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Solar constant

The solar constant, also known as the total solar irradiance (TSI), is defined as the amount of solar received per unit area by a hypothetical surface to the Sun's rays at the mean Earth-Sun distance of one (AU), or approximately 149.6 million kilometers, outside Earth's atmosphere. It quantifies the total power from across all wavelengths and serves as a fundamental parameter in and , with a measured value of 1361.6 ± 0.3 W/m² based on observations during the 2019 . Despite its name, the solar constant is not truly fixed; it exhibits short-term fluctuations on timescales from minutes to days due to solar surface activity, such as sunspots and faculae, and longer-term variations of about 0.1% over the 11-year driven by changes in the Sun's magnetic activity. Additionally, Earth's elliptical causes a seasonal variation of approximately ±3.5% in the received , though the solar constant specifically refers to the value normalized to 1 . These variations, while small, are monitored precisely because they influence Earth's energy budget and dynamics. Precise measurements of the solar constant have been conducted from space since 1978 using instruments on satellites like the Solar Radiation and Climate Experiment (SORCE) and the Total and Solar Irradiance Sensor (TSIS-1) on the , which provide data on both and with high accuracy after correcting for instrument degradation. The TSI is the primary solar energy input to Earth's climate system, driving atmospheric and oceanic circulations, the hydrologic cycle, weather patterns, and maintaining habitable surface temperatures through processes like and heat redistribution. Understanding its value and variability is crucial for modeling global energy balance, assessing solar influences on , and calibrating climate simulations.

Definition and Fundamentals

Definition

The solar constant is defined as the amount of incoming solar received per area at the top of Earth's atmosphere, measured on a surface to the Sun's rays at the mean of from (one ), and averaged over time to account for and activity. This term is synonymous with total , representing the total power from the entire solar spectrum integrated over all wavelengths. Solar radiation consists of electromagnetic waves spanning the spectrum from to wavelengths, originating from the Sun's and outer atmosphere. It is termed "constant" because it denotes a value that remains relatively stable over short timescales when measured at a fixed from , despite minor fluctuations from such as sunspots and faculae. In , the solar constant serves as the primary energy input to the planet's , powering , ocean currents, weather patterns, and the overall energy balance that sustains life.

Current Value and Units

The solar constant is currently accepted as 1361.6 ± 0.3 W/m², based on measurements from NASA's Total and Spectral Irradiance Sensor (TSIS-1) onboard the during the 2019 . This value represents a minor downward adjustment from earlier satellite-based estimates of approximately 1366 W/m², prior to the Solar Radiation and Climate Experiment (SORCE), which helped establish the lower value around 1361 W/m². The measurement was taken under solar minimum conditions to provide a baseline representative of the Sun's average output. The primary unit for the solar constant is watts per square meter (W/m²), denoting the power density of solar radiation incident on a surface to the incoming rays. Historically, values were reported in calories per square centimeter per minute (cal/cm²/min), equivalent to roughly 1.95 cal/cm²/min for modern estimates, or in per unit time, where 1 equals 1 cal/cm² as a measure of cumulative exposure. Advancements in instrumentation have achieved measurement precision with uncertainties below 0.03%, a significant improvement over ground-based observations, which were hampered by atmospheric and , resulting in errors of about 1% or greater. The solar constant is standardized as the at a mean distance of 1 () from , scaling inversely with the square of the distance for locations farther or closer to .

