Representations of perturbations of the giant planets induced by Pluto

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gas Giant Planets, Orbit Perturbation, Planetary Gravitation, Pluto (Planet), Differential Equations, Jupiter (Planet), Neptune (Planet), Polynomials, Saturn (Planet), Uranus (Planet), Pluto, Planets, Perturbations, Mathematical Models, Data, Neptune-Pluto System

Scientific paper

The paper develops a method for calculating the perturbing effects of Pluto on the elements of the giant planets: perturbations induced by Pluto are expanded in Chebyshev series. These representations are added to the elements of the giant planets calculated by a planetary theory without Pluto and thus give the value of the elements in the presence of Pluto. Two objectives are accomplished with this method: (1) the form of perturbations of the giant planets by Pluto can be calculated for a 500-year period, and (2) the theory without Pluto is improved.

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