Sidereal year
A sidereal year, also called a sidereal orbital period, is the time that Earth or another planetary body takes to orbit the Sun once with respect to the fixed stars.
Hence, for Earth, it is also the time taken for the Sun to return to the same position relative to Earth with respect to the fixed stars after apparently travelling once around the ecliptic.
In 2025, the sidereal year equals .
The sidereal year differs from the tropical year, "the period of time required for the ecliptic longitude of the Sun to increase 360 degrees", due to the precession of the equinoxes. The sidereal year is 20 min 24.7 s longer than the mean tropical year, or 365 days, 5 hours, 48 minutes, 45.1 seconds.
Ancient Egypt was aware their year and the sidereal year differed. This led to their development of the Sothic cycle in the second millennium BC that completed on the heliacal rising of the star Sirius on the new year, which offers a pseudo-sidereal year of just over 365 days and 6 hours.
Before the discovery of the precession of the equinoxes by Hipparchus in the Hellenistic period, the difference between sidereal and tropical year was unknown to the Greeks. For naked-eye observation, the shift of the constellations relative to the equinoxes only becomes apparent over centuries or "ages", so pre-modern calendars, such as Hesiod's Works and Days, would give the times of the year for sowing, harvest, and so on by reference to the first visibility of stars, effectively using the sidereal year.
Historic estimates
Historic estimates have been offered by the likes of:- Egyptian Sothic - 365 days, 6 hours
- Hipparchus - 365 + + days.
- Paulisa Siddhanta - 365 days, 6 hours, 12 minutes, 36 seconds.
- Romaka Siddhanta - 365 days, 5 hours, 55 minutes, 12 seconds.
- Surya Siddhanta - 365 days, 6 hours, 12 minutes, 30.36.56 seconds.
- Aryabhatiya - 365 days, 6 hours, 12 minutes, 30 seconds.
- Rājamṛgāṅka - 365 days, 6 hours, 12 minutes, 30.915 seconds.