Measurement and Calculation

Historical Methods

The earliest attempts to quantify the solar constant relied on ground-based instruments susceptible to environmental interference. In 1838, French physicist Claude Pouillet constructed the first , a device featuring a blackened disk exposed to direct to heat surrounding water, whose temperature rise was measured to estimate incoming radiation; this yielded a value of approximately 1220 W/m² after corrections for reflection and atmospheric effects. During his expedition from 1834 to 1838, British astronomer performed visual estimates of solar radiation intensity at the , employing his invented actinometer—a mercury modified to track rates in under —to assess heating power qualitatively and contribute to initial conceptualizations of solar energy flux. Early 20th-century advancements introduced more systematic approaches, though still limited by terrestrial conditions. In 1905, Swedish physicist Knut Ångström employed water-flow calorimeters, where solar-heated water flow rates were balanced against known electrical heating to derive , resulting in estimates ranging from 1320 to 1350 W/m². Concurrently, from 1902 onward, Charles G. Abbot and Frank E. Fowle at the initiated extensive campaigns using enhanced pyrheliometers and bolometers at high-altitude sites like ; their data from 1902 through the 1920s averaged about 1350 W/m², with Abbot coining the term "solar constant" in 1902 to denote the mean at 1 , independent of Earth's orbit. These ground-based methods, primarily pyrheliometers and calorimeters, grappled with inherent limitations such as selective by atmospheric and aerosols, necessitating empirical corrections that introduced uncertainties of several percent; space-based observations were unavailable until the mid-20th century to eliminate such distortions. This era's efforts established foundational techniques, paving the way for the satellite era beginning in the 1970s, which delivered the first direct, atmosphere-free measurements.

Modern Space-Based Techniques

Modern space-based measurements of the , also known as total (TSI), began in the late 1970s with missions that provided unprecedented accuracy by avoiding 's atmospheric and . The Nimbus-7 , launched in 1978 and operational until 1993, was the first to deliver long-term TSI data, establishing a value of approximately 1367 W/m² using its (ERB) . Subsequent missions in the ACRIM (Active Cavity Monitor) series, starting with ACRIM1 on the Solar Maximum Mission in 1980 and continuing through ACRIM3 on the ACRIMSat platform until 2013, enabled continuous monitoring of TSI variations over multiple solar cycles, with mean values around 1365–1366 W/m² during solar minima. Later missions refined these measurements further. The Solar Radiation and Climate Experiment (SORCE), operational from 2003 to 2020, utilized the Total Irradiance Monitor (TIM) to report a TSI value of 1361 W/m² at the 2008 solar minimum, representing a downward revision based on improved calibration. Currently, the Total and Spectral Irradiance Sensor (TSIS-1), deployed on the since 2017, continues this legacy with a precision TSI measurement of 1361.6 ± 0.3 W/m² during the 2019 , ensuring data continuity into the present. Central to these advancements is the Total Irradiance Monitor (TIM) instrument, employed on SORCE, TSIS-1, and related flights, which uses electrical substitution radiometers (ESRs) to directly equate incoming solar radiant flux to an equivalent electrical power. This design measures absolute irradiance without reliance on external calibration sources, minimizing drift to less than 0.001% per year and achieving an absolute accuracy of about 0.035%. Data from these missions are processed to derive the solar constant by averaging measurements over the Sun's 27-day rotation period to smooth effects and across 11-year solar cycles to capture long-term trends. Composite datasets, such as those developed by the Physikalisch-Meteorologisches Observatorium /World Radiation Center (PMOD/WRC), integrate records from Nimbus-7, ACRIM, SORCE, and TSIS-1 to provide a seamless TSI spanning over four decades, with adjustments for instrumental offsets ensuring consistency at the 0.1% level. These space-based techniques offer significant advantages over historical ground-based methods, which suffered from up to 3–5% uncertainties due to atmospheric ; satellite observations eliminate such interference, routinely achieving precisions of 0.01% or better for TSI determinations.

