A lunar phase or Moon phase is the apparent shape of the Moon's day and night phases of the lunar day as viewed from afar. Because the Moon is tidally locked to Earth, the cycle of phases takes one lunar month and moves across the same side of the Moon, which always faces Earth. In common usage, the four major phases are the new moon, the first quarter, the full moon, and the last quarter. The four minor phases are waxing crescent, waxing gibbous, waning gibbous, and waning crescent. A lunar month is the time between successive recurrences of the same phase: due to the eccentricity of the Moon's orbit, this duration is not perfectly constant but averages about 29.5 days.
The appearance of the Moon (its phase) depends on the observer's latitude and is opposite across northern hemisphere and southern hemisphere observers. It gradually changes over a lunar month as the relative orbital positions of the Moon around Earth, and Earth around the Sun, shift. The visible side of the Moon is sunlit to varying extents, depending on the position of the Moon in its orbit, with the sunlit portion varying from 0% (at new moon) to nearly 100% (at full moon).
Principle The Moon rotates as it orbits Earth, changing orientation toward the Sun experiencing a lunar day. A lunar day is equal to one lunar month (one synodic orbit around Earth) due to it being tidally locked to Earth. Since the Moon is not tidally locked to the Sun, lunar daylight and night times both occur around the Moon. The changing position of the illumination of the Moon by the Sun during a lunar day is observable from Earth as the changing lunar phases, waxing crescent being the sunrise and the waning crescent the sunset phase of a day observed from afar.
Description
There are four principal (primary, or major) lunar phases: the new moon, first quarter, full moon, and last quarter (also known as third or final quarter), when the Moon's ecliptic longitude is at an angle to the Sun (as viewed from the center of the Earth) of 0°, 90°, 180°, and 270° respectively. Each of these phases appears at slightly different times at different locations on Earth, and tabulated times are therefore always geocentric (calculated for the Earth's center).
Between the principal phases are intermediate phases, during which the apparent shape of the illuminated Moon is either crescent or gibbous. On average, the intermediate phases last one-quarter of a synodic month, or 7.38 days.
The term is used for an intermediate phase when the Moon's apparent shape is thickening, from new to a full moon; and when the shape is thinning. The duration from full moon to new moon (or new moon to full moon) varies from approximately to about .
Due to lunar motion relative to the meridian and the ecliptic, in Earth's Northern Hemisphere: A new moon appears highest at the summer solstice and lowest at the winter solstice. A first-quarter moon appears highest at the spring equinox and lowest at the autumn equinox. A full moon appears highest at the winter solstice and lowest at the summer solstice. A last-quarter moon appears highest at the autumn equinox and lowest at the spring equinox.
Non-Western cultures may use a different number of lunar phases; for example, traditional Hawaiian culture has a total of 30 phases (one per day).
Waxing and waning
When the Sun and Moon are aligned on the same side of the Earth (conjunct), the Moon is "new", and the side of the Moon facing Earth is not illuminated by the Sun. As the Moon waxes (the amount of illuminated surface as seen from Earth increases), the lunar phases progress through the new moon, crescent moon, first-quarter moon, gibbous moon, and full moon phases. The Moon then wanes as it passes through the gibbous moon, third-quarter moon, and crescent moon phases, before returning back to new moon.
The terms old moon and new moon are not interchangeable. The "old moon" is a waning sliver (which eventually becomes undetectable to the naked eye) until the moment it aligns with the Sun and begins to wax, at which point it becomes new again. Half moon is often used to mean the first- and third-quarter moons, while the term quarter refers to the extent of the Moon's cycle around the Earth, not its shape.
When an illuminated hemisphere is viewed from a certain angle, the portion of the illuminated area that is visible will have a two-dimensional shape as defined by the intersection of an ellipse and circle (in which the ellipse's major axis coincides with the circle's diameter). If the half-ellipse is convex with respect to the half-circle, then the shape will be gibbous (bulging outwards), whereas if the half-ellipse is concave with respect to the half-circle, then the shape will be a crescent. When a crescent moon occurs, the phenomenon of earthshine may be apparent, where the night side of the Moon dimly reflects indirect sunlight reflected from Earth.
