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Month:''In Egyptian mythology, Month is an alternate spelling for Menthu.'' The month is a unit of time, used with calendars, which is approximately as long as some natural period related to the motion of the Moon (i.e. "Moonth"). The traditional concept arose with the cycle of moon phases; such months are ''synodic'' months and last ~29.53 days. From excavation tally sticks, researchers have deduced that people counted days in relation to the Moon's phases as early as the Paleolithic age. Synodic months are still the basis of many calendars. == Astronomical background == The motion of the Moon in its orbit is very complicated and its period is not constant. Moreover, many cultures (most notably those using the ancient Hebrew calendar and the Islamic calendar) start a month with the first appearance of the thin crescent of the new moon after sunset over the western horizon. The date and time of this actual observation depends on the exact geographical longitude as well as latitude, atmospheric conditions, the visual acuity of the observers, etc. Therefore the beginning and lengths of months in these calendars can not be accurately predicted. Most Jews currently follow a precalculated calendar, but the Karaites rely on actual moon observations. === Sidereal month === The actual period of the Moon's orbit as measured in a fixed frame of reference is known as a ''sidereal'' month (\[http://www.bartleby.com/61/wavs/99/S0389900.wav sī-dir'-ē-ǝl], sǝ- \), because it is the time it takes the Moon to return to the same position on the celestial sphere among the fixed stars (Latin: ''sidus''): 27.321 661 days (27d7h43m11.5s) or about 27 1/3 days. This type of "month" has appeared among cultures in the Middle East, India, and China in the following way: they divided the sky in 27 or 28 lunar mansions, characterized by asterisms (apparent groups of stars), one for each day that the Moon follows its track among the stars. === Tropical month === It is customary to specify positions of celestial bodies with respect to the vernal equinox. Because of precession, this point moves back slowly along the ecliptic. Therefore it takes the Moon less time to return to an ecliptic longitude of zero than to the same point amidst the fixed stars: 27.321 582 days (27d7h43m4.7s). This slightly shorter period is known as ''tropical'' month; cf. the analogous tropical year of the Sun. === Anomalistic month === Like all orbits, the Moon's orbit is an ellipse rather than a circle. However, the orientation (as well as the shape) of this orbit is not fixed. In particular, the position of the extreme points (the line of the apsides: perigee and apogee), makes a full circle in about nine years. It takes the Moon longer to return to the same apsis because it moved ahead during one revolution. This longer period is called the ''anomalistic'' month, and has an average length of 27.554 551 days (27d13h18m33.2s), or about 27 1/2 days. The apparent diameter of the Moon varies with this period, and therefore this type of month has some relevance for the prediction of eclipses (see saros), whose extent, duration, and appearance (whether total or annular) depend on the exact apparent diameter of the Moon. === Nodical month === The orbit of the Moon lies in a plane that is tilted with respect to the plane of the ecliptic: it has an inclination of about five degrees. The line of intersection of these planes defines two points on the celestial sphere: the ascending node and descending node nodes. The plane of the Moon's orbit precession over a full circle in about 18.6 years, so the nodes move backwards over the ecliptic with the same period. Hence the time it takes the Moon to return to the same node is again shorter than a sidereal month: this is called the ''nodical'', ''draconitic'' or ''draconic'' (\[http://www.bartleby.com/61/wavs/46/D0374600.wav drā-cŏn'-ĭk]\) month. It lasts 27.212 220 days (27d5h5m35.8s), or about 27 1/5 days. It