Solstice
UTC date and time of solstices and equinoxes[1]
year Equinox
Mar
Solstice
June
Equinox
Sept
Solstice
Dec
day time day time day time day time
2004 20 06:49 21 00:57 22 16:30 21 12:42
2005 20 12:33 21 06:46 22 22:23 21 18:35
2006 20 18:26 21 12:26 23 04:03 22 00:22
2007 21 00:07 21 18:06 23 09:51 22 06:08
2008 20 05:48 20 23:59 22 15:44 21 12:04
2009 20 11:44 21 05:45 22 21:18 21 17:47
2010 20 17:32 21 11:28 23 03:09 21 23:38
2011 20 23:21 21 17:16 23 09:04 22 05:30
2012 20 05:14 20 23:09 22 14:49 21 11:11
2013 20 11:02 21 05:04 22 20:44 21 17:11
2014 20 16:57 21 10:51 23 02:29 21 23:03
2015 20 22:45 21 16:38 23 08:20 22 04:48
2016 20 04:30 20 22:34 22 14:21 21 10:44
2017 20 10:28 21 04:24 22 20:02 21 16:28

A solstice is an astronomical event that happens twice each year when the Sun's apparent position in the sky, as viewed from Earth, reaches its northernmost or southernmost extremes. The name is derived from the Latin sol (sun) and sistere (to stand still), because at the solstices, the Sun stands still in declination; that is, the apparent movement of the Sun's path north or south comes to a stop before reversing direction.

The term solstice can also be used in a broader sense, as the date (day) when this occurs. The solstices, together with the equinoxes, are connected with the seasons. In some cultures they are considered to start or separate the seasons, while in others they fall nearer the middle.

Contents

Definitions and frames of reference

Of the many ways in which solstice can be defined, one of the most common (and perhaps most easily understood) is by the astronomical phenomenon for which it is named, which is readily observable by anyone on Earth: a "sun-standing." This modern scientific word descends from a Latin scientific word in use in the late Roman republic of the 1st century BC: solstitium. Pliny uses it a number of times in his Natural History with the same meaning that it has today. It contains two Latin-language morphemes, sol, "sun", and -stitium, "stoppage."[2] The Romans used "standing" to refer to a component of the relative velocity of the Sun as it is observed in the sky. Relative velocity is the motion of an object from the point of view of an observer in a frame of reference. From a fixed position on the ground, the sun appears to orbit around the Earth.[3]

To an observer in an inertial frame of reference, the planet Earth is seen to rotate about an axis and revolve around the Sun in an elliptical path with the Sun at one focus. The Earth's axis is tilted with respect to the plane of the Earth's orbit and this axis maintains a position that changes little with respect to the background of stars. An observer on Earth therefore sees a solar path that is the result of both rotation and revolution.

The component of the Sun's motion seen by an earthbound observer caused by the revolution of the tilted axis – which, keeping the same angle in space, is oriented toward or away from the Sun – is an observed daily increment (and lateral offset) of the elevation of the Sun at noon for approximately six months and observed daily decrement for the remaining six months. At maximum or minimum elevation, the relative yearly motion of the Sun perpendicular to the horizon stops and reverses direction.

The maximum elevation occurs at the summer solstice and the minimum at the winter solstice. The path of the Sun, or ecliptic, sweeps north and south between the northern and southern hemispheres. The days are longer around the summer solstice and shorter around the winter solstice. When the Sun's path crosses the equator, the length of the nights at latitudes +L° and -L° are of equal length. This is known as an equinox. There are two solstices and two equinoxes in a tropical year.[4]

Heliocentric view of the seasons

The cause of the seasons is that the Earth's axis of rotation is not perpendicular to its orbital plane (the flat plane made through the center of mass (barycenter) of the solar system (near or within the Sun) and the successive locations of Earth during the year), but currently makes an angle of about 23.44° (called the "obliquity of the ecliptic"), and that the axis keeps its orientation with respect to an inertial frame of reference. As a consequence, for half the year (from around 20 March to 22 September) the Northern Hemisphere is inclined toward the Sun, with the maximum around 21 June, while for the other half year the Southern Hemisphere has this distinction, with the maximum around 21 December. The two moments when the inclination of Earth's rotational axis has maximum effect are the solstices.

The table at the top of the article gives the instances of equinoxes and solstices over several years. Refer to the equinox article for some remarks.

