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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 (W/m ) in SI units .

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62-503: Charente-Maritime ( French pronunciation: [ʃaʁɑ̃t maʁitim] ; Poitevin-Saintongeais : Chérente-Marine ; Occitan : Charanta Maritima ) is a département in the Nouvelle-Aquitaine region on the southwestern coast of France . Named after the river Charente , its prefecture is La Rochelle . As of 2019, it had a population of 651,358 with an area of 6,864 square kilometres (2,650 sq mi). Previously

124-1086: A , b and c are arc lengths, in radians, of the sides of a spherical triangle. C is the angle in the vertex opposite the side which has arc length c . Applied to the calculation of solar zenith angle Θ , the following applies to the spherical law of cosines: C = h c = Θ a = 1 2 π − φ b = 1 2 π − δ cos ⁡ ( Θ ) = sin ⁡ ( φ ) sin ⁡ ( δ ) + cos ⁡ ( φ ) cos ⁡ ( δ ) cos ⁡ ( h ) {\displaystyle {\begin{aligned}C&=h\\c&=\Theta \\a&={\tfrac {1}{2}}\pi -\varphi \\b&={\tfrac {1}{2}}\pi -\delta \\\cos(\Theta )&=\sin(\varphi )\sin(\delta )+\cos(\varphi )\cos(\delta )\cos(h)\end{aligned}}} This equation can be also derived from

186-481: A clear day. When 1361 W/m is arriving above the atmosphere (when the Sun is at the zenith in a cloudless sky), direct sun is about 1050 W/m , and global radiation on a horizontal surface at ground level is about 1120 W/m . The latter figure includes radiation scattered or reemitted by the atmosphere and surroundings. The actual figure varies with the Sun's angle and atmospheric circumstances. Ignoring clouds,

248-464: A consensus of observations or theory, Q ¯ day {\displaystyle {\overline {Q}}^{\text{day}}} can be calculated for any latitude φ and θ . Because of the elliptical orbit, and as a consequence of Kepler's second law , θ does not progress uniformly with time. Nevertheless, θ  = 0° is exactly the time of the March equinox, θ  = 90°

310-421: A day is the average of Q over one rotation, or the hour angle progressing from h = π to h = −π : Q ¯ day = − 1 2 π ∫ π − π Q d h {\displaystyle {\overline {Q}}^{\text{day}}=-{\frac {1}{2\pi }}{\int _{\pi }^{-\pi }Q\,dh}} Let h 0 be

372-404: A decrease thereafter. PMOD instead presents a steady decrease since 1978. Significant differences can also be seen during the peak of solar cycles 21 and 22. These arise from the fact that ACRIM uses the original TSI results published by the satellite experiment teams while PMOD significantly modifies some results to conform them to specific TSI proxy models. The implications of increasing TSI during

434-407: A deep solar minimum of 2005–2010) to be +0.58 ± 0.15 W/m , +0.60 ± 0.17 W/m and +0.85 W/m . Estimates from space-based measurements range +3–7   W/m . SORCE/TIM's lower TSI value reduces this discrepancy by 1   W/m . This difference between the new lower TIM value and earlier TSI measurements corresponds to a climate forcing of −0.8   W/m , which is comparable to

496-1331: A more general formula: cos ⁡ ( Θ ) = sin ⁡ ( φ ) sin ⁡ ( δ ) cos ⁡ ( β ) + sin ⁡ ( δ ) cos ⁡ ( φ ) sin ⁡ ( β ) cos ⁡ ( γ ) + cos ⁡ ( φ ) cos ⁡ ( δ ) cos ⁡ ( β ) cos ⁡ ( h ) − cos ⁡ ( δ ) sin ⁡ ( φ ) sin ⁡ ( β ) cos ⁡ ( γ ) cos ⁡ ( h ) − cos ⁡ ( δ ) sin ⁡ ( β ) sin ⁡ ( γ ) sin ⁡ ( h ) {\displaystyle {\begin{aligned}\cos(\Theta )=\sin(\varphi )\sin(\delta )\cos(\beta )&+\sin(\delta )\cos(\varphi )\sin(\beta )\cos(\gamma )+\cos(\varphi )\cos(\delta )\cos(\beta )\cos(h)\\&-\cos(\delta )\sin(\varphi )\sin(\beta )\cos(\gamma )\cos(h)-\cos(\delta )\sin(\beta )\sin(\gamma )\sin(h)\end{aligned}}} where β

