Sidereal year: Difference between revisions

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{{Use mdy dates|date=April 2022}}
{{Short description|Time taken by the Earth to orbit the Sun once with respect to the fixed stars}}
{{Short description|Time taken by the Earth to orbit the Sun once with respect to the fixed stars}}
{{Use mdy dates|date=October 2025|cs1-dates=ll}}


A '''sidereal year''' ({{IPAc-en|s|aɪ|ˈ|d|ɪər|i|.|əl}}, {{IPAc-en|USalso|s|ɪ|-}}; {{etymology|la|{{wikt-lang|la|sidus}}|asterism, star}}), also called a '''sidereal orbital period''', is the time that [[Earth]] or another [[planetary-mass object|planetary body]] takes to orbit the [[Sun]] once with respect to the [[fixed stars]].
A '''sidereal year''' ({{IPAc-en|s|aɪ|ˈ|d|ɪər|i|.|əl}}, {{IPAc-en|USalso|s|ɪ|-}}; {{etymology|la|{{wikt-lang|la|sidus}}|asterism, star}}), also called a '''sidereal orbital period''', is the time that [[Earth]] or another [[planetary-mass object|planetary body]] takes to orbit the [[Sun]] once with respect to the [[fixed stars]].
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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]].
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]].


It equals {{Nowrap|{{val|365.256363004}} [[ephemeris day]]s}} for the [[Epoch (astronomy)#Julian years and J2000 |J2000.0]] epoch,{{Sfn|IERS|2014}} or a little over 366 [[Sidereal time|sidereal days]]. The sidereal year differs from the [[solar year]], "the period of time required for the ecliptic longitude of the Sun to increase 360 degrees",{{Sfn|AA|2016}} due to the [[Axial precession|precession of the equinoxes]].
In 2025 the sidereal year equals {{Nowrap|{{val|365.256363}} [[ephemeris day]]s}} (365 days, 6 hours, 9 minutes and 9.8 seconds).{{Sfn|AA|2024|pp=C2, L9}}
The sidereal year is 20 min 24.5 s longer than the mean tropical year at J2000.0 {{Nowrap|({{val|365.242190402}} ephemeris days)}}.{{Sfn|IERS|2014}}


At present, the rate of [[axial precession]] corresponds to a period of 25,772 years,<ref>[http://syrte.obspm.fr/iau2006/aa03_412_P03.pdf N. Capitaine ''et al.'' 2003], p. 581 expression 39</ref> so sidereal year is longer than [[tropical year]] by 1,224.5 seconds (20 min 24.5 s, ~365.24219*86400/25772).
The sidereal year differs from the [[tropical year]], "the period of time required for the ecliptic longitude of the Sun to increase 360 degrees",{{Sfn|AA|2016|loc=s.v. year, tropical}} due to the [[Axial precession|precession of the equinoxes]].
The sidereal year is 20&nbsp;min 24.7&nbsp;s longer than the mean tropical year {{Nowrap|({{val|365.242189}} ephemeris days)}}, or 365 days, 5 hours, 48 minutes, 45.1 seconds.{{Sfn|AA|2024|pp=C2, L9}}
 
Ancient Egypt was aware their year and the sidereal year differed, and developed the [[Sothic cycle]] in the second millennium BC, the cycle 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.<ref>{{Cite web |date=March 3, 2025 |title=Why Sothic Dates Are Crucial to Egyptian Chronology (But Not as Traditionally Understood) – Synchronologies |url=https://synchronologies.com/2025/03/03/why-sothic-dates-are-crucial-to-egyptian-chronology-but-not-as-traditionally-understood/ |access-date=August 9, 2025 |language=en-US}}</ref>


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.<ref>{{Cite web| last = Stern| first = David P.| title = Precession| work = NASA's Polar, Wind and Geotail Site| accessdate = April 25, 2022| date = October 10, 2016| url = https://pwg.gsfc.nasa.gov/stargaze/Sprecess.htm}}</ref>
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.<ref>{{Cite web| last = Stern| first = David P.| title = Precession| work = NASA's Polar, Wind and Geotail Site| accessdate = April 25, 2022| date = October 10, 2016| url = https://pwg.gsfc.nasa.gov/stargaze/Sprecess.htm}}</ref>
For naked-eye observation, the shift of the constellations relative to the equinoxes only becomes apparent over centuries or "[[Astrological age|ages]]", and 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.{{Citation needed|date=August 2020}}
For naked-eye observation, the shift of the constellations relative to the equinoxes only becomes apparent over centuries or "[[Astrological age|ages]]", and 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.{{Citation needed|date=August 2020}}
The [[Indian national calendar]], based on the works of [[Maga Brahmin]]s, as are the calendars of neighbouring countries, is traditionally reckoned by the Sun's entry into the sign of [[Aries (astrology)|Aries]] and is also supposed to align with the spring equinox and have relevance to the harvesting and planting season and thus the tropical year.{{Citation needed|date=August 2020}}
 
