The 'sidereal year' is the time taken for the
Sun to return to the same position with respect to the
stars of the
celestial sphere. It is the orbital period of
Earth, equal to 365.25636042
mean solar days (31,558,149.540
seconds), that is 366.25636042 earth rotations or
sidereal days. (A true cycle will always compare two objects that differ mathematically by exactly 1). The sidereal year is
20 minutes and
24 seconds longer than the
tropical year.
The Sun and the stars cannot be seen at the same time; if one looks every
dawn at the eastern sky, the last stars seen appearing are not always the same. In a week or two an upward shift can be noted. As an example, in July in the Northern Hemisphere,
Orion cannot be seen in the dawn sky, but in August it becomes visible. In a year, all the constellations rotate through the entire sky.
If one looks regularly at the sky before dawn, this motion is much more noticeable and easier to measure than the north/south shift of the sunrise point in the horizon, which defines the
tropical year on which the
Gregorian calendar is based. This is the reason many cultures started their year on the first day a particular special star, (
Sirius, for instance), could be seen in the East at dawn. In
Hesiod's ''
Works and Days'', the times of the year for sowing, harvest, and so on are given by reference to the first visibility of stars.
Up to the time of
Hipparchus, the years measured by the stars were thought to be exactly as long as the tropical years. In fact, sidereal years are very slightly longer than tropical years. The difference is caused by the
precession of the equinoxes. One sidereal year is roughly equal to 1 + 1/26000 or 1.000039 tropical years.
See also
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Orbital period
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Anomalistic year
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Gaussian year
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Julian year (astronomy)
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Tropical year