The rigid body obliquity history of Mars

Mathematics – Logic

Scientific paper

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Climate Change, Eccentricity, Mars (Planet), Planetary Orbits, Planetary Rotation, Precession, Astronomical Models, Numerical Integration, Perturbation, Secular Variations

Scientific paper

The variations in the obliquity of Mars are considered to be the likely source of major climatic variations on that planet. This paper explores the range of uncertainty in the obliquity history of Mars associated with the present uncertainty in the axial precession rate, applying three different analytic techniques. It is shown that, within the observationally allowed range of axial precession rates, there are some intervals where the obliquity history of Mars is only weakly dependent on the precession rate, and other intervals where the obliquity is very sensitively dependent on the precession rate. A very wide range of obliquity histories are possible, including some which involve resonance passages within the relatively recent past. It is estimated that obliquities as high as 51.4 deg or as low as 0.2 deg may have occurred within the last ten million years.

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