558-468: A part of the provinces of Saintonge and Aunis , Charente-Inférieure was one of the 83 original département created during the French Revolution on 4 March 1790. On 4 September 1941, during World War II, it was renamed as Charente-Maritime. When the département was first organised, the commune of Saintes was designated as the prefecture of the département (Saintes had previously been

620-426: A spectral graph as function of wavelength), or per- Hz (for a spectral function with an x-axis of frequency). When one plots such spectral distributions as a graph, the integral of the function (area under the curve) will be the (non-spectral) irradiance. e.g.: Say one had a solar cell on the surface of the earth facing straight up, and had DNI in units of W/m^2 per nm, graphed as a function of wavelength (in nm). Then,

682-401: A surface is largest when the surface directly faces (is normal to) the sun. As the angle between the surface and the Sun moves from normal, the insolation is reduced in proportion to the angle's cosine ; see effect of Sun angle on climate . In the figure, the angle shown is between the ground and the sunbeam rather than between the vertical direction and the sunbeam; hence the sine rather than

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744-879: A time series for a Q ¯ d a y {\displaystyle {\overline {Q}}^{\mathrm {day} }} for a particular time of year, and particular latitude, is a useful application in the theory of Milankovitch cycles. For example, at the summer solstice, the declination δ is equal to the obliquity  ε . The distance from the Sun is R o R E = 1 + e cos ⁡ ( θ − ϖ ) = 1 + e cos ⁡ ( π 2 − ϖ ) = 1 + e sin ⁡ ( ϖ ) {\displaystyle {\frac {R_{o}}{R_{E}}}=1+e\cos(\theta -\varpi )=1+e\cos \left({\frac {\pi }{2}}-\varpi \right)=1+e\sin(\varpi )} For this summer solstice calculation,

806-1003: Is sin ⁡ ( δ ) = sin ⁡ ( ε ) sin ⁡ ( θ ) {\displaystyle \sin(\delta )=\sin(\varepsilon )\sin(\theta )} . ) The conventional longitude of perihelion ϖ is defined relative to the March equinox, so for the elliptical orbit: R E = R o ( 1 − e 2 ) 1 + e cos ⁡ ( θ − ϖ ) {\displaystyle R_{E}={\frac {R_{o}(1-e^{2})}{1+e\cos(\theta -\varpi )}}} or R o R E = 1 + e cos ⁡ ( θ − ϖ ) 1 − e 2 {\displaystyle {\frac {R_{o}}{R_{E}}}={\frac {1+e\cos(\theta -\varpi )}{1-e^{2}}}} With knowledge of ϖ , ε and e from astrodynamical calculations and S o from

868-457: Is π r , in which r is the radius of the Earth. Because the Earth is approximately spherical , it has total area 4 π r 2 {\displaystyle 4\pi r^{2}} , meaning that the solar radiation arriving at the top of the atmosphere, averaged over the entire surface of the Earth, is simply divided by four to get 340   W/m . In other words, averaged over

930-411: Is a function of distance from the Sun, the solar cycle , and cross-cycle changes. Irradiance on the Earth's surface additionally depends on the tilt of the measuring surface, the height of the Sun above the horizon, and atmospheric conditions. Solar irradiance affects plant metabolism and animal behavior. The study and measurement of solar irradiance have several important applications, including

992-666: Is a language spoken in the regions of the Pays de la Loire and Nouvelle-Aquitaine . Poitevin–Saintongeais is officially recognised by the French Ministry of Culture as a language with two dialects: Poitevin and Saintongeais . The language belongs to the langues d'oïl subbranch of the Gallo-Romance languages. Some descendants of Poitevin–Saintongeais speakers became the Acadian people of Atlantic Canada as well as

