# Eclipse

This view from the International Space Station shows the shadow of the Moon cast upon the eastern Mediterranean Sea near Cyprus. NASA image.

An eclipse is an astronomical event that occurs when one celestial object moves into the shadow of another. When an eclipse occurs in a stellar system such as the Solar System, the celestial bodies directly involved in the eclipse form what is known as a syzygy—that is, three or more celestial bodies in the same gravitational system are aligned along a straight line.[1] The object closest to the star is called the occulting object, as it blocks the light of the star as seen from the more distant object.

The term "eclipse" is most often used to describe either a solar eclipse, when the Moon's shadow crosses the Earth's surface, or a lunar eclipse, when the Moon moves into Earth's shadow. However, an eclipse can also refer to similar events beyond the Earth-Moon system. Examples include (a) a planet moving into the shadow cast by one of its moons, (b) a moon passing into the shadow cast by its parent planet, or (c) a moon passing into the shadow of another moon. A binary star system can also produce eclipses if the plane of their orbit intersects the position of the observer.

## Contents

Eclipses have helped people visualize the relative movements of the celestial bodies involved. In addition, they have provided great opportunities to check theories and gather useful information. For example, the dates of eclipses have been used for the chronological dating of historical records. Also, solar eclipses are opportunities to learn more about the Sun's structure and to observe how the Sun's gravity bends light coming from distant stars, as predicted by the theory of general relativity. Moreover, the timings of eclipses involving the moons of Jupiter have been used to calculate an observer's longitude on Earth.

## Etymology

The term eclipse is derived from the ancient Greek noun έκλειψις (ékleipsis), from the verb εκλείπω (ekleípō), meaning "I cease to exist." It is a combination of the preposition εκ, εξ (ek, ex), meaning "out," and the verb λείπω (leípō), meaning "I am absent."[2]

## Forming a syzygy

Umbra and penumbra cast by a solid object occulting a light source.

An eclipse occurs when there is a linear arrangement (syzygy) involving a star and two celestial bodies, such as a planet and a moon. The shadow cast by the object closest to the star intersects the more distant body, lowering the amount of luminosity reaching the latter's surface. The shadow cast by the occulting body is divided into two types of regions:

1. An umbra, where the radiation from the star's photosphere is completely blocked
2. A penumbra, where only a portion of the radiation is blocked.[3]

An observer located within the umbra of the occulting object will see a total eclipse, whereas someone in the penumbra will see a partial eclipse. Totality occurs at the point of maximum phase during a total eclipse, when the occulted object is the most completely covered. Outside the umbra, the occulting object covers the light source only partially, and this produces a partial eclipse.

The part of the occulting object's shadow that extends beyond the umbra is called the antumbra.[3] Like the penumbra, the antumbra is a region where only part of the star's radiation is blocked by the occulting body. During a solar eclipse, an observer on Earth located inside the antumbra will see an annular eclipse, in which the Moon appears smaller than the Sun and in complete silhouette.

For spherical bodies, when the occulting object is smaller than the star, the umbra forms a cone whose length L is calculated by the formula:

$L\ =\ \frac{r \cdot R_o}{R_s - R_o}$

where Rs is the radius of the star, Ro is the occulting object's radius, and r is the distance from the star to the occulting object. For Earth, on average L is equal to 1.384×106 km, which is much larger than the Moon's semimajor axis of 3.844×105 km. Hence, the umbral cone of the Earth can completely envelop the Moon during a lunar eclipse.[4] If the occulting object has an atmosphere, however, some of the luminosity of the star can be refracted into the volume of the umbra. This occurs, for example, during an eclipse of the Moon by the Earth—producing a faint, ruddy illumination of the Moon even at totality.

An astronomical transit is also a type of syzygy, but is used to describe the situation where the nearer object is considerably smaller in apparent size than the more distant object. Likewise, an occultation is a syzygy where the apparent size of the nearer object appears much larger than the distant object, and the distant object becomes completely hidden during the event.

An eclipse cycle takes place when a series of eclipses are separated by a certain interval of time. This happens when the orbital motions of the bodies form repeating harmonic patterns. A particular instance is the Saros cycle, which results in a repetition of a solar or lunar eclipse every 6,585.3 days, or a little over 18 years. However, because this cycle has an odd number of days, a successive eclipse is viewed from a different part of the world.[5]

## Earth-Moon system

An eclipse involving the Sun, Earth, and Moon can occur only when they are nearly in a straight line, allowing the shadow cast by the Sun to fall upon the eclipsed body. Because the orbital plane of the Moon is tilted with respect to the orbital plane of the Earth (the ecliptic), eclipses can occur only when the Moon is close to the intersection of these two planes (the nodes). The Sun, Earth, and nodes are aligned twice a year, and eclipses can occur during a period of about two months around these times. There can be from four to seven eclipses in a calendar year, which repeat according to various eclipse cycles, such as the Saros cycle.