Principal and intermediate phases of the Moon Moon phases Illuminated portion Visibility Average moonrise time Culmination time (highest point) Average moonset time Illustrations from Photograph (view from the Northern Hemisphere) Northern Hemisphere Southern Hemisphere North Pole South Pole New Moon Disc completely in shade (lit by earthshine only) Invisible (too close to Sun), except during a total or annular solar eclipse(when the Moon obscures the Sun disc) 06:00 12:00 18:00 Waxing moon Waxing crescent Right side: (1%–49%) lit disc Left side: (1%–49%) lit disc Late morning to post-dusk 09:00 15:00 21:00 First quarter Right side: 50% lit disc Left side: 50% lit disc Afternoon and early night 12:00 18:00 00:00 Waxing gibbous Right side: (51%–99%) lit disc Left side: (51%–99%) lit disc Late afternoon and most of night 15:00 21:00 03:00 Full Moon 100% illuminated disc, except during a total or partial lunar eclipse(when the Moon crosses the Earth's shadow) Sunset to sunrise (all night) 18:00 00:00 06:00 Waning moon Waning gibbous Left side: (99%–51%) lit disc Right side: (99%–51%) lit disc Most of night and early morning 21:00 03:00 09:00 Last quarter Left side: 50% lit disc Right side: 50% lit disc Late night and morning 00:00 06:00 12:00 Waning crescent Left side: (49%–1%) lit disc Right side: (49%–1%) lit disc Pre-dawn to early afternoon 03:00 09:00 15:00
Timekeeping
Although the first formal calendar was created in Mesopotamia about 5,000 years ago, archaeologists have identified methods of timekeeping based on the lunar cycle that go back to prehistoric times. For example, marks in a site in Scotland, dated to 10,000 years ago, are thought to have been a lunisolar calendar. According to the interpretation, this calendar marked both the lunar cycle and the midwinter solstice, showing a recognition that it needed to be recalibrated every year because a lunar year is shorter than the solar year.
The natural units for timekeeping used by most historical societies are the day, the solar year and the lunation. The first crescent of the new moon provides a clear and regular marker in time and pure lunar calendars (such as the Islamic Hijri calendar) rely completely on this metric. The fact, however, that a year of twelve lunar months is ten or eleven days shorter than the solar year means that a lunar calendar drifts out of step with the seasons. Lunisolar calendars resolve this issue with a year of thirteen lunar months every few years, or by restarting the count at the first new (or full) moon after the winter solstice. The Sumerian calendar is the first recorded to have used the former method; Chinese calendar uses the latter, despite delaying its start until the second or even third new moon after the solstice. The Hindu calendar, also a lunisolar calendar, further divides the month into two fourteen day periods that mark the waxing moon and the waning moon.
The ancient Roman calendar began as a purely lunar calendar, but later evolved into a lunisolar one. On the decree of Julius Caesar in the first century BCE, Rome changed to a solar calendar of twelve months, each of a fixed number of days except in a leap year. This, the Julian calendar (slightly revised in 1582 to correct the leap year rule), is the basis for the Gregorian calendar that is almost exclusively the civil calendar in use worldwide today.
Calculating phase
Each of the four intermediate phases lasts approximately seven days (7.38 days on average), but varies ±11.25% due to lunar apogee and perigee.
The number of days counted from the time of the new moon is the Moon's "age". Each complete cycle of phases is called a "lunation".
The approximate age of the Moon, and hence the approximate phase, can be calculated for any date by calculating the number of days since a known new moon (such as 1 January 1900 or 11 August 1999) and reducing this modulo 29.53059 days (the mean length of a synodic month). The difference between two dates can be calculated by subtracting the Julian day number of one from that of the other, or there are simpler formulae giving (for instance) the number of days since 31 December 1899. However, this calculation assumes a perfectly circular orbit and makes no allowance for the time of day at which the new moon occurred and therefore may be incorrect by several hours. (It also becomes less accurate the larger the difference between the required date and the reference date.) It is accurate enough to use in a novelty clock application showing lunar phase, but specialist usage taking account of lunar apogee and perigee requires a more elaborate calculation. Also, due to lunar libration it is not uncommon to see up to 101% of the full moon or even up to 5% of the lunar backside.
Calculating phase size
The phase is equal to the area of the visible lunar sphere that is illuminated by the Sun. This area or degree of illumination is given by , where is the elongation (i.e., the angle between Moon, the observer on Earth, and the Sun).
Orientation by latitude
In the Northern Hemisphere, if the left side of the Moon is dark, then the bright part is thickening, and the Moon is described as waxing (shifting toward full moon). If the right side of the Moon is dark, then the bright part is thinning, and the Moon is described as waning (past full and shifting toward new moon). Assuming that the viewer is in the Northern Hemisphere, the right side of the Moon is the part that is always waxing. (That is, if the right side is dark, the Moon is becoming darker; if the right side is lit, the Moon is getting brighter.)
In the Southern Hemisphere, the Moon is observed from a perspective inverted, or rotated 180°, to that of the Northern and to all of the images in this article, so that the opposite sides appear to wax or wane.
Closer to the Equator, the lunar terminator will appear horizontal during the morning and evening. Since the above descriptions of the lunar phases only apply at middle or high latitudes, observers moving towards the tropics from northern or southern latitudes will see the Moon rotated anti-clockwise or clockwise with respect to the images in this article.
The lunar crescent can open upward or downward, with the "horns" of the crescent pointing up or down, respectively. When the Sun appears above the Moon in the sky, the crescent opens downward; when the Moon is above the Sun, the crescent opens upward. The crescent Moon is most clearly and brightly visible when the Sun is below the horizon, which implies that the Moon must be above the Sun, and the crescent must open upward. This is therefore the orientation in which the crescent Moon is most often seen from the tropics. The waxing and waning crescents look very similar. The waxing crescent appears in the western sky in the evening, and the waning crescent in the eastern sky in the morning.
Other observational phenomena Lunar libration