On the Perturbations of the Five Outer Planets by the Four Inner Ones

Details On the Perturbations of the Five Outer Planets by the Four Inner Ones On the Perturbations of the Five Outer Planets by the Four Inner Ones

Jul 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971cemec...3..478g&link_type=abstract

Celestial Mechanics, Volume 3, Issue 4, pp.478-490

Computer Science

Scientific paper

The expressions given by Clemence were checked by the comparison of numerical values of their second differentials with the numerical values of the perturbing forces. Agreement was good in most cases, save that the use of the second differentials unduly magnified some terms rightly neglected by Clemence. In the appendix the work of Clemence is compared with that of Carpenter and the differences are found to be all smaller than the contributions from the secular variation of the eccentricity, which are so small that they were neglected by Clemence. The differences can be removed by considering the secular variation of the eccentricity and by making a small adjustment in the integration constants.

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