Clouds and visibility calculator

Extraterrestrial Solar Radiation Calculator

Estimate top-of-atmosphere solar irradiance normal to the rays from day of year. The page keeps overlap, angle, optical threshold, units, and model limits visible.

Optical path model

Supply the stated values

1–365

What Extraterrestrial Solar Radiation represents

Earth-Sun distance changes through the year. The common 0.033 cosine correction modulates a 1,361 W/m² solar constant using day number.

Extraterrestrial Solar Radiation begins with day of year. Mark each value as observed, remotely sensed, modeled, assumed, or derived, and preserve its valid time and spatial support.

Where the model stops

The single-harmonic orbit correction is approximate and does not include minute-scale solar variability, exact ephemeris distance, atmospheric transmission, or surface orientation.

Extraterrestrial Solar Radiation is transparent educational arithmetic, not a cloud observation, weather forecast, solar-resource assessment, flight rule, runway visual range report, instrument calibration, or operational safety authority.

Uncertainty and sensitivity

Vary the least certain Extraterrestrial Solar Radiation input over a credible range and retain the resulting spread in extraterrestrial normal irradiance. Display precision cannot overcome observer classification, retrieval uncertainty, spatial variability, or an empirical coefficient.

A Extraterrestrial Solar Radiation sensitivity range is not automatically a probability interval. It omits correlations, model-form error, sampling mismatch, sub-grid cloud structure, nonuniform visibility paths, and uncertainty outside the entered variables.

Cloud amount, overlap, and layers

Cloud fraction is an area or sky-dome proportion, while a ceiling is a height classification and optical depth is attenuation. Extraterrestrial Solar Radiation should not substitute one quantity for another merely because each relates to cloud.

When layers enter Extraterrestrial Solar Radiation, state whether overlap is random, maximum, observed, or ignored. Adding layer percentages directly can exceed 100% and double-count vertically aligned cloud.

Visibility and contrast conventions

Visibility from Extraterrestrial Solar Radiation depends on the target contrast threshold and extinction units. Meteorological optical range fixes a two-percent contrast convention; a general contrast range or runway screening estimate may use another threshold.

Do not equate Extraterrestrial Solar Radiation optical distance with prevailing visibility, slant range, night visual range, or official RVR without the required observation and processing conventions.

Continue the Extraterrestrial Solar Radiation workflow with the related Weighted Cloud Cover Calculator, keeping the same observation support and conventions.

Solar geometry and radiation conventions

Solar elevation is measured above the geometric horizon, while azimuth here is clockwise from true north. Extraterrestrial Solar Radiation must retain whether radiation is normal to the rays or incident on a horizontal surface.

Civil time is not solar hour angle. Longitude, time zone, equation of time, atmospheric refraction, shading horizon, and surface tilt belong in Extraterrestrial Solar Radiation only when the displayed model explicitly includes them.

Continue the Extraterrestrial Solar Radiation workflow with the related Cloud Base Height Calculator, keeping the same observation support and conventions.

Continue the Extraterrestrial Solar Radiation workflow with the related Visibility from Extinction Coefficient Calculator, keeping the same observation support and conventions.

Formula and convention

The working relationship is G_on = 1361[1 + 0.033 cos(2πn/365)]. Extraterrestrial Solar Radiation uses only the displayed entries and does not retrieve imagery, station observations, ephemerides, forecasts, or runway systems.

Keep percentages as percentages at entry and convert them to fractions only where the formula shows it. For Extraterrestrial Solar Radiation, retain angle direction, optical threshold, height reference, and distance unit with the answer.

Checked numerical example

On day 1, extraterrestrial normal irradiance is approximately 1,405.90 W/m².

Reset restores this Extraterrestrial Solar Radiation example. Repeat it independently with the stated constants and rounding before replacing demonstration values with observations or scenarios.

Collecting compatible inputs

Enter a day number under a 365-day convention and document leap-day handling. The result applies to a plane perpendicular to sunlight above the atmosphere.

Record site, coordinates, elevation, timestamp, time zone, path direction, wavelength or sensor band, target definition, cloud-layer method, solar-time convention, averaging period, and quality flags when relevant to Extraterrestrial Solar Radiation.

Interpreting Extraterrestrial normal irradiance

Values are highest near early January and lowest near early July. Horizontal-surface radiation additionally requires solar elevation and time integration.

Compare Extraterrestrial Solar Radiation outputs only after aligning reference height, sky footprint, path, illumination, contrast convention, and temporal average. Similar numbers can describe different optical or geometric quantities.

Boundary and monotonic checks

Day number is limited to 1–365. The annual mean remains close to the chosen solar constant.

For Extraterrestrial Solar Radiation, change one input at a time and predict whether the answer should rise, fall, or remain fixed. Unexpected behavior can expose percent-fraction, degree-radian, metre-kilometre, or layer-order mistakes.

Spatial and temporal representativeness

Cloud and visibility can change across seconds, kilometres, viewing directions, and vertical layers. One Extraterrestrial Solar Radiation input set represents only its declared path, footprint, and interval.

When combining several Extraterrestrial Solar Radiation samples, document weights and retain individual values so variability is not hidden by a single mean or total.

Frequent clouds and visibility errors

Typical Extraterrestrial Solar Radiation errors include mixing oktas and tenths, confusing AGL with MSL, adding overlapping layers, treating degrees as radians, using sea-level-reduced visibility, or applying a two-percent constant to a five-percent threshold.

Reject impossible Extraterrestrial Solar Radiation combinations rather than forcing an answer. Keep a clear zero distinct from missing or obscured sky, preserve signs on hour angle, and verify every inverse distance and logarithm denominator before downstream use.

Continue the Extraterrestrial Solar Radiation workflow with the related Cloud Oktas from Percentage Calculator, keeping the same observation support and conventions.

Questions about the sky model

Can forecast or scenario inputs be used?

Yes. Label the Extraterrestrial Solar Radiation output as a scenario; the page does not fetch or validate a forecast.

How can I verify Extraterrestrial Solar Radiation?

Repeat G_on = 1361[1 + 0.033 cos(2πn/365)] with the recorded conversions, then test the checked example and a physical boundary.

Why could another source disagree?

Another source may use different cloud overlap, optical threshold, solar convention, coefficient, sensor path, height reference, or rounding than Extraterrestrial Solar Radiation uses.

Is this an operational visibility or aviation value?

No. Extraterrestrial Solar Radiation does not replace official weather observations, RVR systems, flight procedures, warnings, or qualified judgment.

How should the result be rounded?

Keep full precision inside Extraterrestrial Solar Radiation, then round no more finely than the least certain measurement or model assumption supports.

When should I recalculate?

Recalculate Extraterrestrial Solar Radiation when its site, time, path, layer, sky footprint, illumination, source observation, or model assumption changes.

What does Extraterrestrial Solar Radiation report?

Extraterrestrial Solar Radiation reports extraterrestrial normal irradiance from the displayed inputs and formula.