Effect Of Sun Angle On Climate
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The amount of
heat In thermodynamics, heat is energy in transfer between a thermodynamic system and its surroundings by such mechanisms as thermal conduction, electromagnetic radiation, and friction, which are microscopic in nature, involving sub-atomic, ato ...
energy received at any location on the globe is a direct effect of Sun angle on climate, as the
angle In Euclidean geometry, an angle can refer to a number of concepts relating to the intersection of two straight Line (geometry), lines at a Point (geometry), point. Formally, an angle is a figure lying in a Euclidean plane, plane formed by two R ...
at which
sunlight Sunlight is the portion of the electromagnetic radiation which is emitted by the Sun (i.e. solar radiation) and received by the Earth, in particular the visible spectrum, visible light perceptible to the human eye as well as invisible infrare ...
strikes
Earth Earth is the third planet from the Sun and the only astronomical object known to Planetary habitability, harbor life. This is enabled by Earth being an ocean world, the only one in the Solar System sustaining liquid surface water. Almost all ...
varies by location, time of day, and
season A season is a division of the year based on changes in weather, ecology, and the number of daylight hours in a given region. On Earth, seasons are the result of the axial parallelism of Earth's axial tilt, tilted orbit around the Sun. In temperat ...
due to
Earth's orbit Earth orbits the Sun at an astronomical unit, average distance of , or 8.317 light-second, light-minutes, in a retrograde and prograde motion, counterclockwise direction as viewed from above the Northern Hemisphere. One complete orbit takes & ...
around the
Sun The Sun is the star at the centre of the Solar System. It is a massive, nearly perfect sphere of hot plasma, heated to incandescence by nuclear fusion reactions in its core, radiating the energy from its surface mainly as visible light a ...
and
Earth's rotation Earth's rotation or Earth's spin is the rotation of planet Earth around its own Rotation around a fixed axis, axis, as well as changes in the orientation (geometry), orientation of the rotation axis in space. Earth rotates eastward, in progra ...
around its tilted axis. Seasonal change in the angle of sunlight, caused by the tilt of Earth's
axis An axis (: axes) may refer to: Mathematics *A specific line (often a directed line) that plays an important role in some contexts. In particular: ** Coordinate axis of a coordinate system *** ''x''-axis, ''y''-axis, ''z''-axis, common names ...
, is the basic mechanism that results in warmer weather in summer than in winter.Windows to the Universe
Earth's Tilt Is the Reason for the Seasons!
Retrieved on 2008-06-28.
Change in day length is another factor (albeit lesser).


Geometry of Sun angle

Figure 1 presents a case when sunlight shines on Earth at a lower
angle In Euclidean geometry, an angle can refer to a number of concepts relating to the intersection of two straight Line (geometry), lines at a Point (geometry), point. Formally, an angle is a figure lying in a Euclidean plane, plane formed by two R ...
(Sun closer to the horizon), the energy of the sunlight is spread over a larger area, and is therefore weaker than if the Sun is higher overhead and the energy is concentrated on a smaller area. Figure 2 depicts a sunbeam wide falling on the ground from directly overhead, and another hitting the ground at a 30° angle.
Trigonometry Trigonometry () is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The fiel ...
tells us that the
sine In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side opposite th ...
of a 30° angle is 1/2, whereas the sine of a 90° angle is 1. Therefore, the sunbeam hitting the ground at a 30° angle spreads the same amount of light over twice as much area (if we imagine the Sun shining from the south at
noon Noon (also known as noontime or midday) is 12 o'clock in the daytime. It is written as 12 noon, 12:00 m. (for '' meridiem'', literally 12:00 midday), 12 p.m. (for ''post meridiem'', literally "after midday"), 12 pm, or 12:00 (using a 24-hour cl ...
, the north–south width doubles; the east–west width does not). Consequently, the amount of light falling on each square mile is only half as much. Figure 3 shows the angle of sunlight striking Earth in the Northern and Southern Hemispheres when Earth's northern axis is tilted away from the Sun, when it is winter in the north and summer in the south.


