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From Wikipedia, the free encyclopedia. Diurnal motion (Latin diurnus â²dailyâ², from dies â²dayâ²) is an astronomical term referring to the apparent daily motion of stars around the Earth, or more precisely around the two celestial poles.
The motion is simple harmonic motion where Î¸ 0 is the semi-amplitude of the oscillation (that is, the maximum angle between the rod of the pendulum and the vertical). The period of the motion, the time for a complete oscillation (outward and return) is. which is known as Christiaan Huygens 's law for the period.). where is the complete elliptic integral of the first kind defined by. For comparison of the approximation to the full solution, consider the period of a pendulum of length 1 m on Earth (g = 9.80665 m/s 2) at initial angle 10 degrees is.