Secular perturbations in general planetary theory

Details Secular perturbations in general planetary theory Secular perturbations in general planetary theory

Feb 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11..131b&link_type=abstract

Celestial Mechanics, vol. 11, Feb. 1975, p. 131-138.

Computer Science

Numerical Analysis

6

Numerical Analysis, Orbit Perturbation, Planetary Mass, Secular Variations, Solar Orbits, Algorithms, Eccentric Orbits, Orbit Calculation, Perturbation Theory, Polynomials, Power Series

Scientific paper

The secular perturbations in the motions of the eight major planets (excluding Pluto) are derived in polynomial form, based on the general planetary theory of Brumberg and Chapront. The second-order linear terms relating to the planetary masses and the first-order nonlinear terms to within the fifth (and partly seventh) power, inclusive, relating to eccentricities and inclinations are taken into account in the right-hand terms of the secular system. The calculations were carried out on a computer with the help of a system of analytical operations on power series with complex coefficients.

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