Obliquity, seasonality, and climate

Differing sun angle results in differing temperatures between lower and higher latitudes, and between winter and summer at the same latitude (although "winter" and "summer" are more complicated in the
tropics The tropics are the regions of Earth surrounding the equator, where the sun may shine directly overhead. This contrasts with the temperate or polar regions of Earth, where the Sun can never be directly overhead. This is because of Earth's ax ...
. Note: See
Axial tilt In astronomy, axial tilt, also known as obliquity, is the angle between an object's rotational axis and its orbital axis, which is the line perpendicular to its orbital plane; equivalently, it is the angle between its equatorial plane and orbita ...
. Zero obliquity results in minimum (zero) continuous insolation at the poles and maximum continuous insolation at the equator. Any increase of obliquity (to 90 degrees) causes seasonal increase of insolation at the poles and causes decrease of insolation at the equator on any day of the year except an
equinox A solar equinox is a moment in time when the Sun appears directly above the equator, rather than to its north or south. On the day of the equinox, the Sun appears to rise directly east and set directly west. This occurs twice each year, arou ...
.
At fixed latitude, the size of the seasonal difference in sun angle (and thus the seasonal temperature variation) is equal to double the Earth's axial tilt. For example, with an axial tilt is 23°, and at a latitude of 45°, then the summer's peak sun angle is 68° (giving sin(68°) = 93%
insolation Solar irradiance is the power per unit area ( surface power density) received from the Sun in the form of electromagnetic radiation in the wavelength range of the measuring instrument. Solar irradiance is measured in watts per square metre ...
at the surface), while winter's least sun angle is 22° (giving sin(22°) = 37% insolation at the surface). Thus, the greater the axial tilt, the stronger the seasons' variations at a given latitude. In addition to seasonal variation at fixed latitude, the total annual surface) insolation as a ''function'' of latitude also depends on the axial tilt. At the equator (0° latitude), on the equinoxes, the sun angle is always 90° no matter the axial tilt, while on the solstices the minimum sun angle is equal to 90° minus the tilt. Therefore, greater tilt means a lower minimum for the same maximum: less total annual surface insolation at the equator. At the poles (90° latitude), on the equinoxes and during
polar night Polar night is a phenomenon that occurs in the polar regions of Earth, northernmost and southernmost regions of Earth when the Sun remains below the horizon for more than 24 hours. This only occurs inside the polar circles. The opposite phen ...
, the sun angle is always 0° or less no matter the axial tilt, while on the summer solstice, the maximum angle is equal to the tilt. Therefore, greater tilt means a higher maximum for the same minimum: more total annual surface insolation at the poles. Therefore, lesser tilt means a wider annual temperature gap between equator and poles, while greater tilt means a smaller annual temperature gap between equator and poles. (At an extreme tilt, such as that of
Uranus Uranus is the seventh planet from the Sun. It is a gaseous cyan-coloured ice giant. Most of the planet is made of water, ammonia, and methane in a Supercritical fluid, supercritical phase of matter, which astronomy calls "ice" or Volatile ( ...
, the poles can receive similar annual surface insolation to the equator.) In particular, at Earth temperatures, and all else being equal, greater tilt warms the poles and thus reduces polar ice coverage, while lesser tilt cools the poles and thus increases polar ice coverage. One of the first to publish on these effects was
Milutin Milanković Milutin Milanković (sometimes Anglicisation of names, anglicised as Milutin Milankovitch; sr-Cyrl, Милутин Миланковић, ; 28 May 1879 – 12 December 1958) was a Serbian mathematician, astronomer, climatologist, geophysics, geo ...
; the cyclic
effects Effect may refer to: * A result or change of something ** List of effects ** Cause and effect, an idiom describing causality Pharmacy and pharmacology * Drug effect, a change resulting from the administration of a drug ** Therapeutic effect, ...
of axial tilt, eccentricity, and other orbital parameters upon global climate were named Milanković cycles. Although individual mechanisms (such as axial tilt and sun angle) are thought to be understood, the overall impact of orbital forcing on global climate remains poorly constrained.


See also

*
Sun path Sun path, sometimes also called day arc, refers to the diurnal motion, daily (sunrise to sunset) and seasonal arc (geometry), arc-like path that the Sun appears to follow across the sky as the Earth Earth's rotation, rotates and Earth's orbi ...
*
Axial tilt In astronomy, axial tilt, also known as obliquity, is the angle between an object's rotational axis and its orbital axis, which is the line perpendicular to its orbital plane; equivalently, it is the angle between its equatorial plane and orbita ...
* Solar irradiance (insolation) * Orbital forcing * Milanković cycles


Notes


References

{{reflist Climate variability and change Seasons Atmospheric radiation