is important for predicting eclipses: these take place when the Sun, Earth and Moon are on a line. Now (as seen from the Earth) the Sun moves along the ecliptic, while the Moon moves along its own orbit that is inclined on the ecliptic. The three bodies are only on a line when the Moon is on the ecliptic, i.e. when it is at one of the nodes. The "draconitic/draconic" month refers to the mythological dragon that lives in the nodes and regularly eats the Sun or Moon during an eclipse. === Synodic month === The cause of moon phases is that from the Earth we see the part of the Moon that is illuminated by the Sun from different angles as the Moon traverses its orbit. So the appearance depends on the position of the Moon with respect to the Sun (as seen from the Earth). Because the Earth orbits the Sun, it takes the Moon extra time (after completing a sidereal month, i.e. a full circle) to catch up and return to the same position with respect to the Sun. This longer period is called the ''synodic'' month (\[http://www.bartleby.com/61/wavs/91/S0969100.wav sĭ-nŏd'-ĭk]\) (from Greek ''syn hodô'' or σὺν ὁδῴ, with the way, i.e. the Moon travelling with the Sun). Because of the perturbations of the orbits of the Earth and Moon, the actual time between lunations may range from about 29.27 to about 29.83 days. The long-term average duration is 29.530 588 days (29d12h44m2.8s), or about 29 1/2 days. === Month lengths === Here is a list of the average length of the various astronomical lunar months [1]. These are not constant, so a first-order (linear) approximation of the secular change is provided: Valid for the epoch J2000.0 (1 Jan. 2000 12:00 Terrestrial Time): {| cellpadding="3" cellspacing="0" border="1" |- | sidereal month | 27.321661547 + 0.000000001857×y days |- | tropical month | 27.321582241 + 0.000000001506×y days |- | anomalistic month | 27.554549878 − 0.000000010390×y days |- | draconic month | 27.212220817 + 0.000000003833×y days |- | synodic month | 29.530588853 + 0.000000002162×y days |} ''Note:'' time expressed in Ephemeris Time (more precisely Terrestrial Time) with days of 86400 SI seconds. y is years since the epoch (2000), expressed in Julian years of 365.25 days. Note that for calendrical calculations, one would probably use days measured in the time scale of Universal Time, which follows the somewhat unpredictable rotation of the Earth, and progressively accumulates a difference with ephemeris time called Delta T. [1] Derived from ELP2000-85: M.Chapront-Touzé, J. Chapront (1991): ''Lunar tables and programs from 4000 B.C. to A.D. 8000''. Willmann-Bell, Richmond VA; ISBN 0-943396-33-6 == Calendrical implications == Continued fractions of the decimal value for the synodic month quoted above give successive approximations for the average length of this month in terms of fractions of a day. So in the list below, after the number of days listed in the numerator, an integer number of months as listed in the denominator have been completed: : 29 days : 30 : 59/2 : 443/15 : 502/17 : 1447/49 : 25101/850 This is useful for designing purely lunar calendars, where months of 29 and 30 days (termed respectively hollow and full months) occur in some pattern that repeats after some number of months. A recently invented pure lunar calendar called the ''Yerm Calendar'' [http://www.hermetic.ch/cal_stud/palmen/yerm1.htm] makes use of ''all'' of the above approximations. More importantly, in lunisolar calendars, an integral number of synodic months is fitted into some integral number of years. The average length of the tropical year divided by the average length of the synodic month, i.e. the number of synodic months in a year, is (for epoch J2000): : 12.368266392 Continued fractions of this decimal value give optimal approximations for this value. So in the list below, after the number of synodic months listed in the numerator, an integer number of tropical years as listed in the denominator have been completed: : 12 : 25/2 : 37/3 : 99/8 : 235/19 