Calculations for Extrasolar Systems

The effective stellar flux, or stellar constant, for is calculated by adapting the solar constant as a baseline through the , which states that the from a decreases with the square of the from the . For a orbiting a other than , the flux S_p at the 's semi-major axis a_p (in ) is derived from the solar constant S_0, the ratio of the 's L_\star to the Sun's L_\odot, and the ratio of 's semi-major axis a_E = 1 to a_p. The derivation begins with the general expression for stellar flux: S = \frac{L}{4\pi a^2}, where L is the bolometric and a is the orbital . For , S_0 = \frac{L_\odot}{4\pi a_E^2}. Thus, for the , S_p = \frac{L_\star}{4\pi a_p^2} = S_0 \times \frac{L_\star}{L_\odot} \times \left( \frac{a_E}{a_p} \right)^2. This formula scales the known solar value to account for differences in stellar output and orbital separation, enabling estimates of insolation without direct measurement. This scaling principle is fundamental to (HZ) calculations, where the HZ is defined as the orbital range receiving fluxes between approximately 0.95 and 1.37 times Earth's value for conservative boundaries, adjusted for stellar type. The seminal framework for HZ delineation, which relies on this flux formula to parameterize insolation, was established by modeling atmospheric greenhouse effects and water retention limits around main-sequence stars. Subsequent refinements incorporate updated values, such as the 1361.1 W/m² baseline from composite total records, to refine HZ boundaries in models post-2018. For instance, luminosities L_\star / L_\odot are derived from stellar effective temperatures and radii via the Stefan-Boltzmann law, L_\star = 4\pi R_\star^2 \sigma T_\star^4, with parameters from and parallaxes. Applications of this formula are evident in analyses of systems like , where Proxima b at a_p \approx 0.049 AU around a star with L_\star / L_\odot \approx 0.0015 yields S_p \approx 0.65 S_0, placing it near the inner HZ edge despite the faint . Similarly, for the system (L_\star / L_\odot \approx 0.0005), planets e, f, and g receive normalized fluxes of approximately 0.38, 0.20, and 0.07 times Earth's, respectively, allowing multiple worlds to fall within the HZ due to close orbits. These estimates, derived from and radial-velocity data from missions like Kepler and TESS, inform assessments by quantifying energy available for liquid water. Challenges in these calculations arise from uncertainties in stellar parameters, particularly (typically ±5-10% from spectral modeling) and precise a_p (from orbital fits), which propagate to errors of up to 20% for nearby systems. For dim M-dwarfs like , bolometric corrections are critical to avoid underestimating L_\star, and effects can alter local insolation distribution, though the global average follows the inverse square scaling. Recent models mitigate these by integrating high-precision distances and updated composites, enhancing reliability for HZ predictions.

Relationships to Solar Parameters

Connection to Total Solar Irradiance

The solar constant represents the broadband integral of the total solar irradiance (TSI), which quantifies the total radiant energy from across the full , typically from 100 nm to 50,000 nm, at a distance of 1 (AU) from , without including reflected light from or other celestial bodies. This integration captures the complete power flux incident on a unit area perpendicular to the solar rays, serving as a fundamental parameter for understanding . TSI itself is derived from the spectral solar irradiance (SSI), the power per unit area per wavelength interval, by summing or integrating SSI over all wavelengths; approximately 99% of this energy lies within the 250–2500 nm range, encompassing ultraviolet, visible, and near-infrared contributions. While TSI integrates SSI, variations in UV SSI (e.g., during solar cycles) contribute disproportionately to total changes despite comprising <10% of energy. This spectral integration highlights how the solar constant aggregates diverse wavelength bands into a single metric of total incoming solar power, essential for climate modeling and space weather studies. Satellite-based TSI composites, constructed from overlapping measurements by instruments on missions such as SORCE and TSIS-1, monitor short-term fluctuations and long-term trends in irradiance, with the solar constant defined as the time-averaged TSI value at 1 under mean Earth-Sun distance conditions. These composites reveal variations on the order of 0.1% over the 11-year , underscoring the solar constant's role as a stable reference amid dynamic solar activity. The current mean TSI value from such composites is approximately 1361 W/m² (as of ). In contrast to partial irradiances, which isolate subsets like (below 400 nm) or (above 700 nm) for specialized applications in or modeling, the constant emphasizes the full-spectrum power delivery, integrating all components to provide a holistic view of solar influence on planetary systems. This comprehensive approach distinguishes it as the primary benchmark for total solar energy input. The Sun's apparent visual magnitude, measured at -26.74 in the V-band, quantifies its brightness as observed from Earth at a mean distance of 1 astronomical unit. This value connects to the solar constant through the standard astronomical flux-magnitude relation, expressed as m = -2.5 \log_{10} (F / F_0), where m is the apparent magnitude, F is the flux in W/m², and F_0 is the zero-point flux defining magnitude zero in the V-band. Rearranging the formula gives F = F_0 \times 10^{-0.4 m}. For , substituting m = -26.74 and the V-band zero-point flux—calibrated to Vega's flux integrated over the effective near 550 nm—yields a visible-band of approximately 550 W/m². This V-band value represents the primary visible portion (~40%) of the total ; combining it with fluxes from other spectral bands (UV and IR) accounts for the full broadband solar constant of 1361 W/m². This derivation demonstrates consistency between visual observations and total irradiance measurements. Early astronomical observations of the Sun's , dating back to the 19th century, informed initial estimates of by providing a standardized for comparing the Sun's to other celestial objects and laboratory light sources, aiding the development of pyrheliometric techniques. A key limitation of this connection is that emphasizes the visible spectrum (approximately 400–700 nm), where human vision is most sensitive, whereas the solar constant measures total energy across all wavelengths from to .

