Third-order Uranus-Neptune theory. III - Determination of new Hamiltonian and determining function

Details Third-order Uranus-Neptune theory. III - Determination of new Hamiltonian and determining function Third-order Uranus-Neptune theory. III - Determination of new Hamiltonian and determining function

Jul 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988em%26p...42...77b&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 42, July 1988, p. 77-106.

Computer Science

1

Disturbing Functions, Hamiltonian Functions, Neptune (Planet), Uranus (Planet), Canonical Forms, Laplace Equation, Lie Groups, Poisson Equation

Scientific paper

The full expressions for the principal part of the determining function and the new Hamiltonian are obtained for the first, second, and third order of the third-order Uranus-Neptune planetary theory. The Poisson brackets in the Lie series for the transformation of canonical variables is computed. The Hori-Lie technique is used in the calculations, neglecting all powers higher than the second in the Poincare variables H, K, P, and Q.

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