Computer Science
Scientific paper
Feb 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982m%26p....26...47k&link_type=abstract
Moon and the Planets, vol. 26, Feb. 1982, p. 47-60.
Computer Science
1
Gas Giant Planets, Orbit Perturbation, Perturbation Theory, Planetary Mass, Secular Variations, Von Zeipel Method, Disturbing Functions, Eccentricity, Hamiltonian Functions, Kepler Laws, Orbital Elements, Planetology, Solar System, Taylor Series
Scientific paper
A third-order general planetary theory established through Von Zeipel's method and in terms of Poincare's canonical variables is reviewed. The system consists of the sun as the primary body, with one disturbed planet and a disturbing planet, and the main principle of the theory is the separation of short-period, long-period, and very long-period terms. It is shown that the first-, second-, and third-order components of the generating function are particular solutions of a first-order linear partial differential equation, and the first-, second-, and third-order portion of the Hamiltonian can be calculated from the acquired first-, second-, and third-order parts of the main and indirect portion of the disturbing functions. The coordinates are defined with respect to the Jacobi-Radau reference frame, and express the theory in terms of the Poincare canonical variables.
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