Relation to Solar Luminosity

The solar constant S represents the total at Earth's mean orbital distance and is directly derived from the Sun's bolometric L_\odot, the total power radiated by across all wavelengths, via the for radiation . The fundamental relation is given by S = \frac{L_\odot}{4 \pi d^2}, where d is the (AU), defined exactly as $1.495978707 \times 10^{11} m by the (IAU). The IAU has established a nominal solar luminosity of L_\odot = 3.828 \times 10^{26} W, based on high-precision space-based measurements of total and the fixed AU value. Substituting these into the formula yields S = \frac{3.828 \times 10^{26}}{4 \pi (1.495978707 \times 10^{11})^2} \approx 1360.8 \, \mathrm{W/m^2}. This calculated value aligns closely with direct measurements from satellites like the Solar Radiation and Climate Experiment (SORCE), which reported an average total of approximately 1361 W/m². Since the AU is defined with zero uncertainty, the relative error in S propagates directly from the uncertainty in L_\odot. The nominal L_\odot carries an uncertainty of about 0.45% (primarily from irradiance measurements), leading to \Delta S / S \approx 0.45\%, or roughly ±6 W/m² for the derived solar constant. This error is consistent with observed variations in space-based irradiance data, where absolute calibration uncertainties are on the order of 0.1–0.5%. The solar luminosity itself is observationally determined from the measured and via the inverse relation L_\odot = S \times 4 \pi d^2, providing a direct empirical value. Independent theoretical estimates arise from standard solar models, which compute L_\odot by integrating generation rates (primarily from the proton-proton ) with equations of , , and energy transport, yielding values within 1% of the observed when calibrated to the Sun's known , , and . These models are further validated and refined using helioseismology, which probes the solar interior through analysis of p-mode oscillation frequencies to constrain density, temperature, and composition profiles that influence energy production and output. This luminosity-irradiance relation has broader implications for stellar astrophysics, enabling the scaling of the solar constant analog to other stars by substituting their measured or modeled luminosities L_* into the formula, adjusted for planetary orbital distances, to estimate insolation levels and potential zones.

Variations and Influences

Long-Term Solar Cycle Variations

The solar constant, or total (TSI), undergoes periodic fluctuations over the 11-year , with variations typically ranging from 0.1% peak-to-trough, equivalent to about 1-2 W/m². These changes are driven by competing effects on the solar surface: sunspots, which darken and reduce outgoing radiation, and faculae, bright regions that enhance it, resulting in a net cyclic modulation aligned with solar activity levels. Satellite observations since 1978, compiled in datasets like the Active Cavity Radiometer Monitor (ACRIM) and Physikalisch-Meteorologisches Observatorium (PMOD) records, reveal these cycle-induced swings but no significant long-term upward or downward trend in the mean TSI value over multiple cycles. On longer geological timescales, such as centuries to millennia, TSI reconstructions from historical records and proxies indicate more subdued intrinsic variations. During the —a period of exceptionally low activity from 1645 to 1715—model-based estimates suggest TSI was reduced by approximately 0.2-0.4% relative to modern quiet-Sun levels, corresponding to a decrease of 2-4 W/m². Paleoclimate indicators, including cosmogenic 10Be isotopes preserved in ice cores, further support variability amplitudes of 0.1-0.25% over millennial scales, reflecting modulations in solar magnetic activity and heliospheric modulation of cosmic rays. Recent space-based measurements from the Total and Spectral Irradiance Sensor (TSIS-1) on the , operational since 2017, continue to track TSI through , which reached its maximum phase around 2025. As of November 2025, data indicate continued high activity with strong solar flares, potentially featuring a double-peaked maximum, but show minimal net change in baseline irradiance levels from the preceding minimum, with no evidence of an upward trend that some earlier analyses had proposed for long-term brightening. Continuity in monitoring ensures these observations align with the stable PMOD composite since 1978. Although these and longer-term TSI fluctuations influence , their magnitude is small relative to anthropogenic drivers of recent . Studies attribute only a minor fraction of 20th- and 21st-century to solar variability, far overshadowed by the from increasing concentrations.