1054-447: Is a number of a day of the year. Total solar irradiance (TSI) changes slowly on decadal and longer timescales. The variation during solar cycle 21 was about 0.1% (peak-to-peak). In contrast to older reconstructions, most recent TSI reconstructions point to an increase of only about 0.05% to 0.1% between the 17th century Maunder Minimum and the present. However, current understanding based on various lines of evidence suggests that

1116-403: Is a primary cause of the higher irradiance values measured by earlier satellites in which the precision aperture is located behind a larger, view-limiting aperture. The TIM uses a view-limiting aperture that is smaller than the precision aperture that precludes this spurious signal. The new estimate is from better measurement rather than a change in solar output. A regression model-based split of

1178-438: Is absorbed and the remainder reflected. Usually, the absorbed radiation is converted to thermal energy , increasing the object's temperature. Humanmade or natural systems, however, can convert part of the absorbed radiation into another form such as electricity or chemical bonds , as in the case of photovoltaic cells or plants . The proportion of reflected radiation is the object's reflectivity or albedo . Insolation onto

1240-916: Is an angle from the horizontal and γ is an azimuth angle . The separation of Earth from the Sun can be denoted R E and the mean distance can be denoted R 0 , approximately 1 astronomical unit (AU). The solar constant is denoted S 0 . The solar flux density (insolation) onto a plane tangent to the sphere of the Earth, but above the bulk of the atmosphere (elevation 100 km or greater) is: Q = { S o R o 2 R E 2 cos ⁡ ( Θ ) cos ⁡ ( Θ ) > 0 0 cos ⁡ ( Θ ) ≤ 0 {\displaystyle Q={\begin{cases}S_{o}{\frac {R_{o}^{2}}{R_{E}^{2}}}\cos(\Theta )&\cos(\Theta )>0\\0&\cos(\Theta )\leq 0\end{cases}}} The average of Q over

1302-680: Is exactly the time of the June solstice, θ  = 180° is exactly the time of the September equinox and θ  = 270° is exactly the time of the December solstice. A simplified equation for irradiance on a given day is: Q ≈ S 0 ( 1 + 0.034 cos ⁡ ( 2 π n 365.25 ) ) {\displaystyle Q\approx S_{0}\left(1+0.034\cos \left(2\pi {\frac {n}{365.25}}\right)\right)} where n

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1364-456: Is known as Milankovitch cycles . Distribution is based on a fundamental identity from spherical trigonometry , the spherical law of cosines : cos ⁡ ( c ) = cos ⁡ ( a ) cos ⁡ ( b ) + sin ⁡ ( a ) sin ⁡ ( b ) cos ⁡ ( C ) {\displaystyle \cos(c)=\cos(a)\cos(b)+\sin(a)\sin(b)\cos(C)} where

1426-2450: Is nearly constant over the course of a day, and can be taken outside the integral ∫ π − π Q d h = ∫ h o − h o Q d h = S o R o 2 R E 2 ∫ h o − h o cos ⁡ ( Θ ) d h = S o R o 2 R E 2 [ h sin ⁡ ( φ ) sin ⁡ ( δ ) + cos ⁡ ( φ ) cos ⁡ ( δ ) sin ⁡ ( h ) ] h = h o h = − h o = − 2 S o R o 2 R E 2 [ h o sin ⁡ ( φ ) sin ⁡ ( δ ) + cos ⁡ ( φ ) cos ⁡ ( δ ) sin ⁡ ( h o ) ] {\displaystyle {\begin{aligned}\int _{\pi }^{-\pi }Q\,dh&=\int _{h_{o}}^{-h_{o}}Q\,dh\\[5pt]&=S_{o}{\frac {R_{o}^{2}}{R_{E}^{2}}}\int _{h_{o}}^{-h_{o}}\cos(\Theta )\,dh\\[5pt]&=S_{o}{\frac {R_{o}^{2}}{R_{E}^{2}}}{\Bigg [}h\sin(\varphi )\sin(\delta )+\cos(\varphi )\cos(\delta )\sin(h){\Bigg ]}_{h=h_{o}}^{h=-h_{o}}\\[5pt]&=-2S_{o}{\frac {R_{o}^{2}}{R_{E}^{2}}}\left[h_{o}\sin(\varphi )\sin(\delta )+\cos(\varphi )\cos(\delta )\sin(h_{o})\right]\end{aligned}}} Therefore: Q ¯ day = S o π R o 2 R E 2 [ h o sin ⁡ ( φ ) sin ⁡ ( δ ) + cos ⁡ ( φ ) cos ⁡ ( δ ) sin ⁡ ( h o ) ] {\displaystyle {\overline {Q}}^{\text{day}}={\frac {S_{o}}{\pi }}{\frac {R_{o}^{2}}{R_{E}^{2}}}\left[h_{o}\sin(\varphi )\sin(\delta )+\cos(\varphi )\cos(\delta )\sin(h_{o})\right]} Let θ be

