The Construction of a Third Order Secular Analytical J-S-U-N Theory by Hori-Lie Technique Part IV: Derivation of secular perturbation equations and its solution
Abstract
In this part we find out the 24 equations of secular perturbation equations for the subsystem J-S-U-N. The solution of these equations by the Lagrange-Laplace procedure and the Eigen value Eigen vector is analysed. Also we refer to Hurwitz theorem to test stability.
- Publication:
-
Earth Moon and Planets
- Pub Date:
- January 1994
- DOI:
- 10.1007/BF00644894
- Bibcode:
- 1994EM&P...65...97K
- Keywords:
-
- Jupiter (Planet);
- Long Term Effects;
- Neptune (Planet);
- Orbit Calculation;
- Orbit Perturbation;
- Perturbation Theory;
- Planetary Orbits;
- Saturn (Planet);
- Uranus (Planet);
- Eigenvalues;
- Eigenvectors;
- Euler-Lagrange Equation;
- Stability;
- Test Stability;
- Perturbation Equation;
- Secular Perturbation