At the Northern Solstice the subsolar point reaches to 23.44° north, known as the Tropic of Cancer. Likewise at the Southern Solstice the same thing happens for latitude 23.44° south, known as the Tropic of Capricorn. The sub-solar point will cross every latitude between these two extremes exactly twice per year.

Also during the Northern Solstice, places on the Arctic Circle (latitude 66.56° north) will see the Sun just on the horizon during midnight, and all places north of it will see the Sun above horizon for 24 hours. That is the midnight sun or midsummer-night sun or polar day. On the other hand, places on the Antarctic Circle (latitude 66.56° south) will see the Sun just on the horizon during midday, and all places south of it will not see the Sun above horizon at any time of the day. That is the polar night. During the Southern Solstice, the effects on both hemispheres are just the opposite.

At the temperate latitudes, during summer the Sun remains longer and higher above the horizon, while in winter it remains shorter and lower. This is the cause of summer heat and winter cold.

The seasons are not caused by the varying distance of Earth from the Sun due to the orbital eccentricity of the Earth's orbit. This variation does make a contribution, but is small compared with the effects of exposure because of Earth's tilt. Currently the Earth reaches perihelion at the beginning of January – during the northern winter and the southern summer. Although the Earth is at its closest to the Sun and therefore receiving more heat, the whole planet is not in summer. Although it is true that the northern winter is somewhat warmer than the southern winter, the placement of the continents may also play an important factor. In the same way, during aphelion at the beginning of July, the Sun is farther away, but that still leaves the northern summer and southern winter as they are with only minor effects.

Over thousands of years, the Earth's axial tilt and orbital eccentricity vary (see Milankovitch cycles). Thus, ten thousand years from now Earth's northern winter will occur at aphelion and northern summer at perihelion. The severity of seasonal change—the average temperature difference between summer and winter in location—will also change over time because the Earth's axial tilt fluctuates between 22.1 and 24.5 degrees.

Geocentric view of the seasons

The explanation given in the previous section is useful for observers in outer space. They would see how the Earth revolves around the Sun and how the distribution of sunlight on the planet would change over the year. To observers on Earth, it is also useful to see how the Sun seems to revolve around them. These pictures show such a perspective as follows. They show the day arcs of the Sun, the paths the Sun tracks along the celestial dome in its diurnal movement. The pictures show this for every hour on both solstice days. The longer arc is always the summer track and the shorter one the winter track. The two tracks are at a distance of 46.88° (2 × 23.44°) away from each other.

In addition, some 'ghost' suns are indicated below the horizon, as much as 18° down. The Sun in this area causes twilight. The pictures can be used for both the northern and southern hemispheres. The observer is supposed to sit near the tree on the island in the middle of the ocean. The green arrows give the cardinal directions.

  • On the northern hemisphere the north is to the left, the Sun rises in the east (far arrow), culminates in the south (to the right) while moving to the right and sets in the west (near arrow). Both rise and set positions are displaced towards the north in summer, and towards the south for the winter track.
  • On the southern hemisphere the south is to the left, the Sun rises in the east (near arrow), culminates in the north (to the right) while moving to the left and sets in the west (far arrow). Both rise and set positions are displaced towards the south in summer, and towards the north for the winter track.

The following special cases are depicted.