Orbital and Geometric Effects

The Earth's elliptical around the Sun causes the between the two to vary annually, resulting in an instantaneous solar constant that fluctuates by approximately ±3.3% around its mean value. This geometric effect peaks in early at perihelion, when Earth is about 147 million km from the Sun, and reaches its minimum in early at aphelion, about 152 million km away. These distance changes directly scale the solar irradiance inversely with the square of the Earth-Sun distance, yielding values of roughly 1412 W/ at perihelion and 1321 W/ at aphelion, compared to the annual mean of about 1366 W/. The instantaneous solar constant S(t) can be approximated as S(t) = S_{\text{mean}} \left(1 - e \cos E\right)^{-2}, where e \approx 0.0167 is the and E is the . While the solar constant is conventionally quoted as the time-averaged value over a full to represent the mean at , the underlying daily values exhibit these predictable geometric variations throughout the year. On millennial timescales, drive long-term changes in Earth's with a dominant period of about 100,000 years, modulating the mean solar constant by roughly 0.1% through the time-averaged effect of 1/r² and influencing global insolation patterns.

Atmospheric and Observational Variations

The Earth's atmosphere significantly attenuates the incoming from the top-of-the-atmosphere (TOA) value, primarily through and processes that reduce the total reaching the surface by approximately 20-30% under clear-sky conditions. in the absorbs ultraviolet radiation, while in the absorbs wavelengths, and aerosols scatter and absorb across the spectrum. Clear-sky transmission typically allows about 70% of the solar irradiance to reach the surface, with variations depending on atmospheric composition and path length. Diurnal variations arise from changes in the , which increases the —the effective path length through the atmosphere—as moves from overhead to the horizon, enhancing attenuation by up to 20-50% in the late afternoon or early morning. Weather effects, particularly , introduce substantial short-term fluctuations; partial cloudiness can reduce surface by 50-70%, while overcast conditions may block up to 100% of direct beam radiation locally, though diffuse can partially compensate. Ground-based observations of are prone to biases from local atmospheric conditions, such as elevated that increases and can lead to underestimations of clear-sky values by 5-10% relative to measurements of TSI. In contrast, instruments, operating above the atmosphere, directly capture the true TOA solar constant without these distortions, providing a more consistent baseline for long-term monitoring. Recent events in the highlight the role of transient aerosols in affecting Earth's radiative balance, though not the incoming TSI itself. The 2022 Hunga Tonga-Hunga Ha'apai eruption injected sulfate aerosols into the , increasing planetary and reducing net shortwave absorption by the by approximately 0.6 W/m² through enhanced , though the net radiative effect was modulated by concurrent water vapor increases. Similarly, widespread wildfires, such as those in during 2020, produced smoke plumes that attenuated surface by 10-30% during peak smoke periods, with aerosols sunlight and lowering effective values for ground-based assessments. These episodes underscore how episodic aerosol loading can introduce short-term changes in Earth's , distinct from intrinsic solar output variations measured as TSI.