1488-492: Is often integrated over a given time period in order to report the radiant energy emitted into the surrounding environment ( joule per square metre, J/m ) during that time period. This integrated solar irradiance is called solar irradiation , solar exposure , solar insolation , or insolation . Irradiance may be measured in space or at the Earth's surface after atmospheric absorption and scattering . Irradiance in space

1550-560: Is served by the TGV at Surgères and La Rochelle . It can also be reached by motorway by the A10 (E5, Paris- Bordeaux ) and A837 (E602, Saintes-Rochefort). Poitevin-Saintongeais Poitevin–Saintongeais (French: poitevin–saintongeais , pronounced [pwatvɛ̃ sɛ̃tɔ̃ʒɛ] ; Poitevin–Saintongeais: poetevin-séntunjhaes ; also called Parlanjhe , Aguiain or Aguiainais in French)

1612-559: The 2022 legislative election , Charente-Maritime elected the following members of the National Assembly : In the Senate , Charente-Maritime is represented by three members : Daniel Laurent (since 2008), Corinne Imbert (since 2014) and Mickaël Vallet (since 2020). Popular destinations include La Rochelle , Royan , Saintes , Saint-Jean-d'Angély , Rochefort , the Île d'Aix , Île de Ré and Île d'Oléron . The department

1674-484: The Cajun people of Louisiana . The dialects of this language are peculiar to the historical regions and provinces of Poitou and Saintonge . It is classified as severely endangered by UNESCO . This article about French culture is a stub . You can help Misplaced Pages by expanding it . This article about Romance languages is a stub . You can help Misplaced Pages by expanding it . Insolation Solar irradiance

1736-544: The Paris and other metros are manufactured (see fr:Alstom Aytré ). It is a popular venue for tourism, with its picturesque medieval harbour and city walls. The inhabitants of the département are called Charentais-Maritimes . The President of the Departmental Council has been Dominique Bussereau ( LR ) since 2008. He was replaced by Sylvie Marcilly after the departmental elections of June 2021 . In

1798-869: The Seudre and the Garonne , in its downstream part, which is the estuary of the Gironde . The département includes the islands of Île de Ré , Île d'Aix , Ile d'Oléron and Île Madame . The département forms the northern part of the Aquitaine Basin . It is separated from the Massif Armoricain by the Marais Poitevin to the north-west and from the Parisian basin by the Seuil du Poitou to

1860-472: The signal-to-noise ratio , respectively. The net effect of these corrections decreased the average ACRIM3 TSI value without affecting the trending in the ACRIM Composite TSI. Differences between ACRIM and PMOD TSI composites are evident, but the most significant is the solar minimum-to-minimum trends during solar cycles 21 - 23 . ACRIM found an increase of +0.037%/decade from 1980 to 2000 and

1922-631: The ACRIM III data that is nearly in phase with the Sun-Earth distance and 90-day spikes in the VIRGO data coincident with SoHO spacecraft maneuvers that were most apparent during the 2008 solar minimum. TIM's high absolute accuracy creates new opportunities for measuring climate variables. TSI Radiometer Facility (TRF) is a cryogenic radiometer that operates in a vacuum with controlled light sources. L-1 Standards and Technology (LASP) designed and built

