The Construction of a Third Order Secular Analytical JSUN Theory by HoriLie Technique
Abstract
We construct the outline of a third order secular theory for the four major planets. We apply the HoriLie technique to solve the problem. We take into consideration both parts of the perturbing function. Our canonical variables are those of H. Poincaré. Our periodic terms are the only 2:5 and 1:2 critical terms of JS and UN respectively. Terms of degree higher than the second in the Poincaré canonical variables H, K, P, Q are neglected.
 Publication:

Earth Moon and Planets
 Pub Date:
 June 1990
 DOI:
 10.1007/BF00055180
 Bibcode:
 1990EM&P...49..259K
 Keywords:

 Jupiter (Planet);
 Neptune (Planet);
 Planetary Evolution;
 Poincare Problem;
 Saturn (Planet);
 Uranus (Planet);
 Analytic Functions;
 Astronomical Models;
 Canonical Forms;
 Lunar and Planetary Exploration