  • On the equator the Sun is not overhead every day, as some people think. In fact that happens only on two days of the year, the equinoxes. The solstices are the dates that the Sun stays farthest away from the zenith, only reaching an altitude of 66.56° either to the north or the south. The only thing special about the equator is that all days of the year, solstices included, have roughly the same length of about 12 hours, so that it makes no sense to talk about summer and winter. Instead, tropical areas often have wet and dry seasons.
  • The day arcs at 20° latitude. The Sun culminates at 46.56° altitude in winter and 93.44° altitude in summer. In this case an angle larger than 90° means that the culmination takes place at an altitude of 86.56° in the opposite cardinal direction. For example in the southern hemisphere, the Sun remains in the north during winter, but can reach over the zenith to the south in midsummer. Summer days are longer than winter days, but the difference is no more than two or three hours. The daily path of the Sun is steep at the horizon the whole year round, resulting in a twilight of only about one hour.
  • The day arcs at 50° latitude. The winter Sun does not rise more than 16.56° above the horizon at midday, and 63.44° in summer above the same horizon direction. The difference in the length of the day between summer and winter is striking – slightly less than 8 hours at midwinter, to slightly more than 16 hours in midsummer. Likewise is the difference in direction of sunrise and sunset. Also note the steepness of the daily path of the Sun above the horizon. It is much shallower than at 20° latitude. Therefore not only is the Sun not reaching as high, it also seems not to be in a hurry to do so. But conversely this means that the Sun is not in a hurry to dip deeply below the horizon at night. At this latitude at midnight the summer sun is only 16.56° below the horizon, which means that astronomical twilight continues the whole night. This phenomenon is known as the grey nights, nights when it does not get dark enough for astronomers to do their observations. Above 60° latitude the Sun would be even closer to the horizon, only 6.56° away from it. Then civil twilight continues the whole night. This phenomenon is known as the white nights. And above 66.56° latitude, of course, one would get the midnight sun.
  • The day arcs at 70° latitude. At local noon the winter Sun culminates at −3.44°, and the summer Sun at 43.44°. Said another way, during the winter the Sun does not rise above the horizon, it is the polar night. There will be still a strong twilight though. At local midnight the summer Sun culminates at 3.44°, said another way, it does not set, it is the polar day.
  • The day arcs at the pole. At the time of the summer or winter solstices, the Sun is 23.44° degrees above or below the horizon respectively, irrespective of time of day. Whilst the Sun is up (during summer months) it will circle around the whole sky, appearing to stay at the same angle from the horizon, therefore the concept of day or night is meaningless. The angle of elevation will gradually change on an annual cycle, with the Sun reaching its highest point at the summer Solstice, and rising or setting at the Equinox, with extended periods of twilight lasting several days after the autumn equinox and before the spring equinox.

Cultural aspects

Ancient Greek names and concepts

The concept of the solstices was embedded in ancient Greek celestial navigation. As soon as they discovered that the Earth is spherical[5] they devised the concept of the celestial sphere,[6] an imaginary spherical surface rotating with the heavenly bodies (ouranioi) fixed in it (the modern one does not rotate, but the stars in it do). As long as no assumptions are made concerning the distances of those bodies from Earth or from each other, the sphere can be accepted as real and is in fact still in use.

The stars move across the inner surface of the celestial sphere along the circumferences of circles in parallel planes[7] perpendicular to the Earth's axis extended indefinitely into the heavens and intersecting the celestial sphere in a celestial pole.[8] The Sun and the planets do not move in these parallel paths but along another circle, the ecliptic, whose plane is at an angle, the obliquity of the ecliptic, to the axis, bringing the Sun and planets across the paths of and in among the stars.*

Cleomedes states:[9]

The band of the Zodiac (zōdiakos kuklos, "zodiacal circle") is at an oblique angle (loksos) because it is positioned between the tropical circles and equinoctial circle touching each of the tropical circles at one point … This Zodiac has a determinable width (set at 8° today) … that is why it is described by three circles: the central one is called "heliacal" (hēliakos, "of the sun").

The term heliacal circle is used for the ecliptic, which is in the center of the zodiacal circle, conceived as a band including the noted constellations named on mythical themes. Other authors use Zodiac to mean ecliptic, which first appears in a gloss of unknown author in a passage of Cleomedes where he is explaining that the Moon is in the zodiacal circle as well and periodically crosses the path of the Sun. As some of these crossings represent eclipses of the Moon, the path of the Sun is given a synonym, the ekleiptikos (kuklos) from ekleipsis, "eclipse".

English names

The two solstices can be distinguished by different pairs of names, depending on which feature one wants to stress.

  • Summer Solstice and Winter Solstice are the most common names but in the United Kingdom, the terms longest day and shortest day are more common. However, these can be ambiguous since seasons of the northern hemisphere and southern hemisphere are opposites, and the summer solstice of one hemisphere is the winter solstice of the other.
  • Northern Solstice and Southern Solstice indicate the direction of the Sun's apparent movement.[10] The northern solstice is in June on Earth, when the Sun is directly over the Tropic of Cancer in the Northern Hemisphere, and the southern solstice is in December, when the Sun is directly over the Tropic of Capricorn in the Southern Hemisphere.[11]
  • June Solstice and December Solstice are an alternative to the more common "summer" and "winter" terms,[12] but without the ambiguity as to which hemisphere is the context. They are still not universal, however, as not all people use a solar-based calendar where the solstices occur every year in the same month (as they do not in the Islamic Calendar and Hebrew calendar, for example), and the names are not useful for other planets (Mars, for example), even though these planets do have seasons.
  • First point of Cancer and first point of Capricorn.[13] One disadvantage of these names is that, due to the precession of the equinoxes, the astrological signs where these solstices are located no longer correspond with the actual constellations. The solstices are currently in the constellations of Taurus and Sagittarius.
  • The Latin names Hibernal solstice (winter) and Aestival solstice (summer) are sometimes used.[14]