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1984-1040: The Earth Radiometer Budget Experiment (ERBE) on the Earth Radiation Budget Satellite (ERBS), VIRGO on the Solar Heliospheric Observatory (SoHO) and the ACRIM instruments on the Solar Maximum Mission (SMM), Upper Atmosphere Research Satellite (UARS) and ACRIMSAT . Pre-launch ground calibrations relied on component rather than system-level measurements since irradiance standards at the time lacked sufficient absolute accuracies. Measurement stability involves exposing different radiometer cavities to different accumulations of solar radiation to quantify exposure-dependent degradation effects. These effects are then compensated for in

2046-463: The Earth moving between its perihelion and aphelion , or changes in the latitudinal distribution of radiation. These orbital changes or Milankovitch cycles have caused radiance variations of as much as 25% (locally; global average changes are much smaller) over long periods. The most recent significant event was an axial tilt of 24° during boreal summer near the Holocene climatic optimum . Obtaining

2108-473: The TRF in both optical power and irradiance. The resulting high accuracy reduces the consequences of any future gap in the solar irradiance record. The most probable value of TSI representative of solar minimum is 1 360 .9 ± 0.5 W/m , lower than the earlier accepted value of 1 365 .4 ± 1.3 W/m , established in the 1990s. The new value came from SORCE/TIM and radiometric laboratory tests. Scattered light

2170-646: The TSI record is not sufficiently stable to discern solar changes on decadal time scales. Only the ACRIM composite shows irradiance increasing by ~1   W/m  between 1986 and 1996; this change is also absent in the model. Recommendations to resolve the instrument discrepancies include validating optical measurement accuracy by comparing ground-based instruments to laboratory references, such as those at National Institute of Science and Technology (NIST); NIST validation of aperture area calibrations uses spares from each instrument; and applying diffraction corrections from

2232-532: The beaches of the presqu'île d' Arvert and the island of Oléron . At the end of the war, the two last pockets of German resistance were both in this area: at La Rochelle in the north and Royan in the south. Despite Royan having been nearly destroyed during an RAF bombing raid on 5 January 1945, the town was not liberated by the French Forces of the Interior until April of the same year. La Rochelle

2294-626: The capital of Saintonge ). This changed in 1810 when Napoleon passed an imperial decree to move the prefecture to La Rochelle . During World War II , the département was invaded by the German Army and became part of occupied France . To provide defence against a possible beach landing by the Allies , the Organisation Todt constructed a number of sea defences in the area. Defences such as pillboxes are particularly noticeable on

2356-442: The cavity, electronic degradation of the heater, surface degradation of the precision aperture and varying surface emissions and temperatures that alter thermal backgrounds. These calibrations require compensation to preserve consistent measurements. For various reasons, the sources do not always agree. The Solar Radiation and Climate Experiment/Total Irradiance Measurement ( SORCE /TIM) TSI values are lower than prior measurements by

2418-407: The cavity. This design admits into the front part of the instrument two to three times the amount of light intended to be measured; if not completely absorbed or scattered, this additional light produces erroneously high signals. In contrast, TIM's design places the precision aperture at the front so that only desired light enters. Variations from other sources likely include an annual systematics in

2480-451: The conventional polar angle describing a planetary orbit . Let θ  = 0 at the March equinox . The declination δ as a function of orbital position is δ = ε sin ⁡ ( θ ) {\displaystyle \delta =\varepsilon \sin(\theta )} where ε is the obliquity . (Note: The correct formula, valid for any axial tilt,

2542-426: The daily average insolation for the Earth is approximately 6 kWh/m = 21.6 MJ/m . The output of, for example, a photovoltaic panel, partly depends on the angle of the sun relative to the panel. One Sun is a unit of power flux , not a standard value for actual insolation. Sometimes this unit is referred to as a Sol, not to be confused with a sol , meaning one solar day . Part of the radiation reaching an object

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2604-499: The electrical heating needed to maintain an absorptive blackened cavity in thermal equilibrium with the incident sunlight which passes through a precision aperture of calibrated area. The aperture is modulated via a shutter . Accuracy uncertainties of < 0.01% are required to detect long term solar irradiance variations, because expected changes are in the range 0.05–0.15   W/m per century. In orbit, radiometric calibrations drift for reasons including solar degradation of