References

  1. [1]
    About Solar Irradiance | Earth - NASA
    Solar irradiance is the solar energy flux density outside Earth's atmosphere at a distance from the Sun of 1 Astronomical Unit (AU), given in SI units of Watts ...
  2. [2]
    Solar Irradiance Science | Earth - NASA
    The total solar irradiance (TSI), or the so-called solar constant, is the integrated solar energy arriving at Earth. But it is not a constant. It changes by ~ ...
  3. [3]
    Earth Orbit Environmental Heating - NASA Lessons Learned
    SOLAR CONSTANT. The nominal solar constant value is 1367.5 W/m2. The variation of the earth-sun distance causes a ± 3.5% seasonal variation from nominal. The ...
  4. [4]
    Solar Irradiance | Earth - NASA
    Solar radiation ensures the maintenance of the appropriate range of temperatures for the sustenance of life on Earth, by driving land surface heating, plant ...
  5. [5]
    [PDF] the solar constant and the solar spectrum
    The solar constant is the amount of total solar energy of all wavelengths received per unit time per unit area exposed normally to the sun's rays at the average ...<|control11|><|separator|>
  6. [6]
    [PDF] SDO - Solar Dynamics Observatory - NASA
    Sun “the solar constant,” and they set out to mea- sure it as they would any constant of Nature. By definition, the solar constant is the amount of solar ...
  7. [7]
    4.1.2 what is the nature of light radiated by the sun? - NASA
    About 99% of the total electromagnetic radiation coming from the Sun is in the ultraviolet-visible-infrared region. The spectrum of the solar radiation ...
  8. [8]
    Climate and Earth's Energy Budget - NASA Earth Observatory
    Jan 14, 2009 · Because the maximum possible amount of incoming sunlight is fixed by the solar constant (which depends only on Earth's distance from the Sun ...Missing: definition | Show results with:definition
  9. [9]
    [PDF] N82' 170i - NASA Technical Reports Server (NTRS)
    Historically the measurement of the solar constant begins in 1837 (see ref. I). Pouillet constructed a pyrheliometer consisting of a blackened copper container ...
  10. [10]
    Pouillet, Herschel, Forbes and the solar constant: Annals of Science
    Aug 22, 2006 · Inspired by early-nineteenth-century discoveries about heat transfer, the French physicist Claude Pouillet measured the influx of solar ...
  11. [11]
    [PDF] SURVEY of the LITERATURE on the SOLAR CONSTANT and the ...
    These three corrections, when added to 1.835 yield the final value of the solar constant; 2.002 cal/cm2-min. ... Solar Constant from a Satellite," NASA Technical.
  12. [12]
    The Smithsonian Astrophysical Observatory Solar Constant Program
    Provides a history of the Smithsonian Astrophysical Observatory and its solar constant measurement program, 1902-1962, developed by Charles Greeley Abbot.
  13. [13]
    Solar irradiance measurements - PMC - PubMed Central
    Jul 11, 2025 · These values ranged from 1338 to 1458 W m−2, from which they gave a “most probable” value of 1360 W m−2 (1.95 cal cm−2 min−1). They did admit ...
  14. [14]
    Initial Solar Irradiance Determinations from Nimbus 7 Cavity ...
    Preliminary results from solar radiation measurements from the earth radiation budget experiment on the Nimbus 7 satellite yield a mean value of 1376.0 watts ...Missing: SORCE sources
  15. [15]
    The Nimbus 7 solar total irradiance: A new algorithm for its derivation
    Jan 1, 1992 · The Nimbus 7 satellite has measured the solar total irradiance from November 1978 to July 1991 (153 months).
  16. [16]
    UARS/ACRIM II Total Solar Irradiance Measurements | NCEI - NOAA
    The daily averages of the ACRIM II total solar irradiance are calculated from about 240 daily shutter irradiance values. The uncertainty of the daily ...
  17. [17]
    A new, lower value of total solar irradiance: Evidence and climate ...
    Jan 14, 2011 · The most accurate value of total solar irradiance during the 2008 solar minimum period is 1360.8 ± 0.5 W m−2 according to measurements from ...
  18. [18]
    TIM - SORCE - Laboratory for Atmospheric and Space Physics
    Relative changes in solar irradiance are measured to less than 10 ppm/yr (0.001%/yr), allowing determination of possible long-term variations in the Sun's ...