Solstice terms in East Asia

The traditional East Asian calendars divide a year into 24 solar terms (節氣). Xiàzhì (pīnyīn) or Geshi (rōmaji) (Chinese and Japanese: 夏至; Korean: 하지(Haji); Vietnamese: Hạ chí; literally: "summer's extreme") is the 10th solar term, and marks the summer solstice. It begins when the Sun reaches the celestial longitude of 90° (around June 21) and ends when the Sun reaches the longitude of 105° (around July 7). Xiàzhì more often refers in particular to the day when the Sun is exactly at the celestial longitude of 90°.

Dōngzhì (pīnyīn) or Tōji (rōmaji) (Chinese and Japanese: 冬至; Korean: 동지(Dongji); Vietnamese: Đông chí; literally: "winter's extreme") is the 22nd solar term, and marks the winter solstice. It begins when the Sun reaches the celestial longitude of 270° (around December 22 ) and ends when the Sun reaches the longitude of 285° (around January 5). Dōngzhì more often refers in particular to the day when the Sun is exactly at the celestial longitude of 270°.

The solstices (as well as the equinoxes) mark the middle of the seasons in East Asian calendars. Here, the Chinese character means "extreme", so the terms for the solstices directly signify the summits of summer and winter.

Solstice celebrations

Summer Solstice Sunrise over Stonehenge

The term solstice can also be used in a wider sense, as the date (day) that such a passage happens. The solstices, together with the equinoxes, are connected with the seasons. In some languages they are considered to start or separate the seasons; in others they are considered to be center points (in England, in the Northern hemisphere, for example, the period around the June solstice is known as midsummer, and Midsummer's Day is 24 June, about three days after the solstice itself). Similarly 25 December is the start of the Christmas celebration, and is the day the Sun begins to return to the northern hemisphere.

Many cultures celebrate various combinations of the winter and summer solstices, the equinoxes, and the midpoints between them, leading to various holidays arising around these events. For the December solstice, Christmas is the most popular holiday to have arisen. In addition, Yalda, Saturnalia, Karachun, Hanukkah, Kwanzaa and Yule (see winter solstice for more) are also celebrated around this time. For the June solstice, Christian cultures celebrate the feast of St. John from June 23 to 24 (see St. John's Eve, Ivan Kupala Day, Midsummer), while Neopagans observe Midsummer, also known as Litha. For the vernal (spring) equinox, several spring-time festivals are celebrated, such as the Persian Nowruz, the observance in Judaism of Passover and in most Christian churches of Easter. The autumnal equinox has also given rise to various holidays, such as the Jewish holiday of Sukkot. At the midpoints between these four solar events, cross-quarter days are celebrated.

In the southern tip of South America, the Mapuche people celebrate We Tripantu (the New Year) a few days after the winter solstice, on June 24. Further north the Atacama people formerly celebrated this date with a noise festival, to call the Sun back. Further East, the Aymara people celebrate their New Year on June 21. A particularly beautiful and significant celebration occurs at sunrise when the sun shines right through the Gate of the Sun in Tiwanaku. Other Aymara New Year feasts occur throughout Bolivia, including at the site of El Fuerte de Samaipata.

In many cultures the solstices and equinoxes traditionally determine the midpoint of the seasons, which can be seen in the celebrations called midsummer and midwinter. Along this vein, the Japanese celebrate the start of each season with an occurrence known as Setsubun. The cumulative cooling and warming that result from the tilt of the planet become most pronounced after the solstices, leading to the more recent custom of using them to mark the beginning of summer and winter in most countries of central and northern Europe, as well as in Canada, the US, Australia, and New Zealand.

