Present obliquity oscillations of Mars - Fourth-order accuracy in orbital E and I

Physics

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Mars (Planet), Orbital Elements, Planetary Rotation, Precession, Solar Orbits, Axes Of Rotation, Eccentricity, Inclination, Oscillations, Planetary Evolution, Solar System, Obliquity, Oscillations, Mars, Moment Of Inertia, Orbits, Evolution, Eccentricity, Inclination, Spin

Scientific paper

A long period analysis of solar system orbital evolution, correct to fourth order in orbital eccentricities and inclinations (Bretagnon, 1974), and an improved value of the planet's moment of inertia (Reasenberg, 1977) have been incorporated in a recalculation of the obliquity oscillations of Mars. A linearized solution predicts a maximum oscillation amplitude of 13.6 deg centered on a long-term average value of 24.4 deg. A numerical integration of the obliquity for the past 10,000,000 years is also presented. Epochs of minimal oscillation like the present occur at intervals of the order of 4 m.y.

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