Precessing of the Earth It's been known that the Earth's axial tilt varies from 22.5 to 24.5. Does this result in a wobbling while the value of the tilt varies about these two limits? If so, how does it affect the mechanics of the Earth's movement (its rotation and revolution about the Sun)?
The Wikipedia Precession article explains this.

Precession of the Earth's axis is caused mainly by the Sun's gravity acting on the oblate spheriod of the Earth. The Earth bulges at the equator and the force of the Sun's gravity on the bulge makes the axis wobble like a child's spinning top - the axis traces out a cone shape in space. It has no effect on the Earth's orbit. 

Perihelion precession is caused by the gravity of Jupiter and the other outer planets.