### Solar eclipse

An eclipse of the Sun by the Moon is termed a solar eclipse. This term is actually a misnomer. The phenomenon is more correctly described as an occultation of the Sun by the Moon, or an eclipse of the Earth by the Moon.

Records of solar eclipses have been kept since ancient times. A Syrian clay tablet records a solar eclipse on March 5, 1223 B.C.E.,[6] while Paul Griffin argues that a stone in Ireland records an eclipse on November 30, 3340 B.C.E.[7] Chinese historical records of solar eclipses date back over 4,000 years and have been used to measure changes in the Earth's rate of spin.[8] Eclipse dates can also be used for chronological dating of historical records.

Totality during the 1999 solar eclipse. Solar prominences can be seen along the limb (in red) as well as extensive coronal filaments.

The type of solar eclipse event depends on the distance of the Moon from the Earth during the event. A total solar eclipse occurs when the Earth intersects the umbra portion of the Moon's shadow. When the umbra does not reach the surface of the Earth, the Sun is only partially occulted, resulting in an annular eclipse. Partial solar eclipses occur when the viewer is inside the penumbra.[3]

Solar eclipses are relatively brief events that can only be viewed in totality along a relatively narrow track. Under the most favorable circumstances, a total solar eclipse can last for 7 minutes, 40 seconds, and can be viewed along a track that is up to 250 km wide. However, the region where partial totality can be observed is much larger. The Moon's umbra will advance eastward at a rate of 1,700 km/h, until it no longer intersects the Earth.

### Lunar eclipse

The progression of a lunar eclipse. Totality is shown with the last two images to lower right. These required a longer exposure time to make the details visible.

Lunar eclipses occur when the Moon passes through the Earth's shadow. Since this occurs only when the Moon is on the far side of the Earth from the Sun, lunar eclipses only occur when there is a full moon. Unlike a solar eclipse, an eclipse of the Moon can be observed from nearly an entire hemisphere. For this reason it is much more common to observe a lunar eclipse from a given location. A lunar eclipse also lasts longer, taking several hours to complete, with totality itself usually averaging anywhere from about 30 minutes to over an hour.[9]

There are three types of lunar eclipses:

1. Penumbral, when the Moon crosses only the Earth's penumbra
2. Partial, when the Moon crosses partially into the Earth's umbra
3. Total, when the Moon circles entirely within the Earth's umbra

Total lunar eclipses pass through all three phases. Even during a total lunar eclipse, however, the Moon is not completely dark. Sunlight refracted through the Earth's atmosphere intersects the umbra and provides a faint illumination. Much as in a sunset, the atmosphere tends to scatter light with shorter wavelengths, so the illumination of the Moon by refracted light has a red hue.[9]

## Other planets

Phobos transits Sun, as seen by Mars Rover Opportunity
A picture of Jupiter and its moon Io taken by Hubble. The black spot is Io's shadow.
Saturn eclipses the Sun as seen from the Cassini–Huygens space probe

Eclipses are impossible on Mercury and Venus, which have no moons. However, both have been observed to transit across the face of the Sun. There are on average 13 transits of Mercury each century. Transits of Venus occur in pairs separated by an interval of eight years, but each pair of events happen less than once a century.[10]

On Mars, only partial solar eclipses are possible, because neither of its moons is large enough, at their respective orbital radii, to cover the Sun's disc as seen from the surface of the planet. Eclipses of the moons by Mars are not only possible, but commonplace, with hundreds occurring each Earth year. On rare occasions, Deimos is eclipsed by Phobos.[11] Martian eclipses have been photographed from both the surface of Mars and from orbit.

The gas giant planets (Jupiter,[12] Saturn,[13] Uranus,[14] and Neptune)[15] have many moons and are thus frequently involved in eclipses. The most striking eclipses involve Jupiter, which has four large moons and a low axial tilt, making eclipses more frequent as these bodies pass through the shadow of the larger planet. Transits occur with equal frequency. It is common to see the larger moons casting circular shadows on Jupiter's cloudtops.

The eclipses of the Galilean moons by Jupiter became accurately predictable once their orbital elements were known. During the 1670s, it was discovered that these events were occurring about 17 minutes later than expected when Jupiter was on the far side of the Sun. Ole Rømer deduced that the delay was caused by the time needed for light to travel from Jupiter to the Earth. This understanding was used to obtain the first estimate of the speed of light.[16]

With the other three gas giants, eclipses occur only at certain periods during the planet's orbit, due to the higher inclination between the orbits of the moons and the orbital plane of the planet. The moon Titan, for example, has an orbital plane tilted about 1.6° to Saturn's equatorial plane. But Saturn has an axial tilt of nearly 27°. The orbital plane of Titan crosses the line of sight to the Sun at only two points along Saturn's orbit. As the orbital period of Saturn is 29.7 years, an eclipse is possible only about every 15 years.

