Analytical Solution of the Kozai Resonance and its Application

@article{Kinoshita1999AnalyticalSO,
  title={Analytical Solution of the Kozai Resonance and its Application},
  author={Hiroshi Kinoshita and Hiroshi Nakai},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={1999},
  volume={75},
  pages={125-147}
}
When Kozai (1962) studied the secular resonance of asteroids, he found the so-called Kozai resonance and expressed the analytical solution with the use of Weierstrass ℘. Here we discuss the case where the disturber is outside a disturbed body and give the analytical solution of the eccentricity, the inclination and the argument of pericenter with the use of the Jacobi elliptic functions, which are more familiar than the Weierstrass ℘. Then we derive the Fourier expansion of the longitude of… CONTINUE READING

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