General theory of the Jupiter-Saturn pair using an iterative method

Details General theory of the Jupiter-Saturn pair using an iterative method General theory of the Jupiter-Saturn pair using an iterative method

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...239..387b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 239, no. 1-2, Nov. 1990, p. 387-398. In French.

Astronomy and Astrophysics

Astrophysics

9

Celestial Mechanics, Iteration, Jupiter (Planet), Orbit Perturbation, Saturn (Planet), Secular Variations, Astrometry, Numerical Integration, Planetary Mass, Planetary Systems

Scientific paper

A general theory of the simplified sun-Jupiter-Saturn system is developed using an iterative method. Convergence difficulties encountered for the long-period terms of the semimajor axes of the two planets were resolved. The solution is compared to a numerical integration of the same system over 600,000 yr, and good agreement is found.

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