Application of Hori Technique in General Planetary Theory
Abstract
We explain how the first step of HoriLie procedure is applied in general planetary theory to eliminate shortperiod terms. We extend the investigation to the thirdorder planetary theory. We solved the canonical equations of motion for secular and periodic perturbations by this method, and obtained the first integrals of the system of canonical equations. Also we showed the relation between the determining function in the sense of Hori and the determining function in the sense of Von Zeipel.
 Publication:

Earth Moon and Planets
 Pub Date:
 March 1989
 DOI:
 10.1007/BF00054243
 Bibcode:
 1989EM&P...44..275K
 Keywords:

 Canonical Forms;
 Celestial Mechanics;
 Computational Astrophysics;
 Planetology;
 Hamiltonian Functions;
 Lie Groups;
 Orbital Mechanics;
 Perturbation Theory;
 Secular Variations;
 Astrophysics