2666-409: The energy imbalance. In 2014 a new ACRIM composite was developed using the updated ACRIM3 record. It added corrections for scattering and diffraction revealed during recent testing at TRF and two algorithm updates. The algorithm updates more accurately account for instrument thermal behavior and parsing of shutter cycle data. These corrected a component of the quasi-annual spurious signal and increased

2728-453: The final data. Observation overlaps permits corrections for both absolute offsets and validation of instrumental drifts. Uncertainties of individual observations exceed irradiance variability (~0.1%). Thus, instrument stability and measurement continuity are relied upon to compute real variations. Long-term radiometer drifts can potentially be mistaken for irradiance variations which can be misinterpreted as affecting climate. Examples include

2790-533: The global warming of the last two decades of the 20th century are that solar forcing may be a marginally larger factor in climate change than represented in the CMIP5 general circulation climate models . Average annual solar radiation arriving at the top of the Earth's atmosphere is roughly 1361   W/m . The Sun's rays are attenuated as they pass through the atmosphere , leaving maximum normal surface irradiance at approximately 1000   W/m at sea level on

2852-495: The highest in Western France including southernmost sea resorts such as Biarritz . Average extreme temperatures vary from 39 °C (102 °F) in summer to −5 °C (23 °F) in winter (as of 2022). The economy of Charente-Maritime is based on three major sectors: tourism , maritime industry , and manufacturing . Cognac and pineau are two of the major agricultural products with maize and sunflowers being

2914-844: The hour angle when Q becomes positive. This could occur at sunrise when Θ = 1 2 π {\displaystyle \Theta ={\tfrac {1}{2}}\pi } , or for h 0 as a solution of sin ⁡ ( φ ) sin ⁡ ( δ ) + cos ⁡ ( φ ) cos ⁡ ( δ ) cos ⁡ ( h o ) = 0 {\displaystyle \sin(\varphi )\sin(\delta )+\cos(\varphi )\cos(\delta )\cos(h_{o})=0} or cos ⁡ ( h o ) = − tan ⁡ ( φ ) tan ⁡ ( δ ) {\displaystyle \cos(h_{o})=-\tan(\varphi )\tan(\delta )} If tan( φ ) tan( δ ) > 1 , then

2976-574: The issue of the irradiance increase between cycle minima in 1986 and 1996, evident only in the ACRIM composite (and not the model) and the low irradiance levels in the PMOD composite during the 2008 minimum. Despite the fact that ACRIM I, ACRIM II, ACRIM III, VIRGO and TIM all track degradation with redundant cavities, notable and unexplained differences remain in irradiance and the modeled influences of sunspots and faculae . Disagreement among overlapping observations indicates unresolved drifts that suggest

3038-508: The lower values for the secular trend are more probable. In particular, a secular trend greater than 2 Wm is considered highly unlikely. Ultraviolet irradiance (EUV) varies by approximately 1.5 percent from solar maxima to minima, for 200 to 300 nm wavelengths. However, a proxy study estimated that UV has increased by 3.0% since the Maunder Minimum. Some variations in insolation are not due to solar changes but rather due to

3100-426: The north-east. The highest point in the département is in the woods of Chantemerlière, near the commune of Contré in the north-east, and rises to 173 m. The most populous commune is La Rochelle , the prefecture. As of 2019, there are 7 communes with more than 8,000 inhabitants: The climate is mild and sunny, with less than 900 mm of precipitation per year and with insolation being remarkably high, in fact,

3162-514: The others. Charente-Maritime is the headquarters of the major oyster producer Marennes-Oléron. Oysters cultivated here are shipped across Europe. Rochefort is a shipbuilding site and has been a major French naval base since 1665. La Rochelle is a seat of major French industry. Just outside the city, in Aytré , is a factory for the French engineering giant Alstom , where the TGV , the cars for

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3224-437: The prediction of energy generation from solar power plants , the heating and cooling loads of buildings, climate modeling and weather forecasting, passive daytime radiative cooling applications, and space travel. There are several measured types of solar irradiance. Spectral versions of the above irradiances (e.g. spectral TSI , spectral DNI , etc.) are any of the above with units divided either by meter or nanometer (for

