Theory of Mars rotation in Euler angles

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Angles (Geometry), Euler Equations Of Motion, Mars (Planet), Nutation, Orbit Perturbation, Planetary Rotation, Orbital Elements, Planetary Gravitation, Secular Variations, Solar Orbits, Mars, Rotation, Torque, Mathematical Models, Geometry, Parameters, Inclination, Orbits, Motion, Data, Physical Properties, Models, Gravitational Coefficients, Periods, Amplitudes, Spectrum, Precession, Nutation, Euler Angles

Scientific paper

The rotation of Mars is analyzed assuming rigid body motion, where the adopted variables are the Euler angles (psi, theta, phi) and the method is basically that of the variation of parameters, requiring the use of an absolute reference frame. The obliquity is found to oscillate with a period of 120,000 yr with an amplitude modulated by the dominant period of the inclination of the orbit, which is 1,170,000 yr; the maximum variation is about 20 deg.

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