Secular effects in the translational and rotational motion of planets caused by their nonspherical nature

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbit Perturbation, Orbital Elements, Planetary Rotation, Secular Variations, Solar Orbits, Translational Motion, Equations Of Motion, Gravitational Effects, Spheres

Scientific paper

Estimates are made of the secular changes of angular orbital elements and the elements of rotational motion caused by nonspherical characteristics of planets. A solution is used of the equations averaged by Gauss' method for the model problem of an axisymmetric rigid body in the gravitational field of a homogeneous sphere. The largest orbital perturbations occur for Jupiter, and it is shown that as a result of a planet's nonspherical nature, the line of nodes of the orbit executes oscillatory motions on the standard plane of the ecliptic with the period of the planet's precessional motion.

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