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LUNAR PHASE

Description
A lunar phase or phase of the moon is the appearance of the illuminated (lighted) portion of the Moon as seen by an observer, usually on Earth. The lunar phases change cyclically as the Moon orbits the Earth, according to the changing relative positions of the Earth, Moon, and Sun. One half of the lunar surface is always illuminated by the Sun (except during lunar eclipses), and hence is bright, but the portion of the illuminated hemisphere that is visible to an observer can vary from about 100% (full moon) to 0% (new moon). The lunar terminator is the boundary between the illuminated and unilluminated hemispheres.
The lunar phase depends on the Moon's position in orbit around the Earth and the Earth's position in orbit around the sun. This diagram looks down on Earth from north. Both Earth and the Moon's orbit are rotating counter-clockwise. Sunlight is coming in from the right. One can see, for example, that the full moon will always rise at sunset and that the waning crescent moon is high overhead around 9:00 am local time.
Lunar phases are the result of looking at the illuminated half of the Moon from different viewing geometries; they are not caused by the shadow of the Earth or umbra falling on the Moon's surface (this occurs only during a lunar eclipse).
The actual time between two syzygies or two phases is quite variable because the orbit of the Moon is elliptic and subject to various periodic perturbations, which change the velocity of the Moon. When the moon is closer to the earth, it moves faster; when it is farther, it moves slower. The orbit of the Earth around the Sun is also elliptic, so the speed of the Earth also varies, which also affects the phases of the Moon.
It might be expected that once every month when the Moon passes between Earth and the Sun during a new moon, its shadow would fall on Earth causing a solar eclipse. Likewise, during every full moon one might expect the Earth's shadow to fall on the Moon, causing a lunar eclipse. Solar and lunar eclipses are not observed every month because the plane of the Moon's orbit around the Earth is tilted by about five degrees with respect to the plane of Earth's orbit around the Sun. Thus, when new and full moons occur, the Moon usually lies to the north or south of a direct line through the Earth and Sun. Although an eclipse can only occur when the Moon is either new or full, it must also be positioned very near the intersection of Earth's orbit plane about the Sun and the Moon's orbit plane about the Earth. This happens about twice per year, and so there are between four and seven eclipses in a calendar year. Most of these are quite insignificant; major eclipses of the Moon or Sun are rare.


Names of Lunar Phase:

Phase
Northern Hemisphere
Southern Hemisphere
Visibility

Standard time of culmination (mid-phase)
New moon
Not visible, traditionally Moon's first visible crescent
after sunset
12 pm
Waxing crescent moon

Right 1–49% visible
Left 1–49% visible
afternoon and post-dusk
3 pm
First quarter moon

Right 50% visible
left 50% visible
afternoon and early night
6 pm
Waxing gibbous moon

Right 51–99% visible
Left 51–99% visible

late afternoon and most of night
9 pm
Full moon

Fully visible
Fully visible
sunset to sunrise (all night)
12 am
Waning gibbous moon

Left 51–99% visible
Right 51–99% visible
most of night and early morning
3 am
Last quarter moon

Left 50% visible
Right 50% visible
late night and morning
6 am
Waning crescent moon

Left 1–49% visible
Right 1–49% visible
pre-dawn and morning
9 am
Dark moon

Not visible, traditionally Moon's last visible crescent
before sunrise

12 pm

When the Sun and Moon are aligned on the same side of the Earth the Moon is "new", and the side of the Moon visible from Earth is not illuminated by the Sun. The lunar phases progress from new moon, crescent moon, first-quarter moon, gibbous moon and full moon phases, before returning through the gibbous moon, third-quarter (or last quarter) moon, crescent moon and new moon phases. The terms old moon and new moon are interchangeable, although new moon is more common. 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 a sphere is illuminated on one hemisphere and viewed from a different angle, the portion of the illuminated area that is visible will have a two-dimensional shape defined by the intersection of an ellipse and circle (where the major axis of the ellipse coincides with a diameter of the circle). If the half-ellipse is convex with respect to the half-circle, then the shape will be gibbous, 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 faintly reflects light from the Earth.

Conclution:
The time between two full moons (a Lunar month) is about 29.53 days(29 days, 12 hours, 44 minutes) on average. This synodic month is longer than the time it takes the Moon to make one orbit around the Earth with respect to the fixed stars (the sidereal month), which is about 27.32 days. This difference is caused by the fact that the Earth-Moon system is orbiting around the Sun at the same time the Moon is orbiting around the Earth.


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