First-order secular planetary theory up to fourth power in eccentricities and inclinations

Details First-order secular planetary theory up to fourth power in eccentricities and inclinations First-order secular planetary theory up to fourth power in eccentricities and inclinations

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..64..227k&link_type=abstract

Astrophysics and Space Science, vol. 64, no. 1, Aug. 1979, p. 227-238.

Astronomy and Astrophysics

Astrophysics

5

Celestial Mechanics, Planets, Secular Variations, Solar System, Approximation, Disturbing Functions, Elliptical Orbits, Equations Of Motion, Orbital Elements, Planetary Mass, Poincare Problem

Scientific paper

We construct a first-order secular general planetary theory, using the
Jacobi-Radau set of origins, referring to common fixed plane and in
terms of Poincaré canonical variables. We neglect powers
higher than the fourth with respect to the eccentricities and sines of
inclinations

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