Metonic cycle : 4131/334 The last three have actually been used in calendars. ==Months in various calendars == === Julian and Gregorian calendars === The Gregorian calendar, like the Julian calendar before it, has twelve months: #January, with 31 days; #February, with 28 days, 29 in leap years, or 30 on February 30; #March, with 31 days; #April, with 30 days; #May, with 31 days; #June, with 30 days; #July, with 31 days; #August, with 31 days; #September, with 30 days; #October, with 31 days; #November, with 30 days; #December, with 31 days. For the rationale behind the unusual day lengths, see February and August. One of Wikipedia's sister projects, Wiktionary, provides translations of each of the Gregorian/Julian calendar months into a dozen or more languages. Month-by-month links are provided here: [http://en.wiktionary.org/wiki/January January], [http://en.wiktionary.org/wiki/February February], [http://en.wiktionary.org/wiki/March March], [http://en.wiktionary.org/wiki/April April], [http://en.wiktionary.org/wiki/May May], [http://en.wiktionary.org/wiki/June June], [http://en.wiktionary.org/wiki/July July], [http://en.wiktionary.org/wiki/August August], [http://en.wiktionary.org/wiki/September September], [http://en.wiktionary.org/wiki/October October], [http://en.wiktionary.org/wiki/November November], [http://en.wiktionary.org/wiki/December December]. Months existing in the Roman calendar in the past include: *Mercedonius, an occasional month after February to realign the calendar. *Quintilis, renamed to July in honor of Julius Caesar. *Sextilis, renamed to August in honor of Caesar Augustus. One mnemonic for remembering the lengths of the months is to hold up your two fists with the index knuckle of your left hand against the index knuckle of your right hand. Then, starting with January from the little knuckle of your left hand, count knuckle, space, knuckle, space through the months. A knuckle represents a month of 31 days, and a space represents a short month. Another one is: :''Thirty days hath September,'' :''April, June, and [dull] November;'' :''All the rest have thirty-one,'' :''Excepting February alone,'' :''Which hath but twenty-eight, in fine,'' :''Till leap year make it twenty-nine.'' ::or, an alternate ending: :''Which has eight and a score,'' :''Until leap year gives it one day more.'' ::or, another alternate ending: :''Which hath twenty-eight days clear,'' :''And twenty-nine in each leap year.'' ===Hindu Calendar=== The Hindu Calendar has various systems of naming the months. The months in the lunar calendar are: # Chaitra # Vaishaakha # Jyaishtha # Aashaadha # Shraavana # Bhaadrapada # Aashvayuja # Kaartika # Maargashiirsha # Pausha # Maagha # Phaalguna These are also the names used in the Hindu Calendar for the newly redefined months. The names in the solar calendar are just the names of the zodiac sign in which the sun travels. They are # Mesha # Vrishabha # Mithuna # Kataka # Simha # Kanyaa # Tulaa # Vrishcika # Dhanus # Makara # Kumbha # Miina ===Islamic calendar=== There are also twelve months in the Islamic calendar. They are named as follows: # Muharram (or shortened to Muharram) محرّم # Safar صفر # Rabi`-ul-Awwal (Rabi' I) ربيع الأول # Rabi`-ul-Akhir (or Rabi` al-THaany) (Rabi' II) ربيع الآخر أو ربيع الثاني # Jumaada-ul-Awwal (Jumaada I) جمادى الأول # Jumaada-ul-Akhir (or Jumaada al-THaany) (Jumaada II) جمادى الآخر أو جمادى الثاني # Rajab رجب # Sha'aban شعبان # Ramadhan رمضان # Shawwal شوّال # Dhul Qadah ذو القعدة (or Thw al-Qi`dah) # Dhul Hijja ذو الحجة (or Thw al-Hijjah) For details, please see Islamic calendar. ===Iranian/Persian calendar=== The Iranian calendar, currently used in Iran and Afghanistan, also has 12 months. The Persian language names are included in the parentheses. # Farvardin (فروردین), 31 days # Ordibehesht (اردیبهشت), 31 days # Khordad (خرداد), 31 days # Tir (تیر), 31 days # Mordad (مرداد), 31 days # Shahrivar (شهریور), 31 days # Mehr (مهر), 30 days # Aban (آبان), 30 days # Azar (آذر), 30 days # Dey (دی), 30 days # Bahman (بهمن), 30 days # Esfand (اسفند), 29 days (30 days in leap years) == See also == * Table of lunar month correspondences * Intercalation Units of time Calendars ang:Mónaþ cv:Уйăх hi:मास ka:თვე la:Mensis simple:Month MonthIf you're like me, you can't quickly remember how many days are in October or April. However, there is a simple trick to determining how many days are in each month, and it doesn't involve any complex calculations. In fact, the only things involved are carried with you 24 hours a day (except, of course, if for some reason, you no longer have your original hands); your knuckles. The trick goes as such: 1) Make your hands into fists 2) Hold your fists together so that your thumbs and (curled) index fingers are touching. 3) Now, count both the knuckles and valleys between them as months (i.e. count the first knuckle as January, the adjoining valley as February, and so on). The orientation of the counting makes no difference, so those that prefer to think in a Hebrew mentality can count from right to left and still get the desired effect. 4) Now for the important part of the trick: Each month that was counted on a knuckle has 31 days, and each month that was counted in a valley has fewer than 31 days (well, 80% of them have 30. The remaining month has 28 (or 29) days. Figuring out which is the odd one out will be an exercise left to the reader. NOTE: this is "stupid as hell" (in the opinion of some people, but widely taught and practiced by others). == "Months in Various Calenders" should be deleted == that section is pointless, considering the fact that there is already a section for many specific calenders. Instead of it, a link should be added to the specific calenders section. I would have done this myself, except that I am very clumsy with the site (seeing as I've edited for the first time today) and before deletion, people who know more than me about all of the topics presented in the section should check whether information that appears there is missing in the entries for the specific topics. I've already noticed that the alternate endings of the mnemonic for the memorisation of the length of months did not appear in the entry about the gregorian calender, so I added them to the appropriate section there. I probably missed some things, however. Month{| align="right" class="toccolours" style="margin-left: 1em; text-align:center;" |- style="background:lightblue;" |colspan="7"|{} |- |width="14%"| Sunday |width="14%"| Monday |width="14%"| Tuesday |width="14%"| Wednesday |width="14%"| Thursday |width="14%"| Friday |width="14%"| Saturday |- See other meanings of words starting from letter: MMA | MB | MC | MD | ME | MF | MG | MH | MI | MJ | MK | ML | MN | MO | MP | MR | MS | MT | MU | MW | MX | MY | MZ |Words begining with Month: Month Month Month Montherod Monthfeature/2004September Monthly Monthly_multilingual_rankings_(2004) Monthly_Mumbai_Weather Monthly_mumbai_weather Monthly_Notices_of_the_Royal_Astronomical_Society Monthly_Review Monthol Monthon MonthR MonthR_28_Fr MonthR_28_Mo MonthR_28_Sa MonthR_28_Su MonthR_28_Th MonthR_28_Tu MonthR_28_We MonthR_29_Fr MonthR_29_Mo MonthR_29_Sa MonthR_29_Su MonthR_29_Th MonthR_29_Tu MonthR_29_We MonthR_30_Fr MonthR_30_Mo MonthR_30_Sa MonthR_30_Su MonthR_30_Th MonthR_30_Tu MonthR_30_We MonthR_31_Fr MonthR_31_Mo MonthR_31_Sa MonthR_31_Su MonthR_31_Th MonthR_31_Tu MonthR_31_We Months Months Months Months Months Months Months_in_the_Islamic_calender Months_of_the_Coptic_calendar Months_of_the_Hebrew_calendar Months_of_the_Hindu_calendar Month_28_Fr Month_28_Mo Month_28_Sa Month_28_Su Month_28_Th Month_28_Tu Month_28_We Month_29_Fr Month_29_Mo Month_29_Sa Month_29_Su Month_29_Th Month_29_Tu Month_29_We Month_30_Fr Month_30_Mo Month_30_Sa Month_30_Su Month_30_Th Month_30_Tu Month_30_We Month_31_Fr Month_31_Mo Month_31_Sa Month_31_Su Month_31_Th Month_31_Tu Month_31_We Month_in_rail_transport Month_of_Hathor |
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