The study of planetary secular perturbations

Computer Science – Numerical Analysis

Scientific paper

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Attitude (Inclination), Eccentric Orbits, Orbit Perturbation, Planetary Evolution, Secular Variations, Solar Orbits, Inequalities, Numerical Analysis, Orbital Mechanics, Planets

Scientific paper

The classical method and the Gaussian method for deriving secular inequalities are discussed and compared. It is found that the Gaussian method is more accurate, especially in the case of orbits with moderate or large eccentricities and inclinations. A practical form of calculation is derived based on the Gaussian method, and the orbital evolution of the planets is investigated numerically, taking their mutual secular orbits into account. The variation of the elements of the major planets is plotted.

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