Third-order Jupiter-Saturn planetary theory

Details Third-order Jupiter-Saturn planetary theory Third-order Jupiter-Saturn planetary theory

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989em%26p...47...73k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 47, Oct. 1989, p. 73-89.

Physics

1

Jupiter (Planet), Orbit Perturbation, Saturn (Planet), Solar Orbits, Equations Of Motion, Hamiltonian Functions, Lie Groups, Secular Variations

Scientific paper

The construction of a third order Jupiter-Saturn (J-S) theory is presented, using the Hori theory of planetary perturbations. No critical J-S terms due to the 2:5 commensurabilities and its multiples exist, when the periodic terms of order 0, 1, 2 with respect to the eccentricity-inclination are taken into account. In this case, the Lie series transformation degenerates and is meaningles. The J-S equations of motion for secular perturbations are solved when the Poisson terms of degree greater than 2 are neglected in the Poincare canonical variables.

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