However, as the entry into the constellation occurs 25 days later, according to the astronomical calculation of the sidereal year, this date marks the  [[South and Southeast Asian solar New Year]] in other countries and cultures {{Citation needed|date=August 2020}}
==Historic estimates==
Historic estimates have been offered by the likes of:<ref>{{Cite book |last=Barnett |first=Lionel D. |url=https://books.google.com/books?id=LnoREHdzxt8C&pg=PA193 |title=Antiquities of India: An Account of the History and Culture of Ancient Hindustan |date=April 30, 1999 |publisher=Atlantic Publishers & Dist |isbn=978-81-7156-442-2 |language=en}}</ref><ref>{{Cite web |title=Hipparchus - Biography |url=https://mathshistory.st-andrews.ac.uk/Biographies/Hipparchus/ |access-date=August 4, 2025 |website=Maths History |language=en}}</ref>
* Egyptian Sothic (c. 1800 BC) - 365 days, 6 hours
* [[Hipparchus]] (c. 190 – c. 120 BC) - 365 + {{sfrac|1|4}} + {{sfrac|1|144}} days (= 365.25694... days = 365&nbsp;days 6&nbsp;hours 10&nbsp;min).
* [[Paulisa Siddhanta]] (c. 300 AD) - 365 days, 6 hours, 12 minutes, 36 seconds.
* [[Romaka Siddhanta]] (c. 300 AD) - 365 days, 5 hours, 55 minutes, 12 seconds (tropical year).
* [[Surya Siddhanta]] (c. 500-800 AD) - 365 days, 6 hours, 12 minutes, 30.36.56 seconds.
* [[Aryabhatiya]] (c. 510 AD) - 365 days, 6 hours, 12 minutes, 30 seconds.
* [[Rājamṛgāṅka (Ayurveda book) |Rājamṛgāṅka]] (c. 1050 AD) - 365 days, 6 hours, 12 minutes, 30.915 seconds.


== See also ==
== See also ==
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== Works cited ==
== Works cited ==
*{{Cite book |title=Astronomical Almanac for the Year 2025 |date=2024 |publisher=[[United States Naval Observatory]], HM Nautical Almanac Office |location=Washington, D.C., and Taunton |ref={{SfnRef|AA|2024}} }}
*{{Cite book |title=Astronomical Almanac for the Year 2017 |date=2016 |chapter=Glossary |page=M19 |publisher=[[United States Naval Observatory]], HM Nautical Almanac Office |location=Washington, D.C., and London |ref={{SfnRef|AA|2016}}}}
*{{Cite book |title=Astronomical Almanac for the Year 2017 |date=2016 |chapter=Glossary |page=M19 |publisher=[[United States Naval Observatory]], HM Nautical Almanac Office |location=Washington, D.C., and London |ref={{SfnRef|AA|2016}}}}
*{{Cite web | title=Useful Constants | access-date=February 29, 2020 | url=https://hpiers.obspm.fr/eop-pc/models/constants.html | date=February 13, 2014 | publisher=International Earth rotation and Reference systems Service (IERS) | ref={{SfnRef|IERS|2014}}}}


{{Time topics}}
{{Time topics}}

Latest revision as of 20:06, 11 November 2025

Template:Short description Template:Use mdy dates

A sidereal year (Template:IPAc-en, Template:IPAc-en; Template:Etymology), 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 Template:Val ephemeris days (365 days, 6 hours, 9 minutes and 9.8 seconds).Template:Sfn

The sidereal year differs from the tropical year, "the period of time required for the ecliptic longitude of the Sun to increase 360 degrees",Template:Sfn due to the precession of the equinoxes. The sidereal year is 20 min 24.7 s longer than the mean tropical year (Template:Val ephemeris days), or 365 days, 5 hours, 48 minutes, 45.1 seconds.Template:Sfn

Ancient Egypt was aware their year and the sidereal year differed, and developed the Sothic cycle in the second millennium BC, the cycle 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.[1]

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.[2] For naked-eye observation, the shift of the constellations relative to the equinoxes only becomes apparent over centuries or "ages", and 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.Script error: No such module "Unsubst".

Historic estimates

Historic estimates have been offered by the likes of:[3][4]

  • Egyptian Sothic (c. 1800 BC) - 365 days, 6 hours
  • Hipparchus (c. 190 – c. 120 BC) - 365 + Template:Sfrac + Template:Sfrac days (= 365.25694... days = 365 days 6 hours 10 min).
  • Paulisa Siddhanta (c. 300 AD) - 365 days, 6 hours, 12 minutes, 36 seconds.
  • Romaka Siddhanta (c. 300 AD) - 365 days, 5 hours, 55 minutes, 12 seconds (tropical year).
  • Surya Siddhanta (c. 500-800 AD) - 365 days, 6 hours, 12 minutes, 30.36.56 seconds.
  • Aryabhatiya (c. 510 AD) - 365 days, 6 hours, 12 minutes, 30 seconds.
  • Rājamṛgāṅka (c. 1050 AD) - 365 days, 6 hours, 12 minutes, 30.915 seconds.

See also

Template:Sister project

Notes

Template:Reflist

Works cited

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Template:Time topics Template:Time measurement and standards Template:Portal bar

ru:Сидерический год

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