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Axial parallelism is widely observed in astronomy. For example, the axial parallelism of the Moon's orbital plane [8] is a key factor in the phenomenon of eclipses. The Moon's orbital axis precesses a full circle during the 18 year, 10 day saros cycle. When the Moon's orbital tilt is aligned with the ecliptic tilt, it is 29 degrees from the ...
Parallelism may refer to: Angle of parallelism , in hyperbolic geometry, the angle at one vertex of a right hyperbolic triangle that has two hyperparallel sides Axial parallelism , a type of motion characteristic of a gyroscope and astronomical bodies
Axial precession is similar to the precession of a spinning top. In both cases, the applied force is due to gravity. For a spinning top, this force tends to be almost parallel to the rotation axis initially and increases as the top slows down. For a gyroscope on a stand it can approach 90 degrees.
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Desargues' theorem states that a central couple of triangles is axial. The converse statement, that an axial couple of triangles is central, is equivalent (either can be used to prove the other). Desargues' theorem can be proved in the real projective plane, and with suitable modifications for special cases, in the Euclidean plane.
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Since the Moon's axial tilt is only 1.5° with respect to the ecliptic (the plane of Earth's orbit around the Sun), this effect is small. Once every 18.6 years, [ 1 ] the lunar north pole describes a small circle around a point in the constellation Draco , while correspondingly, the lunar south pole describes a small circle around a point in ...
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