THE PHASES OF THE MOON

1-10 The phases of the Moon originally inspired the concept of the month

While the Moon’s precessional effect on Earth unfolds over millennia, many lunar effects are noticeable every day. As the Moon orbits Earth, it moves from west to east (right to left) on the celestial sphere, changing position among the background stars. Its position relative to the Sun also changes and, as a result, we see different lunar phases.

The Sun illuminates half of the Moon at all times (Figure 1-20). The Moon’s phase that we see depends on how much of its sunlit hemisphere is facing Earth. When the Moon is closest to the Sun in the sky, its dark hemisphere faces Earth. This phase, during which the Moon is at most a tiny crescent, is called the new Moon. During the 7 days following the new phase, more of the Moon’s illuminated hemisphere becomes exposed to our view, resulting in a phase called the waxing crescent Moon. At the first quarter Moon, we see half of the illuminated hemisphere and half of the dark hemisphere. “Quarter Moon” refers to how far in its cycle the Moon has gone, rather than what fraction of the Moon appears lit by sunlight.

Figure 1-20: The Phases of the Moon The diagram shows the Moon at eight locations on its orbit as viewed from far above Earth’s North Pole. Light from the Sun illuminates one-half of the Moon at all times, while the other half is dark. It takes about 29½ days for the Moon to go through all its phases. The inset drawings with photographs show the resulting lunar phases as seen from Earth.

During the next week, still more of the illuminated hemisphere can be seen from Earth, giving us the phase called the waxing gibbous Moon. “Gibbous” means “rounded on both sides.” When the Moon arrives on the opposite side of Earth from the Sun, we see virtually all the fully illuminated hemisphere. This phase is the full Moon. Over the following 2 weeks, we see less and less of the illuminated hemisphere as the Moon continues along its orbit. This movement produces the phases called the waning gibbous Moon, the third quarter Moon, and the waning crescent Moon. The Moon completes a full cycle of phases in 29½ days.

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Confusion often occurs over the terms “far side” and “dark side” of the Moon. The far side is the side of the Moon facing away from Earth. The dark side is the side of the Moon on which the Sun is not shining. By examining the photographs in Figure 1-20 you can see that the same physical side of the Moon faces Earth all the time (that is, we always see the same craters). The half of the Moon that never faces Earth is the far side. However, the far side is not always the dark side, because we see part of the dark side whenever we see less than a full Moon. (What did Pink Floyd have to say about the dark side of the Moon?)

Figure 1-20 shows the Moon at various positions in its orbit. Remember that the bright side of the Moon is on the right (west) side of the waxing Moon, while the bright side is on the left (east) side of the waning Moon. This information can tell you at a glance whether the Moon is waxing or waning. When looking at the Moon through a telescope, the best place to see surface details is where the shadows are longest. This occurs at the boundary between the bright and dark regions, called the terminator.

Focus Question 1-6

Is the Moon waning or waxing in Figure 1-21?

Figure 1-21: The Moon During the Day The Moon is visible at some time during daylight hours virtually every day. The time of day or night it is up in our sky depends on its phase.
Figure 1-22: The Sidereal and Synodic Months The sidereal month is the time it takes the Moon to complete one revolution with respect to the background stars, about 27.3 days. However, because Earth is constantly moving in its orbit about the Sun, the Moon must travel through more than 360° to get from one new Moon to the next. The synodic month is the time between consecutive new Moons or consecutive full Moons, about 29½ days.

Figure 1-20 also shows local time around the globe when the Moon rises and sets at the indicated phases. For example, at first quarter, the Moon is 90° east of the Sun on the celestial sphere; hence, the Moon rises when the Sun is highest in the sky. At full Moon, the Moon is opposite the Sun in the sky; thus, the Moon rises as the Sun is setting. Using this information, you can see that the Moon is visible during the daytime (Figure 1-21) for a part of most days of the year.

The approximately 4 weeks that the Moon takes to complete one cycle of its phases inspired our ancestors to invent the concept of a month. Astronomers find it useful to define two types of months, depending on whether the Moon’s motion is measured relative to the stars or to the Sun. Neither type corresponds exactly to the months of our usual calendar, which have different (and, in the case of February, varying) lengths.

The sidereal month is the time it takes the Moon to complete one full orbit of 360° around Earth (Figure 1-22). The length of the sidereal month is determined by the location of the Moon in its orbit around Earth as measured with respect to the stars, analogous to how the sidereal day is measured. Equivalently, this is the time it takes the Moon to start at one place on the celestial sphere and return to exactly the same place again. The sidereal orbital period of the Moon takes approximately 27.3 days. The synodic month, or lunar month, is the time it takes the Moon to complete one 29½-day cycle of phases (for example, from new Moon to new Moon or from full Moon to full Moon) and thus is measured with respect to the Sun rather than the stars.

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The synodic month is longer than the sidereal month because Earth is orbiting the Sun while the Moon goes through its phases. As shown in Figure 1-22, the Moon must travel more than 360° along its orbit around Earth to complete a cycle of phases (for example, from one new Moon to the next), which takes about 2.2 days longer than the sidereal month.

Both the sidereal month and synodic month vary somewhat, because the gravitational pull of the Sun on Earth changes Earth’s orbital speed throughout the year and the gravitational pull of the Sun on the Moon affects the Moon’s speed as it orbits Earth. The sidereal month can vary by as much as 7 hours, while the synodic month can change by as much as 12 hours.

The terms synodic and sidereal are also used in discussing the motion of the other bodies in the solar system. The synodic period of a planet is the time between consecutive straight alignments of the Sun, Earth, and that planet (during which time interval the planet also goes through a cycle of phases, as seen from Earth). Recall that any orbit measured with respect to the stars is called “sidereal,” including orbits of the planets around the Sun, as well as orbits of moons around their planets.