In the Hindu calendar, two sidereal solstices are named Makara Sankranti which marks the start of Uttarayana and Karkat Sankranti which marks the start of Dakshinayana. The former occurs around January 14 each year, while the latter occurs around July 14 each year. These mark the movement of the Sun along a sidereally fixed zodiac (precession is ignored) into Makara, the zodiacal sign which corresponds with Capricorn, and into Karkat, the zodiacal sign which corresponds with Cancer, respectively.

Solstice determination

Unlike the equinox, the solstice time is not easy to determine. The changes in Solar declination become smaller as the sun gets closer to its maximum/minimum declination. The days before and after the solstice, the declination speed is less than 30 arcseconds per day which is less than 160 of the angular size of the sun, or the equivalent to just 2 seconds of right ascension.

This difference is hardly detectable with indirect viewing based devices like sextant equipped with a vernier, and impossible with more traditional tools like a gnomon[15] or an astrolabe. It is also hard to detect the changes on sunrise/sunset azimuth due to the atmospheric refraction[16] changes. Those accuracy issues render it impossible to determine the solstice day based on observations made within the 3 (or even 5) days surrounding the solstice without the use of more complex tools.

Ptolemy used an approximation method based on interpolation, which is still used by some amateurs. This method consists of recording the declination angle at noon during some days before and after the solstice, trying to find two separate days with the same declination. When those two days are found, the halfway time between both noons is estimated solstice time. An interval of 45 days has been postulated, as the best one to achieve up to a quarter-day precision, in the solstice determination.[17]

See also

References

  1. ^ United States Naval Observatory (2010-06-10). "Earth's Seasons: Equinoxes, Solstices, Perihelion, and Aphelion, 2000-2020". http://www.usno.navy.mil/USNO/astronomical-applications/data-services/earth-seasons. 
  2. ^ "solstice". The American Heritage Dictionary of the English Language: Fourth Edition. 2000. http://www.bartleby.com/61/24/S0552400.html. Retrieved 2008-10-23. 
  3. ^ The Principle of relativity was first applied to inertial frames of reference by Albert Einstein. Before then the concepts of absolute time and space applied by Isaac Newton prevailed. The motion of the Sun across the sky is still called "apparent motion" in celestial navigation in deference to the Newtonian view, but the reality of the supposed "real motion" has no special laws to commend it, both are visually verifiable and both follow the same laws of physics.
  4. ^ For an introduction to these topics of astronomy refer to Bowditch, Nathaniel (1995 Edition) (pdf). The American Practical Navigator: an Epitome of Navigation. Bethesda, Maryland: National Imagery and Mapping Agency. pp. Chapter 15 Navigational Astronomy'. http://www.irbs.com/bowditch/pdf/chapt15.pdf. Retrieved 2008-10-19. 
  5. ^ Strabo. The Geography. pp. II.5.1. "sphairikē … tēs gēs epiphaneia, spherical is the surface of the Earth" 
  6. ^ Strabo. The Geography. pp. II.5.2. "sphairoeidēs ... ouranos, spherical in appearance … is heaven" 
  7. ^ Strabo II.5.2., "aplaneis asteres kata parallēlōn pherontai kuklōn", "the fixed stars are borne in parallel circles"
  8. ^ Strabo II.5.2, "ho di'autēs (gē) aksōn kai tou ouranou mesou tetagmenos", "the axis through it (the Earth) extending through the middle of the sky"
  9. ^ Cleomedes; Alan C. Bowen; Robert B. Todd (Translators) (2004). Cleomedes' Lectures on Astronomy: A Translation of The Heavens. Berkeley: University of California Press. pp. 41. ISBN 0520233255, ISBN 978-0-520-23325-6.  This translation cites this passage at the end of Book I Chapter 2 but other arrangements have it at the start of Chapter 3. In the Greek version of Cleomedes; Hermann Ziegler (Editor) (1891). Cleomedis De motu circulari corporum caelestium libri duo. B. G. Teubneri. pp. 32.  the passage starts Chapter 4.
  10. ^ Kiddle, Henry (1877). A new manual of the elements of astronomy, descriptive and mathematical: comprising the latest discoveries and theoretic views : with directions for the use of the globes, and for studying the constellations. Ivison, Blakeman, Taylor, & Company. p. 82. http://books.google.com/books?id=NkwAAAAAYAAJ&pg=PA82. Retrieved 20 June 2011. 
  11. ^ Jain, R.K.. ICSE Geography. Ratna Sagar. p. 25. ISBN 9788183325790. http://books.google.com/books?id=s4SdkMyKHNUC&pg=PA25. 
  12. ^ Bass, Charles O. (1994). Astronomy Essentials. Research & Education Assoc.. p. 35. ISBN 9780878919659. http://books.google.com/books?id=wwsqvLL10KEC&pg=PA35. Retrieved 20 June 2011. 
  13. ^ Stewart, Alexander (1869). A Compendium of ModernGeography. Edinburgh: Oliver & Boyd. p. 383. http://books.google.com/books?id=Y3QDAAAAQAAJ&pg=PA383. Retrieved 20 June 2011. 
  14. ^ Kent, April Elliott (2011-06-07). The Essential Guide to Practical Astrology. Penguin. p. 284. ISBN 9781615640935. http://books.google.com/books?id=oAE6ykEJF1sC&pg=PT284. Retrieved 20 June 2011. 
  15. ^ Mollerup, Asger (2008). "Solstice Determination based on Observations". Archived from the original on 2008-04-30. http://web.archive.org/web/20080430051233/http://www.sundial.thai-isan-lao.com/solstice-determination.html. Retrieved 2010-09-27. 
  16. ^ Exton, Harold (1992). "A Fresh Analysis of Some Recent Data on Atmospheric Refraction Near the Horizon with Implications in Archaeoastronomy". Journal of History of Astronomy, Archaeoastronomy Supplement, Vol. 23, p.S57 23: S57. Bibcode 1992JHAS...23...57E. 
  17. ^ Hugh, Thurston (2001). "Early Greek Solstices and Equinoxes". Journal for the History of Astronomy 32, Part 2 (107): 154–156. Bibcode 2001JHA....32..154T. ISSN 0021-8286. 

