B Astronomical Constants and Parameters | 175 |

177 | |

189 | |

### Other editions - View all

The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical ... Ivan I. Shevchenko No preview available - 2017 |

The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical ... Ivan I Shevchenko No preview available - 2018 |

The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical ... Ivan Shevchenko No preview available - 2016 |

### Common terms and phrases

amplitude analytical angle angular momentum apocenter approximation argument of pericenter ascending node astrophysical averaged canonical celestial mechanics circular R3BP circumbinary comets constant coordinates corresponding defined Delaunay variables disk double-averaged eccentricity and inclination elliptic equations of motion Exoplanet flips formula Galactic tide giant planets given gravitational Hamiltonian hierarchical Hill sphere hot Jupiters imax initial conditions inner binary irregular Jacobi Jovian Kozai Kuiper belt libration Lidov Lidov-Kozai Effect LK-mechanism LK-oscillations LK-resonance longitude of ascending main belt main-belt asteroid mass mean anomaly mean motion resonance merger momenta moons Morbidelli Morbidelli 1996 Morbidelli 2002 mpert Murray and Dermott Naoz Neptune Oort cloud orbital elements outer binaries parameter parent star particle’s pendulum pericentric distance perturbing function planetary orbits precession quadrupole respectively satellites secular dynamics secular resonances semimajor axis separatrix Shevchenko sin2 Solar system stellar sungrazers Thomas and Morbidelli three-body problem tidal timescale transformation triple Uranus values Vashkovyak vector