A second order Jupiter-Saturn planetary theory. I

Details A second order Jupiter-Saturn planetary theory. I A second order Jupiter-Saturn planetary theory. I

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982m%26p....27..417k&link_type=abstract

Moon and the Planets, vol. 27, Dec. 1982, p. 417-430.

Computer Science

4

Jupiter (Planet), Orbit Perturbation, Perturbation Theory, Planetology, Saturn (Planet), Canonical Forms, Partial Differential Equations, Poincare Problem, Von Zeipel Method

Scientific paper

Poincare's canonical variables, von Zeipel's method, and the Jacoby-Radau referential, are employed in the present second-order secular Jupiter-Saturn planetary theory, whose expansions neglect power terms higher than the fourth with respect to eccentricities and sines of inclinations. It is assumed that the disturbing function is composed of secular and critical terms only. F(2si) is derived, and F(2s) is written, in terms of Poincare's canonical variables.

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