External links

Calculations, plots and tables

Debate about season start


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Look at other dictionaries:

  • solstice — [ sɔlstis ] n. m. • v. 1280; lat. solstitium, de sol « Soleil » et stare « s arrêter » ♦ Astron. Chacune des deux époques où le Soleil atteint son plus grand éloignement angulaire du plan de l équateur; point de l écliptique qui y correspond.… …   Encyclopédie Universelle

  • Solstice — Sol stice, n.[L. solstitium; sol the sun + sistere to cause to stand, akin to stare to stand: cf. F. solstice. See {Solar}, a., {Stand}, v. i.] 1. A stopping or standing still of the sun. [Obs.] Sir T. Browne. [1913 Webster] 2. (Astron.) (a) The… …   The Collaborative International Dictionary of English

  • Solstice — (Нуса,Австралия) Категория отеля …   Каталог отелей

  • solstice — Solstice. s. m. Le temps auquel le soleil est dans l un des deux Tropiques. Solstice d hiver. solstice d esté. entre les deux solstices …   Dictionnaire de l'Académie française

  • solstice — [säl′stis, sōl′stis] n. [ME < MFr < L solstitium < sol, the sun (see SOL1) + sistere, caus. of stare, to STAND] 1. the moment or date when the sun in its apparent annual movement along the ecliptic reaches its maximum distance north or… …   English World dictionary

  • Solstice — Allgemeine Informationen Genre(s) Death Metal Gründung 1990 Auflösung 1993, 1995 Neugründung 1995, 2008 …   Deutsch Wikipedia

  • solstice — mid 13c., from O.Fr. solstice, from L. solstitium point at which the sun seems to stand still, from sol sun (see SOL (Cf. sol)) + pp. stem of sistere to come to a stop, make stand still (see ASSIST (Cf. assist)) …   Etymology dictionary

  • solstice — Solstice, c est le plus grand et le plus court jour de l année, Solstitium. quasi Solis statio …   Thresor de la langue françoyse

  • solstice — ► NOUN ▪ each of the two times in the year, respectively at midsummer and midwinter, when the sun reaches its highest or lowest point in the sky at noon, marked by the longest and shortest days. DERIVATIVES solstitial adjective. ORIGIN Latin… …   English terms dictionary

  • Solstice — Pour les articles homonymes, voir Solstice (homonymie). Illumination de la Terre par le Soleil lors du solstice de juin …   Wikipédia en Français

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