The timing of the Jovian satellite eclipses was also used to calculate an observer's longitude on the Earth. By knowing the expected time when an eclipse would be observed at a standard longitude (such as Greenwich), the time difference could be computed by accurately observing the local time of the eclipse. The time difference gives the longitude of the observer because every hour of difference corresponded to 15° around the Earth's equator. This technique was used, for example, by Giovanni D. Cassini in 1679, to re-map France.[17]

Pluto, with its proportionately large moon Charon, is also the site of many eclipses. A series of such mutual eclipses occurred between 1985 and 1990.[18] These daily events led to the first accurate measurements of the physical parameters of both objects.[19]

## Eclipsing binaries

A binary star system consists of two stars that orbit around their common center of mass. The movements of both stars lie on a common orbital plane in space. When this plane is very closely aligned with the location of an observer, the stars can be seen to pass in front of each other. The result is a type of extrinsic variable star system called an eclipsing binary.

The maximum luminosity of an eclipsing binary system is equal to the sum of the luminosity contributions from the individual stars. When one star passes in front of the other, the luminosity of the system is seen to decrease. The luminosity returns to normal once the two stars are no longer in alignment.[20]

The first eclipsing binary star system to be discovered was Algol, a star system in the constellation Perseus. Normally this star system has a visual magnitude of 2.1. However, every 20.867 days, the magnitude decreases to 3.4 for more than 9 hours. This is caused by the passage of the dimmer member of the pair in front of the brighter star.[21] The concept that an eclipsing body caused these luminosity variations was introduced by John Goodricke in 1783.[22]

## Notes

1. New York Times, Science Watch: A Really Big Syzygy. Retrieved August 4, 2017.
2. Henry George Liddell and Robert Scott, A Greek-English Lexicon, The National Science Foundation. Retrieved August 4, 2017.
3. 3.0 3.1 3.2 Fred Espenak, Glossary of Solar Eclipse Terms, NASA. Retrieved August 4, 2017.
4. Robin M. Green, Spherical Astronomy (Oxford: Oxford University Press, 1985, ISBN 0521317797).
5. Fred Espenak, Eclipses and the Saros, NASA. Retrieved August 4, 2017.
6. T. de Jong and W.H. van Soldt, The earliest known solar eclipse record redated, Nature, 338:238–240. Retrieved August 4, 2017.
7. Paul Griffin, Confirmation of World's Oldest Solar Eclipse Recorded in Stone, The Digital Universe. Retrieved August 4, 2017.
8. Bibliotheca Alexandria, Solar Eclipses in History and Mythology. Retrieved August 4, 2017.
9. 9.0 9.1 Matt Williams, What is a Total Eclipse? Universe Today, September 27, 2016. Retrieved August 4, 2017.
10. Fred Espenak, Planetary Transits Across the Sun, NASA. Retrieved August 4, 2017.
11. Norman Davidson, Astronomy and the Imagination: A New Approach to Man's Experience of the Stars (London: Routledge, 1985, ISBN 0710203713).
12. JPL Solar Systems Simulator, Start eclipse of the Sun by Callisto from the center of Jupiter. Retrieved August 4, 2017.
13. JPL Solar Systems Simulator, Eclipse of the Sun by Titan from the center of Saturn. Retrieved August 4, 2017.
14. JPL Solar Systems Simulator, Brief Eclipse of the Sun by Miranda from the center of Uranus. Retrieved August 4, 2017.
15. JPL Solar Systems Simulator, Transit of the Sun by Nereid from the center of Neptune. Retrieved August 4, 2017.
16. Math Pages, Roemer's Hypothesis. Retrieved August 4, 2017.
17. Giovanni D. Cassini, Monsieur Cassini His New and Exact Tables for the Eclipses of the First Satellite of Jupiter, Reduced to the Julian Stile, and Meridian of London, Philosophical Transactions. 18: 237–256. Retrieved August 4, 2017.
18. M.W. Buie and K.S. Polk, Polarization of the Pluto-Charon System During a Satellite Eclipse, Bulletin of the American Astronomical Society, 20:806. Retrieved August 4, 2017.
19. D.J. Tholen, et al., Improved Orbital and Physical Parameters for the Pluto-Charon System, Science. 237(4814): 512–514. Retrieved August 4, 2017.
20. Dan Bruton, Eclipsing binary stars, Midnightkite Solutions. Retrieved August 4, 2017.
21. Glenn Chaple, Beta Persei (Algol, the "Demon Star") Skyscrapers, Inc., November, 2009. Retrieved August 4, 2017.
22. John Goodricke, Observations of a New Variable Star, Philosophical Transactions of the Royal Society of London. 75: 153–164. Retrieved August 4, 2017.

## References

• Davidson, Norman. Astronomy and the Imagination: A New Approach to Man's Experience of the Stars. London: Routledge, 1985. ISBN 0710203713.
• Espenek, Fred. NASA Eclipse Web site. NASA. Retrieved August 4, 2017.
• Green, Robin M. Spherical Astronomy. Oxford: Oxford University Press, 1985. ISBN 0521317797.
• Littmann, Mark, Fred Espenak, and Ken Willcox. Totality: Eclipses of the Sun. New York: Oxford University Press, 2008. ISBN 0199532095.