A synodic day (or synodic rotation period or solar day) is the rotation period for a celestial object to rotate once in relation to the star it is , and is the basis of solar time.
The synodic day is distinguished from the sidereal time, which is one complete rotation in relation to distant stars and is the basis of sidereal time.
In the case of a Tidal locking planet, the same side always faces its parent star, and its synodic day is infinite. Its sidereal day, however, is equal to its orbital period.
For Earth, the synodic day is not constant, and changes over the course of the year due to the eccentricity of Earth's orbit around the Sun and the axial tilt of the Earth. The longest and shortest synodic days' durations differ by about 51 seconds. The mean length, however, is 24 hours (with fluctuations on the order of ), and is the basis of solar time. The difference between the mean and apparent solar time is the equation of time, which can also be seen in Earth's analemma. Because of the variation in the length of the synodic day, the days with the longest and shortest period of daylight do not coincide with the near the equator.
As viewed from Earth during the year, the Sun appears to slowly drift along an imaginary path coplanarity with Earth's orbit, known as the ecliptic, on a celestial sphere of seemingly fixed stars. Each synodic day, this gradual motion is a little less than 1° eastward (360° per 365.25 days), in a manner known as prograde motion.
Certain spacecraft orbits, Sun-synchronous orbits, have that are a fraction of a synodic day. Combined with a nodal precession, this allows them to always pass over a location on Earth's surface at the same mean solar time.
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