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DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

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sudden stratospheric warming<br />

the ionosphere. When the D-region ionization<br />

increases, the reflection height is lowered correspondingly<br />

<strong>and</strong> the altered path-length is responsible<br />

for the SPA. See short wave fadeout.<br />

sudden stratospheric warming A sudden<br />

increase temperature in the stratosphere that occurs<br />

in winter <strong>and</strong> can be driven by upwardpropagating<br />

planetary waves. In a major event<br />

of this type, the temperature at the 10 mb (about<br />

31 km) level at the North Pole may increase by<br />

40 to 60 K in less than 1 week.<br />

sulfur dioxide SO2, a colorless, toxic gas.<br />

Freezing point −72.7 ◦ C; boiling point −10 ◦ C.<br />

Volcanic eruptions provide a natural source of<br />

sulfur dioxide in the atmosphere. However, sulfur<br />

dioxide is a major anthropogenic primary atmospheric<br />

pollutant, originating from fossil fuel<br />

combustion. In the atmosphere, sulfur dioxide<br />

is oxidized to form sulfur trioxide, that is extremely<br />

soluble in water. In the presence of<br />

water, droplets of sulfuric acid (acid rain) are<br />

formed. Sulfuric acid droplets also appear to act<br />

as nucleation centers, increasing the amount of<br />

rainfall. High airborne concentrations of sulfur<br />

dioxide may aggravate existing respiratory <strong>and</strong><br />

cardiovascular disease, forming sulfuric acid in<br />

the bronchia.<br />

summation convention In equations involving<br />

vectors or tensors, <strong>and</strong> in matrix equations,<br />

one often encounters sums of the form <br />

AαB α ,<br />

where {Aα} <strong>and</strong> {B α } are collections of perhaps<br />

different kinds of objects, but of equal number<br />

labeled by <strong>and</strong> summed over the full set of integers<br />

α ∈[αmin ,αmax].<br />

Einstein noted that in a large number of situations,<br />

the expressions unambiguously require<br />

the<br />

<br />

sum. In such cases we can omit writing the<br />

. This is the Einstein summation convention.<br />

α<br />

In the unusual circumstance where one wants to<br />

examine the symbol AαB α for one fixed value<br />

of α only, one appends a “no sum” to the expression.<br />

Formulae in this dictionary use the<br />

summation convention. Similar notations have<br />

been extended to continuous sums (i.e., integration).<br />

© 2001 by CRC Press LLC<br />

454<br />

α<br />

summer solstice The point that lies on the<br />

ecliptic midway between the vernal <strong>and</strong> autumnal<br />

equinoxes <strong>and</strong> at which the sun, in its apparent<br />

annual motion, is at its greatest angular<br />

distance north of the celestial equator. On the<br />

day of the summer solstice, that occurs on about<br />

June 21, the length of daytime is at its maximum<br />

in the northern hemisphere. After summer<br />

solstice, the northern length of daytime will decrease<br />

until the winter solstice. Because of complicated<br />

interactions with atmosphere ocean <strong>and</strong><br />

l<strong>and</strong> heat reservoirs, northern surface temperatures<br />

continue to increase for a period of time<br />

after the summer solstice. In the southern hemisphere,<br />

the longest day, <strong>and</strong> the beginning of<br />

southern summer, occur on the winter solstice,<br />

about December 21.<br />

sun Our star; an inc<strong>and</strong>escent, approximately<br />

spherical star around which there exists a system<br />

of nine planets (the “solar system”), rotating in<br />

elliptical orbits. The sun is a main sequence star<br />

of type G2 V with an absolute magnitude of 4.8.<br />

The sun has a mass of 1.99 × 10 30 kg (roughly<br />

99.9% of all the matter in the solar system) a<br />

radius of 696,000 km, a mean distance from the<br />

Earth of 150 million kilometers (denoted an Astronomical<br />

Unit), a surface gravity of 274 m/s 2 ,<br />

a radiation emission of 3.86 × 10 26 W, an equatorial<br />

rotation rate of 26 days <strong>and</strong> an effective<br />

temperature of 5785 K. The sun has a radiative<br />

interior surrounded by a convective zone both of<br />

which participate in the transportation of energy<br />

from the nuclear burning core to the surface.<br />

The solar atmosphere consists of a number of<br />

distinct temperature regimes: the photosphere,<br />

chromosphere, transition region, <strong>and</strong> corona.<br />

sunlit aurora Aurora occurring in the upper<br />

atmosphere around the polar cusps of the Earth,<br />

observed in the ultraviolet by satellite imagers.<br />

sunspot A generally irregular dark spot, with<br />

considerable internal detail on the surface of the<br />

sun. A well-developed sunspot consists of a<br />

central circular or elliptical umbra, of lower luminosity,<br />

surrounded by a brighter penumbra.<br />

Sunspots are violent eruptions of gases cooler<br />

than the surrounding surface areas. The temperature<br />

of sunspots is about 1000 K lower than<br />

the typical temperature of the photosphere of

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