  19. [19]
    The Total Irradiance Monitor (TIM): Instrument Design | Solar Physics
    Four electrical substitution radiometers behind precision apertures measure input radiant power while providing redundancy.
  20. [20]
    TSI Composite - PMOD/WRC
    The difference in irradiance between solar minima (SM) from consecutive solar cycles (e.g., ∆I22/23−21/22) is also displayed with the uncertainties (bold text).
  21. [21]
    [PDF] NASA SP-8005
    The solar constant is the amount of total radiant energy received from. 1. Page 6. the Sun per unit time per unit area exposed normally to the Sun's rays at the ...
  22. [22]
    Introduction to Solar Radiation - Newport
    The solar constant is the total integrated irradiance over the entire spectrum (the area under the curve in Figure 1 plus the 3.7% at shorter and longer ...
  23. [23]
    Data on total and spectral solar irradiance - Optica Publishing Group
    Solar radiation is usually described in terms of solar spectral irradiance and the solar constant. The solar constant is the amount of total radiant energy ...
  24. [24]
    The sun's total and spectral irradiance for solar energy applications ...
    Using the most recent composite time series of total solar irradiance spaceborne measurements, a solar constant value of 1366.1 W m −2 is confirmed.
  25. [25]
    Characteristics of solar-irradiance spectra from measurements ...
    Mar 29, 2022 · Furthermore, the total solar irradiance (TSI, formerly known as the solar constant) is an estimation of the total power radiated by the Sun. Due ...
  26. [26]
    [PDF] Astronomical CONSTANTS AND CONVERSION FACTORS
    SOLAR DATA. Apparent bolometric magnitude, mbol: -26.82. Apparent visual magnitude, mV (or V):. -26.74. Absolute bolometric magnitude, Mbol: + 4.75. B - V ...<|control11|><|separator|>
  27. [27]
    phy217 - instruments - photometers - magnitudes and fluxes
    m - M = 5 log10(d/10). This equation relates the apparent and absolute magnitude of a source with its distance, where d is in parsecs. For example, the ...Missing: visual | Show results with:visual
  28. [28]
    A reevaluation of the solar constant based on a 42-year total solar ...
    Jul 1, 2018 · Based on the resulting TSI reconstruction, a revised solar constant value of 1361.1 W/m2 is obtained, with a standard uncertainty of 0.5 W/m2.
  29. [29]
    NOMINAL VALUES FOR SELECTED SOLAR AND PLANETARY ...
    The effort resulted in the IAU 2015 Resolution B3, passed at the IAU General Assembly by a large majority. The resolution recommends the use of nominal solar ...ABSTRACT · STEPS TOWARD THE... · IAU 2015 RESOLUTION B3
  30. [30]
    Solar structure and evolution | Living Reviews in Solar Physics
    Apr 26, 2021 · From bolometric measurements of the solar 'constant' from space the total solar luminosity can be determined, given the Sun-Earth distance, if ...
  31. [31]
    [PDF] Standard solar models - arXiv
    May 3, 2021 · The solar radiative lumi- nosity is indeed a solar-model independent measurement, and for instance, B16 adopted that of Fröhlich & Lean (1998), ...
  32. [32]
    Magnitudes and timescales of total solar irradiance variability
    Jun 16, 2016 · The 11-year solar cycle shows variations of comparable magnitude ... Evidence of a long-term trend in total solar irradiance,. A&A, 501 ...
  33. [33]
    A SOLAR IRRADIANCE CLIMATE DATA RECORD - AMS Journals
    Sep 30, 2015 · Neither the TSI nor SSI is constant despite the historical reference of TSI as “the solar constant.” The sun's 11-yr, and longer, cycles of ...
  34. [34]
    (PDF) Solar Irradiance Variability Since 1978 - ResearchGate
    Aug 6, 2025 · Since November 1978 a set of total solar irradiance (TSI) measurements from space is available, yielding a time series of more than 25 years ...
  35. [35]
    [PDF] The Sun and Climate - USGS.gov
    Lean and others (1995a) estimated that during the Maunder. Minimum, total solar irradiance was reduced by 0.2 percent relative to a present quiet sun ...
  36. [36]
    Changes in the Total Solar Irradiance and climatic effects
    Jul 22, 2021 · The PMOD-composite suggests that there was a decline of 0.1 Wm−2 between the TSI-minima in 1985 and 2017 (the last data point date shown by the ...