3286-630: The reference radiometer and the instrument under test in a common vacuum system that contains a stationary, spatially uniform illuminating beam. A precision aperture with an area calibrated to 0.0031% (1 σ ) determines the beam's measured portion. The test instrument's precision aperture is positioned in the same location, without optically altering the beam, for direct comparison to the reference. Variable beam power provides linearity diagnostics, and variable beam diameter diagnoses scattering from different instrument components. The Glory/TIM and PICARD/PREMOS flight instrument absolute scales are now traceable to

3348-497: The relative proportion of sunspot and facular influences from SORCE/TIM data accounts for 92% of observed variance and tracks the observed trends to within TIM's stability band. This agreement provides further evidence that TSI variations are primarily due to solar surface magnetic activity. Instrument inaccuracies add a significant uncertainty in determining Earth's energy balance . The energy imbalance has been variously measured (during

3410-660: The role of the elliptical orbit is entirely contained within the important product e sin ⁡ ( ϖ ) {\displaystyle e\sin(\varpi )} , the precession index, whose variation dominates the variations in insolation at 65°   N when eccentricity is large. For the next 100,000 years, with variations in eccentricity being relatively small, variations in obliquity dominate. The space-based TSI record comprises measurements from more than ten radiometers and spans three solar cycles. All modern TSI satellite instruments employ active cavity electrical substitution radiometry . This technique measures

3472-392: The sun does not set and the sun is already risen at h = π , so h o = π . If tan( φ ) tan( δ ) < −1 , the sun does not rise and Q ¯ day = 0 {\displaystyle {\overline {Q}}^{\text{day}}=0} . R o 2 R E 2 {\displaystyle {\frac {R_{o}^{2}}{R_{E}^{2}}}}

3534-625: The system, completed in 2008. It was calibrated for optical power against the NIST Primary Optical Watt Radiometer, a cryogenic radiometer that maintains the NIST radiant power scale to an uncertainty of 0.02% (1 σ ). As of 2011 TRF was the only facility that approached the desired <0.01% uncertainty for pre-launch validation of solar radiometers measuring irradiance (rather than merely optical power) at solar power levels and under vacuum conditions. TRF encloses both

3596-409: The top of the Earth's atmosphere is about 1361   W/m . This represents the power per unit area of solar irradiance across the spherical surface surrounding the Sun with a radius equal to the distance to the Earth (1   AU ). This means that the approximately circular disc of the Earth, as viewed from the Sun, receives a roughly stable 1361   W/m at all times. The area of this circular disc

3658-443: The unit of the integral (W/m^2) is the product of those two units. The SI unit of irradiance is watts per square metre (W/m = Wm ). The unit of insolation often used in the solar power industry is kilowatt hours per square metre (kWh/m ). The Langley is an alternative unit of insolation. One Langley is one thermochemical calorie per square centimetre or 41,840   J/m . The average annual solar radiation arriving at

3720-471: The view-limiting aperture. For ACRIM, NIST determined that diffraction from the view-limiting aperture contributes a 0.13% signal not accounted for in the three ACRIM instruments. This correction lowers the reported ACRIM values, bringing ACRIM closer to TIM. In ACRIM and all other instruments but TIM, the aperture is deep inside the instrument, with a larger view-limiting aperture at the front. Depending on edge imperfections this can directly scatter light into

3782-469: The year and the day, the Earth's atmosphere receives 340   W/m from the Sun. This figure is important in radiative forcing . The distribution of solar radiation at the top of the atmosphere is determined by Earth's sphericity and orbital parameters. This applies to any unidirectional beam incident to a rotating sphere. Insolation is essential for numerical weather prediction and understanding seasons and climatic change . Application to ice ages

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3844-645: Was finally liberated on 9 May 1945. Charente-Maritime is part of the Nouvelle-Aquitaine administrative region. It is surrounded by the départements of Gironde , Charente , Deux-Sèvres , Dordogne and Vendée . It has a land area of 6864 km and 651,358 inhabitants as of 2019. The important rivers are the Charente and its tributaries, the Boutonne and the Seugne , along with the Sèvre Niortaise ,

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