A sidereal period is the time it takes a celestial body such as a planet to complete an orbit, as measured against the background of the fixed stars. Sidereal months (the time it takes the Moon to complete an orbit) and sidereal years (the time it takes Earth to complete an orbit) are examples of sidereal periods.
the time required for a celestial body, such as a planet or satellite, to complete one revolution around its primary, with respect to the stars. In the case of the revolution of the moon around the earth, the sidereal period is known as the sidereal month; in the case of the revolution of the earth around the sun, the sidereal period is the sidereal year. The concept of sidereal period is also applied to the revolution of artificial satellites around the earth. As for bodies that revolve around the sun, we speak not only of the sidereal periods of planets but also of, for example, the sidereal periods of comets. The relation between a planet’s sidereal period T, its synodic period S, and the sidereal year E is given by the equation
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for the superior planets and by the equation
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for the inferior planets.