  37. [37]
    Past millennial solar forcing magnitude | Climate Dynamics
    Sep 22, 2012 · The climate model simulations are driven by either “low” or “high” solar forcing amplitudes (0.1 and 0.25 % smaller total solar irradiance in ...
  38. [38]
    Advancements in solar spectral irradiance measurements by the ...
    Apr 12, 2024 · The TSIS-1 SIM SSI spectrum shows lower IR irradiance (up to 6% at 2400 nm) and small visible increases (~0.5%) from some previous reference solar spectra.
  39. [39]
    Climate Change: Incoming Sunlight | NOAA Climate.gov
    On average, the Sun delivers 1,361 Watts of power per square meter at a distance of one astronomical unit. This amount is known as the total solar irradiance.
  40. [40]
    Solar irradiance measurements | Living Reviews in Solar Physics
    Jul 11, 2025 · Short-term total-irradiance variations exceeding 0.1% can occur over a few days while variations of ~ 0.1% in-phase with the solar cycle are ...
  41. [41]
    What Is the Sun's Role in Climate Change? - NASA Science
    Sep 6, 2019 · The Sun powers life on Earth; it helps keep the planet warm enough for us to survive. It also influences Earth's climate.Missing: constant | Show results with:constant
  42. [42]
    Causes of Climate Change | US EPA
    Aug 25, 2025 · While these changes can influence the earth's climate, solar variations have played little role in the climate changes observed in recent ...Greenhouse Gases · Natural Processes · Variations In Solar Activity
  43. [43]
    Oscillations of global mean TEC - Hocke - 2008 - AGU Journals - Wiley
    Apr 10, 2008 · As expected the amplitude is around 3.3% due to the annual variation of the Sun-Earth distance. A depression of the amplitude is present from ...
  44. [44]
    2025 January 4 - Welcome to Perihelion - APOD
    Jan 4, 2025 · At perihelion the Earth was about 147 million kilometers from the Sun. For comparison, at aphelion on last July 3 Earth was at its farthest ...
  45. [45]
    solar_constant.html - UNLV Physics
    The solar constant is the integrated radiant flux (AKA flux) (power per unit perpendicular-to-the-beam area per unit time) from the Sun at the mean Earth-Sun ...Missing: 1 | Show results with:1
  46. [46]
    [PDF] 19680013960.pdf - NASA Technical Reports Server (NTRS)
    The value of the solar constant, S, is 2.00 small cal. per min. on one sq ... (6) in the text. a. (Eq. 6a in the text). 1. = 1-e cos E) a2 z = -. R2 a ...
  47. [47]
    The Sun and Solar Activity - The Solar Constant - SWS
    The power of the Sun at the Earth, per square metre is called the solar constant and is approximately 1370 watts per square metre (W/m 2 ).
  48. [48]
    Dissertation Appendices - Lorraine Lisiecki
    The main argument in favor of Milankovitch theory is the dominance of precession, obliquity, and eccentricity frequencies in both insolation changes and the ...
  49. [49]
  50. [50]
    Air Mass - PV Performance Modeling Collaborative (PVPMC)
    As the zenith angle becomes larger, the path of direct sunlight through the atmosphere grows longer and air mass increases.
  51. [51]
    quantifying the impact of cloud cover on solar irradiance and ...
    Nov 9, 2021 · Solar irradiance was minimally impacted up to ≈50% cloud cover but decreased by ≈67% at 100% cloud cover. Both random forest and artificial ...
  52. [52]
    Comparative Analysis of Ground-Based Solar Irradiance ... - MDPI
    Mar 26, 2024 · Calibration errors: calibration errors can occur in both satellite data and ground-based measurements. ... solar radiation, improving the accuracy ...2. Related Works · 3. Materials And Methods · Appendix AMissing: constant inaccuracies<|control11|><|separator|>
  53. [53]
    The Estimated Climate Impact of the Hunga Tonga‐Hunga Ha'apai ...
    Sep 26, 2023 · Following the January 2022 Hunga-Tonga eruption, both aerosols and water vapor increased in the stratosphere. The stratospheric water vapor ...
  54. [54]
    California wildfire smoke dimmed solar energy in 2020 - News
    Dec 7, 2022 · During days of heavy smoke, irradiance was sharply reduced and energy production plummeted 10-30% between noon and 4 p.m., compared with the ...Missing: 2020s | Show results with:2020s